For each of these word problems, students should be able to: Samantha has $3.40 in dimes and quarters. The number of dimes is 8 less than the number of quarters. How many coins of each type does she have? | A piggy bank has $4.30 in dimes and quarters. If the number of dimes is 7 more than 2 times the number of quarters, how many coins of each type are in the piggy bank? | George's age is 5 times Kendell's age. The sum of their ages is 48. Find the age of each. | The difference of Jimmy's age and Linda's age is 10 years. The sum of 5 times Jimmy's age and 4 times Linda's age is 104. How old is each? | There were 235 people at a movie to raise funds for the drama club. Admision was $8.00 for each adult and $4.00 for each student. The total receipts for all tickets was $1504.00. How many adults and how many students attended? | The length of a rectangle is 11 m less than 5 times the width. The perimeter is 434 m. Find the length and width of the rectangle. | George scored 13 more points than twice as many as Roy did. Their combined score was 40 points. How many points did each score? | The difference of Jen's age and Mark's age is 6 years. The sum of 4 times Jen's age and 3 times Mark's age is 108. How old is each? | - Texas Go Math
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Go Math Grade 8 Answer Key Chapter 14 Scatter PlotsA great selection will give you a happy ending. Such best selection to learn maths is Go Math Grade 8 Answer Key Chapter 14 Scatter Plots. Yes. Go Math Grade 8 Chapter 14 Scatter Plots Answer Key is the only choice for students who wants the easy and best learning of maths. To help every student to practice maths, we provided questions and answers along with the explanation in an easy way. Therefore, start practicing the maths with the help of Go Math Grade 8 Answer Key . It is an open place to learn maths. You need not pay anything to anyone to learn maths. We are offering a free PDF of Go Math Grade 8 Answer Key Chapter 14 Scatter Plots. So, students can learn offline with the help of Go Math Grade 8 Chapter 14 Scatter Plots Answer Key if they want. Or else, it is also easy to learn maths with the HMH Go Math guide. What are you waiting for? Immediately start practicing maths now using GO Math Grade 8 Answer Key. Lesson 1: Scatter Plots and Association - Scatter Plots and Association – Page No. 436
- Scatter Plots and Association – Page No. 437
Scatter Plots and Association – Page No. 438Lesson 2: Trend Lines and Predictions - Trend Lines and Predictions – Page No. 442
- Trend Lines and Predictions – Page No. 443
- Trend Lines and Predictions – Page No. 444
- Model Quiz – Page No. 445
Mixed Review - Mixed Review – Page No. 446
Guided Practice – Scatter Plots and Association – Page No. 436Explanation: As Bob gets older, his height increases along with the straight line on the graph. So, the association is positive and linear. Scatter Plots and Data Analysis Answer Key Question 2. Describe the association between Bob’s age and his height. Explain the association. Type below: _____________ Answer: The association is positive and linear. Bob’s height increases as he gets older. We would see that Bob’s height eventually stops increasing if the data continues. Answer: There is an outlier at (35,18) Explanation: There is a cluster in the “20 – 25” shots attempted range and a smaller cluster in the “5 – 14” shots attempted range. There is an outlier at (35,18) ESSENTIAL QUESTION CHECK-IN Question 4. Explain how you can make a scatter plot from a set of bivariate data. Type below: _____________ Answer: Bivariate data – data that has two variables per observation, An x variable and y variable. Scatterplot – The graph displaying categorical data, with an x and y-axis. Response Variable – the variable that is explained by the other. Explanatory Variable – the variable which explains the other. 14.1 Independent Practice – Scatter Plots and Association – Page No. 437Sports Use the scatter plot for 5–8. Question 5. Describe the association between the year and the distance jumped for the years 1960 to 1988. Type below: _____________ Answer: The data shows a positive linear association. If the year increases, the winning distance increases. Question 6. Describe the association between the year and the distance jumped for the years after 1988. Type below: _____________ Answer: Between 1996 and 2004, there was a slight increase in distance over time. The data from 1988 to 2012 will show a negative association. Question 7. For the entire scatter plot, is the association between the year and the distance jumped linear or nonlinear? _____________ Answer: The data show a rise between 1960 and 1988. The data also show a fall between 1988 and 2012. Therefore, overall, there