SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total 0.19 0.04 -0.24 10.60 10 of 2 7 9 SS 30.45 785.95 816.40 MS 15.22 112.28

SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total 0.19 0.04 -0.24 10.60 10 of 2 7 9 SS 30.45 785.95 816.40 MS 15.22 112.28

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 6SGR

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Question

A study was conducted to see whether heart rate (y) on swimmers linearly related to their

age (x1) and swimming time for 2000 meters (x2). A random sample of ten swimmers was

selected and the result is shown in the following Microsoft Excel output.

(a)Interpret the value of R2 from the output.

(b)Conduct a hypothesis test to test whether the linear regression model is fit or not using a = 0.05.

(c)Calculate the 95% confidence interval for the coefficient value for age.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R
Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Age
Swim Time
0.19
0.04
-0.24
10.60
10
off
2
7
9
Coefficients
226.15
-0.62
-2.03
SS
30.45
785.95
816.40
Standard
Error
176.92
1.56
4.68
MS
15.22
112.28
t Stat
1.28
-0.40
-0.43

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