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Suppose a random sample of 28 runners was measured on the number of minutes it took...

Suppose a random sample of 28 runners was measured on the number of minutes it took to run 1.5 miles, resting heart rate (centered at the mean of 54), and age (centered at the mean of 49). The following regression equation was obtained: runtime_hat = 10.82 + .05(restpulse -54) + .11(age-49). Conduct an F-test for model at the alpha = .05 significance level. Round answers to two decimal places.

Source SS df MS F
Regression 23.23
Residual 48.84
Total

What is the value of df regression?

What is the value of df residual?

What is the value of df total?

What is the value of MS regression?

What is the value of MS residual?

What is the value of the F-statistic?

What decision do you make about the null? Type “reject” or “fail to reject” for your answer.

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Answer #1
Source SS df MS F
regression 23.23 2 11.615 5.95
residual 48.84 25 1.9536
total 72.07 27

value of df regression =2

value of df residual =25

value of df total =27

value of MS regression =11.62

value of MS residual =1.95

value of the F-statistic =11.62/1.95 =5.95 (try 5.96 if this comes wrong)

reject

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