is no linear pattern. Scatter Plots and Data Unit Test Answer Key Question 8. Identify the outlier and interpret its meaning. Type below: _____________ Answer: The outlier is at (1968, 8.9). It represents a long jump of 8.9 meters in 1968 that exceeds the other jumps made in the surrounding years. Question 9. Communicate Mathematical Ideas Compare a scatter plot that shows no association to one that shows a negative association. Type below: _____________ Answer: Randomly scattered data points with no apparent pattern define a scatter plot with no association. Data points that fall from left to right and has data set values that increase as the other decreases define a scatter plot with a negative association. For 10–11, describe a set of real-world bivariate data that the given scatter plot could represent. Define the variable represented on each axis. Answer: The x-axis represents the number of containers. The y-&is represents the price per container. Answer: The x-axis represents the number of hours spent watching tv. The y-axis represents the number of TVs owned. FOCUS ON HIGHER ORDER THINKING Question 12. Multiple Representations Describe what you might see in a table of bivariate data that would lead you to conclude that the scatter plot of the data would show a cluster. Type below: _____________ Answer: A cluster in a scatter plot is when there are a lot of points all grouped around the same location. Look for points that have the same input and output values. If there are a lot of points together, you must have a cluster in your scatter plot. Question 13. Justify Reasoning Is it possible for a scatter plot to have a positive or negative association that is not linear? Explain. Type below: _____________ Answer: Yes Explanation: Yes; it is possible for a scatter plot to have a positive or negative association that is not linear. The data points may have a falling or rising curve that will exhibit a nonlinear association. Question 14. Critical Thinking To try to increase profits, a theater owner increases the price of a ticket by $25 every month. Describe what a scatter plot might look like if x represents the number of months and y represents the profits. Explain your reasoning. Type below: _____________ Answer: Initially, the number of tickets sold might decline a little, but the price increase would offset the loss in sales. That means that profits would increase, showing a positive association. When the price would get too high, ticket sales would decline rapidly, so profits would fall giving a negative association. Guided Practice – Trend Lines and Predictions – Page No. 442Angela recorded the price of different weights of several bulk grains. She made a scatter plot of her data. Use the scatter plot for 1–4. Question 2. How do you know whether your trend line is a good fit for the data? Type below: _____________ Answer: Most of the data points are close to the trend line. The trend line has about the same number of points above and below it. Scatter Plots and Trend Lines Quiz 1 Answer Key Question 3. Write an equation for your trend line. Type below: _____________ Answer: y = 0.09x Explanation: The trend line passes through (0, 0) and (19, 1.80). Find the slope by using the slope formula. slope = m = (y2 – y1)/(x2 – x1) = 1.80/19 = 0.09 The line passes through the origin. So, the y-intercept is 0. From an equation for the trend line substituting the slope value for m and the value of the y-intercept b in the slope-intercept formula. y = mx + b y = 0.09x + 0 y = 0.09x Question 4. Use the equation for your trend line to interpolate the price of 7 ounces and extrapolate the price of 50 ounces. Type below: _____________ Answer: The price for 7 and 50 ounces is $0.63 and $4.50 Explanation: Use the equation for the trend line (y = 0.09x) to interpolate the price of 7 ounces by substituting 7 for x (y= 0.09 • 7) and solving for y. Use the equation for the trend line (y = 0.09x) to interpolate the price of 50 ounces by substituting 50 for x (y= 0.09 • 50) and solving for y. Question 5. A trend line passes through two points on a scatter plot. How can you use the trend line to make a prediction between or outside the given data points? Type below: _____________ Answer: Use two points on the line. rind the slope and y-intercept. Substitute the values of the slope (m) and y-intercept (b) to form an equation using y = mx + b. Substitute the value of x for which you want to make a prediction and solve for y OR substitute your prediction for y and solve to find its value. 