Math Connections between data

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Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data Name: Date: Graded Assignment Unit Test, Part 2: Connections Between Data Answer the questions. When you have finished, submit this assignment to your teacher by the due date for full credit. (10 points) 1. The table shows the distances, in meters, that each player in a game tossed a ball, and the total number of earned points each player made for those tosses. Distance (m) Total earned points 6.5 6 5 8.5 2 5.5 6.5 8 3 6 4.5 6 15 15 22 21 9 8 14 14 19 27 14 16 Score A. Create a scatter plot of the data set. Use the distance for the input variable and the total earned points for the output variable. B. Are there any clusters or outliers in the data set? If so, identify them. Answer: © 2013 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 1 of 3 Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data (10 points) 2. A linear model for the data in the table is shown in the scatter plot. x 1 2 4 5 6 7 8 9 Score y 14 12 11 11 9 7 4 3.5 A. Which two points should you use to find the equation of the model? Explain. B. Use the two points you chose in Part A to find the slope of the linear model, rounded to three decimal places. Show your work. C. What is the equation of the linear model in point-slope form? D. Rearrange the equation you wrote in Part C into slope-intercept form. Show your work. Answer: © 2013 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. Page 2 of 3 Math | Graded Assignment | Unit Test, Part 2 | Connections Between Data (8 points) 3. The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws Free throws 4 8 10 23 6 9 15 34 0 5 7 11 Score 11 27 A. Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Equation of regression model Coefficient of determination Linear model Quadratic model Exponential model* * standard form B. Which model best fits the data set? Explain. Answer: Your Score © 2013 K12 Inc. All rights reserved. Copying or distributing without K12’s written consent is prohibited. ___ of 28 Page 3 of 3
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