For males (that is, Gender=1), as weight increases one unit, the predicted/estimated average resting heart rate changes by_ units. Round to 5 decimal places, X.XXXXX, and provide correct sign (+/-). If answer is negative, then would input -X.XXXXX Enter your answer here Do we have enough information in the R output above to test if the coefficients for Wgt and Gender*Wgt are both zero at the same time? No Yes

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Question 1:
Below is the R output of a model where the response is resting heart rate (Rest) and the
predictors are Weight (Wgt, in pounds) and Gender (0 for female and 1 for male), with an
interaction term between Weight and Gender.
Our population model is: Rest; = Bo + BiW gt; + B2Gender; + B3W gt;Gender; + e
Im (formula
Rest
Wgt + Gender + Wgt Gender)
!!
Coefficients:
Estimate Std. Error t value Pr (>It|)
(Intercept) 70.25970
5.67488 12.381
<2e-16 ***
Wgt
-0.01948
0.03138 -0.621
0.535
Gender
16.19178
9.97017
1.624
0.106
Wgt:Gender -0.10178
0.06803 -1.496
0.136
Residual standard error: 9.78 on 228 degrees of freedom
Multiple R-squared: 0.04625, Adjusted R-squared: 0.0337
F-statistic: 3.685 on 3 and 228 DF, p-value: 0.01274
Transcribed Image Text:Question 1: Below is the R output of a model where the response is resting heart rate (Rest) and the predictors are Weight (Wgt, in pounds) and Gender (0 for female and 1 for male), with an interaction term between Weight and Gender. Our population model is: Rest; = Bo + BiW gt; + B2Gender; + B3W gt;Gender; + e Im (formula Rest Wgt + Gender + Wgt Gender) !! Coefficients: Estimate Std. Error t value Pr (>It|) (Intercept) 70.25970 5.67488 12.381 <2e-16 *** Wgt -0.01948 0.03138 -0.621 0.535 Gender 16.19178 9.97017 1.624 0.106 Wgt:Gender -0.10178 0.06803 -1.496 0.136 Residual standard error: 9.78 on 228 degrees of freedom Multiple R-squared: 0.04625, Adjusted R-squared: 0.0337 F-statistic: 3.685 on 3 and 228 DF, p-value: 0.01274
For males (that is, Gender=1), as weight increases one unit, the predicted/estimated average
resting heart rate changes by.
units. Round to 5 decimal places, X.XXXXX, and provide
correct sign (+/-). If answer is negative, then would input -X.XXXXX
Enter your answer here
Do we have enough information in the R output above to test if the coefficients for Wgt and
Gender*Wgt are both zero at the same time?
No
Yes
Transcribed Image Text:For males (that is, Gender=1), as weight increases one unit, the predicted/estimated average resting heart rate changes by. units. Round to 5 decimal places, X.XXXXX, and provide correct sign (+/-). If answer is negative, then would input -X.XXXXX Enter your answer here Do we have enough information in the R output above to test if the coefficients for Wgt and Gender*Wgt are both zero at the same time? No Yes
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