2. Given the following datalist of the height and weight pairs: Height 68 69 70 70 71 71 72 72 73 73 74 75 Weight 151 146 150 160 170 160 163 180 170 175 178 188 a. Compute the linear correlation coefficient for the height and weight pairs anti interpret it. b. Compute the coefficient of determination and interpret it. . Find the least squares regression line and interpret the slope.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 5EQ
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2. Given the following datalist of the height and weight pairs:
Height 68 69 70 70 71 71 72 72 73 73 74 75
Weight 151 146 150 160 170 160 163 180 170 175 178 188
a. Compute the linear correlation coefficient for the height and weight pairs
and interpret it.
b. Compute the coefficient of determination and interpret it.
. Find the least squares regression line and interpret the slope.
s) d. Test, at the 2% level of significance, whether the variable x is useful for
predicting y based on the information in the height and weight data set.
Transcribed Image Text:2. Given the following datalist of the height and weight pairs: Height 68 69 70 70 71 71 72 72 73 73 74 75 Weight 151 146 150 160 170 160 163 180 170 175 178 188 a. Compute the linear correlation coefficient for the height and weight pairs and interpret it. b. Compute the coefficient of determination and interpret it. . Find the least squares regression line and interpret the slope. s) d. Test, at the 2% level of significance, whether the variable x is useful for predicting y based on the information in the height and weight data set.
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