The standard deviation of the residuals is s=5.9. Interpret the value in context.

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 29EQ
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The standard deviation of the residuals is s=5.9. Interpret the value in context.

A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scatterplot shows the height, in centimeters (cm), and the foot length, in cm, for each high
school senior from the sample. The least-squares regression line is shown. The computer output from the least-squares regression analysis is also shown.
190
180
170
160
150
18
20 22
24
26
28
30
32
34
Foot Length (cm)
Height (cm)
Transcribed Image Text:A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scatterplot shows the height, in centimeters (cm), and the foot length, in cm, for each high school senior from the sample. The least-squares regression line is shown. The computer output from the least-squares regression analysis is also shown. 190 180 170 160 150 18 20 22 24 26 28 30 32 34 Foot Length (cm) Height (cm)
Term
Coef
(SE) Coef
T-Value
P-Value
Constant
105.08
6.00
17.51
0.000
Foot length
2.599
0.238
10.92
0.000
S= 5.90181
R-sq = 65.42%
Transcribed Image Text:Term Coef (SE) Coef T-Value P-Value Constant 105.08 6.00 17.51 0.000 Foot length 2.599 0.238 10.92 0.000 S= 5.90181 R-sq = 65.42%
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