A high school basketball coach wants to see whether there is a linear relationship between player height, x, and the number of points scored in a game by basketball players in the coach’s state, y. The 96 percent confidence interval to estimate the slope of the linear regression line relating player height to points scored in a game is calculated to be (−0.432,1.844)Assume all conditions for inference for the slope of a regression line were met. Based on the confidence interval, which of the following claims is supported by the confidence interval? A)Each player scored at most 1.844 points in a game. B)The average difference between actual points scored and predicted points scored is between −0.432 and 1.844. C)There is a positive linear relationship between player height and number of points scored for basketball players in the coach’s state. D)There is a negative linear relationship between player height and number of points scored for basketball players in the coach’s state. E)It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach’s state is positive or negative.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4GP

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A high school basketball coach wants to see whether there is a linear relationship between player height, x, and the number of points scored in a game by basketball players in the coach’s state, y. The 96 percent confidence interval to estimate the slope of the linear regression line relating player height to points scored in a game is calculated to be (−0.432,1.844)

Assume all conditions for inference for the slope of a regression line were met. Based on the confidence interval, which of the following claims is supported by the confidence interval?

A)Each player scored at most 1.844 points in a game.
B)The average difference between actual points scored and predicted points scored is between −0.432 and 1.844.
C)There is a positive linear relationship between player height and number of points scored for basketball players in the coach’s state.

D)There is a negative linear relationship between player height and number of points scored for basketball players in the coach’s state.
E)It cannot be determined whether the linear relationship between player height and number of points scored for basketball players in the coach’s state is positive or negative.

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