14.2 Independent Practice – Trend Lines and Predictions – Page No. 443Question 7. What type of association does the trend line show? Type below: _____________ Answer: Negative Association Explanation: One data set increases – Wind Speed and the other – Wind Chill decreases. So, the trend line shows a Negative Association. Scatter Plots and Trend Lines Answer Key Question 8. Write an equation for your trend line. Type below: _____________ Answer: y = -0.25x + 2.5 Explanation: Find the slope using the Slope Formula m = (y2 – y1)/(x2 – x1) = ((-10) – 5)/(50 – 30) = -5/20 = -0.25 Find the y-intercept using the Slope-Intercept Formula y = mx + b -5 = -0.25(30) + b -5 = -7.5 + b 2.5 = b Substitute the value of m and b into the Slope-Intercept Formula to form an equation for the trend line. y = -0.25x + 2.5 Question 9. Make a Prediction Use the trend line to predict the wind chill at these wind speeds. a. 36 mi/h _________ °F Answer: -6.5°F Explanation: Use the trend line to predict the wind chill at 36mi/h y = -0.25x + 2.5 y = -0.25(36) + 2.5 y = -9 + 2.5 y = -6.5 The wind chill at 36mi/h is -6.5ºF Question 9. b. 100 mi/h _________ °F Answer: -22.5°F Explanation: Use the trend line to predict the wind chill at 100mi/h y = -0.25x + 2.5 y = -0.25(100) + 2.5 y = -25 + 2.5 y = -22.5 The wind chill at 100mi/h is -22.5ºF Question 10. What is the meaning of the slope of the line? Type below: _____________ Answer: The slope means that the wind chill falls about 1°F for every 4 mph increase in wind speed. Problem Solving with Trend Lines Worksheet Answers Question 12. Write an equation for your trend line. Type below: _____________ Answer: y = -(2/15)x + 64 Explanation: Find the slope using the Slope Formula m = (y2 – y1)/(x2 – x1) = (72 – 64)/(60 – 0) = 8/60 = -2/15 Find the y-intercept using the Slope-Intercept Formula at (0, 64) y = mx + b b = 64 Substitute the value of m and b into the Slope-Intercept Formula to form an equation for the trend line. y = -2/15x + 64 Question 13. Make a Prediction Use the trend line to predict the apparent temperature at 70% humidity. Type below: _____________ Answer: 73.3º F Explanation: Use the equation of the trend line. Substitute 70(for 70%) into the equation for x. y = -(2/15)x + 64 y = -(2/15)(70) + 64 y = -140/15 + 64 y = -9.3 + 64 y = 73.3 The apparent temperature is 73.3º F Question 14. What is the meaning of the y-intercept of the line? Type below: _____________ Answer: The y-intercept explains that at 0% humidity, the apparent temperature is 64ºF FOCUS ON HIGHER ORDER THINKING – Trend Lines and Predictions – Page No. 444Question 15. Communicate Mathematical Ideas Is it possible to draw a trend line on a scatter plot that shows no association? Explain. _____________ Explanation: It is not possible to draw a trend line on a scatter plot that shows no association. If the scatter plot shows no association, the data points have no relationships with one another. You can draw a trend line if a linear association is available. Question 16. Critique Reasoning Sam drew a trend line that had about the same number of data points above it as below it, but did not pass through any data points. He then picked two data points to write the equation for the line. Is this a correct way to write the equation? Explain. _____________ Explanation: Sam did not use the correct way to write an equation. Sam may have drawn a correct trend line but using the data points that are not on the trend line may have an incorrect equation for the line. He should use two points on that trend line to write the equation. Problem Solving with Trend Lines Homework 4 Answer Key Question 17. Marlene wanted to find a relationship between the areas and populations of counties in Texas. She plotted x (area in square miles) and y (population) for two counties on a scatter plot: Kent County (903, 808) Edwards County (2118, 2002) She concluded that the population of Texas counties is approximately equal to their area in square miles and drew a trend line through her points. a. Critique Reasoning Do you agree with Marlene’s method of creating a scatter plot and a trend line? Explain why or why not. _____________ Answer: I do not agree with Marlene’s method of creating a scatter plot and a trend line. She did not have enough data. Marlene should have collected and plotted data for many more counties. Question 17. b. Counterexamples Harris County has an area of 1778 square miles and a population of about 4.3 million people. Dallas County has an area of 908 square miles and a population of about 2.5 million people. What does this data show about Marlene’s conjecture that the population of Texas counties is approximately equal to their area? Type below: _____________ Answer: The data collected are only of two counties whose populations are nearly equal to their area. The fact that the populations of Harris and Dallas counties are in the millions, Marlene’s conjecture about the population of Texas counties being equivalent to their area is invalid. Ready to Go On? – Model Quiz – Page No. 44514.1 Scatter Plots and Association Unit Scatter Plots and Data Homework 1 Answer Key Question 2. Describe the association you see between the number of quarts purchased and the price per quart. Explain. Type below: _____________ Answer: Negative nonlinear association Explanation: The association seen between the number of quarts purchased and the price per quart is negative and nonlinear. As the number of quarts rises, the price per quart decreases but you can see a data curve. 