a. Based on the scatterplot, is there a positive or negative association between height of athlete and length of jump?b. Based on the scatterplot, state why using a linear regression equation is justified to assess the relationship between height and length of jump.c. Which of the following (pick one only) could be a possible value of the correlation coefficientbetween distance and height? Explain in a sentence or two.Choices are: -1, -0.7, 0, 0.1, 0.7, 1. 2. A high school track & field coach wanted to assess the relationship between an athletes height andhow far they can jump in the long jump event (both in inches). They collect data on each athletesheight and how far they can jump. Let the height in inches of the athlete be the explanatory variable(X) and the distance in inches of the jump be the response (Y).The scatterplot of the data based on 32 athletes is as follows:distance88868482807800O70Scatter Plot72height00000 008748¥ 757678

From the given scatter plot, it is evident that there is an upward trend in the data, which means…

a. Based on the scatterplot, is there a positive or negative association between height of athlete and length of jump? b. Based on the scatterplot, state why using a linear regression equation is justified to assess the relationship between height and length of jump. c. Which of the following (pick one only) could be a possible value of the correlation coefficient between distance and height? Explain in a sentence or two. Choices are: -1, -0.7, 0, 0.1, 0.7, 1.

a. Based on the scatterplot, is there a positive or negative association between height of athlete and length of jump? b. Based on the scatterplot, state why using a linear regression equation is justified to assess the relationship between height and length of jump. c. Which of the following (pick one only) could be a possible value of the correlation coefficient between distance and height? Explain in a sentence or two. Choices are: -1, -0.7, 0, 0.1, 0.7, 1.

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 1BGP

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Question

a. Based on the scatterplot, is there a positive or negative association between height of athlete and length of jump?

b. Based on the scatterplot, state why using a linear regression equation is justified to assess the relationship between height and length of jump.

c. Which of the following (pick one only) could be a possible value of the correlation coefficient
between distance and height? Explain in a sentence or two.
Choices are: -1, -0.7, 0, 0.1, 0.7, 1.

2. A high school track & field coach wanted to assess the relationship between an athletes height and
how far they can jump in the long jump event (both in inches). They collect data on each athletes
height and how far they can jump. Let the height in inches of the athlete be the explanatory variable
(X) and the distance in inches of the jump be the response (Y).
The scatterplot of the data based on 32 athletes is as follows:
distance
88
86
84
82
80
78
00
O
70
Scatter Plot
72
height
000
00 00
8
74
8
¥ 75
76
78

Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

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