Table 8.1: Selected Excel output from a simple linear regression of levels of stress and average hours of cycling a week; n=80 ANOVA Significance df MS F F 1 330.0887 Regression Residual 330.0887 439.5926 8.61E-34 78 58.56994 0.750897 Total 79 388.6586 Standard Coefficients Error t Stat P-value <0.0001 Intercept Hours of cycling 8.174779154 0.201398 40.59015 (week) -0.151563181 0.007229 -20.9665 <0.0001 By looking at the output in Table 8.1, write down the equation of the fitted regression model, and explain the meaning of the regression coefficients in context. Comment on the statistical significance of the regression coefficients.
Table 8.1: Selected Excel output from a simple linear regression of levels of stress and average hours of cycling a week; n=80 ANOVA Significance df MS F F 1 330.0887 Regression Residual 330.0887 439.5926 8.61E-34 78 58.56994 0.750897 Total 79 388.6586 Standard Coefficients Error t Stat P-value <0.0001 Intercept Hours of cycling 8.174779154 0.201398 40.59015 (week) -0.151563181 0.007229 -20.9665 <0.0001 By looking at the output in Table 8.1, write down the equation of the fitted regression model, and explain the meaning of the regression coefficients in context. Comment on the statistical significance of the regression coefficients.
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Related questions
Question

Transcribed Image Text:Table 8.1: Selected Excel output from a simple linear regression of levels of stress and average hours
of cycling a week; n=80
ANOVA
Significance
df
MS
F
F
Regression
1 330.0887 330.0887 439.5926
8.61E-34
Residual
78 58.56994 0.750897
Total
79 388.6586
Standard
Coefficients
Error
t Stat
P-value
Intercept
Hours of cycling
8.174779154 0.201398 40.59015
<0.0001
(week)
-0.151563181 0.007229 -20.9665
<0.0001
By looking at the output in Table 8.1, write down the equation of the fitted regression model, and
explain the meaning of the regression coefficients in context. Comment on the statistical significance
of the regression coefficients.

Transcribed Image Text:State the alternative name for R?. Calculate the R? for the regression fit shown in Table 8.1 (of
Question 8). Round your answer to 2dp. Show your calculations and any formulas used. Fully
interpret your answer in context and hence comment on the goodness of fit of this regression model.
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