# Question: For the high school female athletes data file regress the

For the high school female athletes data file, regress the maximum bench press on weight

and percent body fat.

a. Show that the F test is statistically significant at the 0.05 significance level.

b. Show that the P-values are both larger than 0.35 for testing the individual effects with t tests. (It seems like a contradiction when the F test tells us that at least one predictor has an effect but the t tests indicate that neither predictor has a significant effect. This can happen when the predictor variables are highly correlated, so a predictor has little impact when the other predictors are in the model. Such a condition is referred to as multicollinearity. In this example, the correlation is 0.871 between weight and percent body fat.)

and percent body fat.

a. Show that the F test is statistically significant at the 0.05 significance level.

b. Show that the P-values are both larger than 0.35 for testing the individual effects with t tests. (It seems like a contradiction when the F test tells us that at least one predictor has an effect but the t tests indicate that neither predictor has a significant effect. This can happen when the predictor variables are highly correlated, so a predictor has little impact when the other predictors are in the model. Such a condition is referred to as multicollinearity. In this example, the correlation is 0.871 between weight and percent body fat.)

**View Solution:**## Answer to relevant Questions

For binary response variables, one reason that logistic regression is usually preferred over straight-line regression is that a fixed change in x often has a smaller impact on a probability p when p is near 0 or near 1 than ...Suppose that the correlation between x1 and x2 equals 0. Then, for multiple regression with those predictors, it can be shown that the slope for x1 is the same as in bivariate regression when x1 is the only predictor. ...For the House Selling Prices OR data file on the text CD, the output shows the result of conducting an ANOVA comparing mean house selling prices (in $1000) by Age Category ( New = 0 to 24 years old, Medium = 25 to 50 years ...A bank conducts a survey in which it randomly samples 400 of its customers. The survey asks the customers which way they use the bank the most: (1) interacting with a teller at the bank, (2) using ATMs, or (3) using the ...Refer to the previous exercise. Let x1 = 1 for the advertisement and 0 otherwise, x2 = 1 for Muzak and 0 otherwise, and x1 = x2 = 0 for classical music. Likewise, let x3 = 1 for repeating in 10-minute cycles and x3 = 0 for ...Post your question