14.2 Trend Lines and Predictions The scatter plot below shows data comparing wind speed and wind chill for an air temperature of 20 °F. Use the scatter plot for Exs. 3–5. Question 4. Write an equation for your trend line. Type below: _____________ Answer: y = -0.35x + 12.25 Explanation: The line passes through (10, 8.75) and (35, 0) so we can use these points to find the slope. The slope of the line is : Slope = m = (y2 – y1)/(x2 – x1) = (0 – 8.75)/(35 – 10) = -8.75/25 = -0.35 Find the y-intercept using the slope-intercept formula : y = mx + b 0 = -0.35 . 35 + b 0 = -12.25 + b b = 12.25 Substitute the slope m and the y-intercept b in the slope-intercept formula. The equation for the trend line is : y = mx + b y = -0.35x + 12.25 Problem-Solving with Trend Lines Homework 4 Answers Question 5. Use your equation to predict the wind chill to the nearest degree for a wind speed of 60 mi/h. ________ °F Answer: 9°F Explanation: y = −0.35x + 12.25 y = -0.35(60) + 12.25 y = -21 + 12.25 y = -8.75 The wind chill to the nearest degree for a wind speed of 60 mi/h is 9°F. ESSENTIAL QUESTION Question 6. How can you use scatter plots to solve real-world problems? Type below: _____________ Answer: Using a scatter plot, you can see positive and negative trends such as prices over time. You can also make predictions such as height at a certain age. Selected Response – Mixed Review – Page No. 446Answer: b. B Question 2. What type of association would you expect between a person’s age and hair length? Options: a. linear b. negative c. none d. positive Answer: c. none Explanation: The length of their hair reduces. This is because the length of hair changes with the growth phase of the hair follicles. When one is young, the cells of the papilla divide more rapidly, and hence the length of the hair is long before reaching the transitional phase and then shedding off in the telogen phase. The older one gets, the papilla cells do not divide as rapidly and the length of the hair shortens with age. Answer: d. positive association Explanation: The scatter plot shows a cluster, some outliers, and a negative association. It does not show a positive association. Unit Scatter Plots and Data Homework 3 Answer Key Question 4. A restaurant claims to have served 352,000,000 hamburgers. What is this number in scientific notation? Options: a. 3.52 × 10 6 b. 3.52 × 10 8 c. 35.2 × 10 7 d. 352 × 10 6 Answer: b. 3.52 × 10 8 Explanation: 100,000,000 So, 3.52 × 10 8 Answer: b. y = −\(\frac{1}{4}\)x Explanation: In order to find out the relationship between x and y, we have to use the values in the question and substitute them into the solution options. So, y = -1/4x Question 6. b. Which data point is an outlier? Type below: ______________ Answer: The outlier is the point (92, 135). Question 6. c. Predict the number of visitors on a day when the high temperature is 102 °F. Type below: ______________ Answer: Based on the cluster around 100°F, I would expect that on a day with a temperature of 102 °F, the pool would have between 350 and 400 visitors. Conclusion:Go Math Grade 8 Answer Key Chapter 14 Scatter Plots for free. Get your copy and start practicing now. Become a member of learning maths in the best and easy way with the help of the Go Math Grade 8 Chapter 14 Scatter Plots Answer Key. Enjoy learning maths with the help of the HMH Go Maths Grade 8 Solution Key. Share this:Leave a comment cancel reply. You must be logged in to post a comment. Have an account? Suggestions for you See moreScatter Plots8th - 9th , constant of proportionality, multiplying fractions by whole numbers, multiplication and division, scatter plots and trend lines, linear regression & scatterplots. 7th - 12th gradeMathematics. 18 questions Introducing new Paper modeNo student devices needed. Know more - 4. Multiple Choice Edit 1 minute 1 pt You are analyzing a scatter plot that has a negative correlation. What is true of the of the x and y values? As x increases, y decreases As x increases, y increases As x decreases, y decreases
- 8. Multiple Choice Edit 1 minute 1 pt The number of siblings you have and your weight would have which type of correlation? Positive Negative None All of the above
If a carpenter earned $1000, what is the best estimate for how many days he worked? Which of the following would be the most accurate equation for the scatter plot? y = -2x - 7 y = 25x + 7 Choose the graph with a trend line that best fits the data. What would be a good estimate for the regression (r) value? Explore all questions with a free account Continue with email Continue with phone Scatter Plots and Trend Lines Activity | Writing Trend Line Equations ActivityWhat educators are sayingAlso included in. DescriptionThis Scatter Plots and Trend Lines Cut and Paste is a great way for students to practice writing equations of trend lines. Students will use the scatter plots and trend lines provided to cut and paste the correct trend line equation. This activity is great for extra practice, as a station or center, and can be used to add variety to homework or independent work. Students can be hands-on, while still applying their understanding of scatter plots and trend lines. Students are able to practice and apply concepts with this scatter plots and trend lines activity, while collaborating and having fun! Math can be fun and interactive! Standards: CCSS (8.SP.3) and TEKS (8.5D) More details on what is included: 22 ready-to-print trend line equations that can be utilized in pairs or groups of 3-4 and any necessary recording sheets and answer keys. - Cut and Paste: Scatter Plots and Trend Lines
- Recording Sheet
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Looking for instructional materials? - Check out the corresponding Scatter Plots and Data Unit , which includes student handouts, independent practice, assessments, and answer keys.
More 8th Grade Activity Bundles: Unit 1: Real Number System Unit 2: Exponents and Scientific Notation Unit 3: Linear Equations Unit 4: Linear Relationships Unit 5: Functions Unit 6: Systems of Equations Unit 7: Transformations Unit 8: Angle Relationships Unit 9: Pythagorean Theorem Unit 10: Volume Unit 11: Scatter Plots and Data More 8th Grade Units: Looking for more helpful teaching tips, ideas, and support? Check out Maneuveringthemiddle.com and join our online FB community MTM VIPS! Try out a FREE math resource! Grab your freebie here! Licensing: This file is a license for ONE teacher and their students. Please purchase the appropriate number of licenses if you plan to use this resource with your team. Thank you! Customer Service: If you have any questions, please feel free to reach out for assistance . We aim to provide quality resources to help teachers and students alike, so contact me before leaving feedback if you have a need. Maneuvering the Middle ® Terms of Use Products by Maneuvering the Middle®, LLC may be used by the purchaser for their classroom use only. This is a single classroom license only. All rights reserved. Resources may only be posted online in an LMS such as Google Classroom, Canvas, or Schoology. Students should be the only ones able to access the resources. It is a copyright violation to upload the files to school/district servers or shared Google Drives. See more information on our terms of use here . If you are interested in a personalized quote for campus and district licenses, please click here . ©Maneuvering the Middle® LLC, 2012-present Questions & AnswersManeuvering the middle. - We're hiring
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1. Use the trend line shown on the scatter plot to answer a-c.
Julian made a scatter plot to show the number of band members at his school over the years. The trend line of his scatter plot had an equation of y = 13x + 45 where y represents the total number of band members and x represents the number of years since 1990. Answer Key. y = 15x. Minutes worked out.
Homework Sheets. Time to mathematically breakdown the trends on lines. Homework 1 - A trend line roughly describes the relationship between two variables in a set of data. Homework 2 - Plug (1, 2) and (0, -6) into the slope formula. Homework 3 - Plug the slope m = 3 and the y-intercept b = -4 into the slope-intercept formula. y = 3x - 4.
5-7. Scatter Plots and Trend Lines. Write an equation of trend line and line of best fit from data in a scatter plot. Make a scatter plot and describe it correlation. Determine whether a linear model is appropriate. Fitting a Line to Data. Find a linear equation that approximates a set of data points. Determine whether there is a positive or ...
See Answer. Question: SCATTER PLOTS AND TREND LINES 4, match each scatter plot to the equation that could represent the equation of its trend line. ot all of the choices will be used.) 2. "y=3x -I b, y=4x-2 3. a 4. g. The relationship is not linear. In 5-8, write an equation of the trend line in slope-intercept form.
Problem Solving with Trend Lines. Two-Way Tables. Relative Frequency. Scatter Plots and Data Study Guide. Squares and Square Roots. Real Number System. Fractions and Decimals. Estimating Square Roots. Rational Vs.
Scatter Plots and Trend Lines Caliah is trying to improve her reading skills by taking a speed- reading class. She is measuring how many words per minute (wpm) she can read after each week of the class.
4-5 Date Problem Solving Scatter Plots and Trend Lines Class Fawn is trying to improve her reading skills by taking a speed- reading class. She is measuring how many words per minute (wpm)
Homework a. - f. Figure drawn accurately g. Answers will vary. a. - g. Figure drawn accurately h. Answers will vary. a. Points labeled; labels will vary.
Answers ADDITIONAL PRACTICE AND PROBLEM SOLVING Assign these pages to help your students practice and apply important lesson concepts. For additional exercises, see the Student Edition.
Problem Solving with Trend Lines Homework 4 Answer Key Question 17. Marlene wanted to find a relationship between the areas and populations of counties in Texas.
learning focus. learning focus: construct and interpret scatter plots use trend line equations to make predictions display data in two-way tables and calculate relative frequencies. ready-to-go, scaffolded student materials. SCATTER PLOTS & DATA.
JT PROBLEM SOLVING WITH TREND LINES Part 1: The scatter plot at the left sho cost of gas per gallon during certain Use the scaller plot to answer questi PRICE OF GAS PER GALLON (S) S S D 25 30 35 40 45 50 YEARS (SINCE 1970) 1. Use the trendline shown on the scatter plot to answer ac d. Write an equation for the trend line in slope-interceptform ...
Scatter Plots and Trend Lines quiz for 7th grade students. Find other quizzes for Mathematics and more on Quizizz for free!
Description This Trend Lines and Predictions Scavenger Hunt consists of 10 clue cards where students must use the clue to solve problems using the equations of trend lines. This activity focuses on writing and interpreting equations of trend lines as well as using the equations to problem solve and make predictions.
Consider the given scatterplot figures. The figure 1 seems like an equation of straight line. Unit Scatter Plots and Data Homework 31 Namo In 1-4, match each scatter plot to the equation that could represent the (Not all of the choices will be used.) SCATTER PLOTS AND TREND LINES a. y = 3x b. y = 4x -2 o.y= +5 d. y = -5x o.y = -2X4 f.y=x +3 g.
Scatter Plots and Trend Lines. Fawn is trying to improve her reading skills by taking a speed- reading class. She is measuring how many words per minute (wpm) she can read after each week of the class. 1. Graph a scatter plot using the given data. Weeks. 2. 3.
Scatter Plots and Association (Homework 1) Constructing and Predicting Scatter Plots Class Notes. Constructing Scatter Plots (Student Handout 2) Constructing Scatter Plots (Homework 2) Scatter Plots and Predictions (Student Handout 3) Scatter Plots and Predictions (Homework 3) Trend Line Equations Class Notes.
Textbook solutions are written by subject-matter experts and verified for accuracy to provide you with the best quality homework help for challenging problems. To ensure the highest level of accuracy, the verification process involves a multi-step approach that includes multiple rounds of review and feedback before any textbook solution is ...
Students will use the scatter plots and trend lines provided to cut and paste the correct trend line equation. This activity is great for extra practice, as a station or center, and can be used to add variety to homework or independent work. Students can be hands-on, while still applying their understanding of scatter plots and trend lines.
Problem Solving REAL WORLD. Problem Solving REAL WORLD. Title. Go Math! Practice Book (TE), G5. Created Date. 3/29/2016 4:07:36 PM.
Our expert help has broken down your problem into an easy-to-learn solution you can count on. Question: LESSON 14-2 Trend Lines and Predictions Practice and Problem Solving: A/B Time and Distance Traveled 300 Use the scatter plot for Exercises 1-6. 1. Does the pattern of association between time (number of hours traveled) and distance (number ...
Where do I find problem solving with trend lines homework 4 answer key? The premium version of pdfFiller gives you access to a huge library of fillable forms (more than 25 million fillable templates).