Question

Suppose that a researcher wants to predict the weight of female college athletes based on their height and percent body fat. If a sample is taken and the following regression table is produced, interpret the slope of the percent body fat variable.

Predictor Constant height percent body fat Coef -1.309 3.547 1.064 Stdev 12.368 0.16 0.317 t-ratio -0.11 22.14 3.36 0.9175 4.241e-11 0.005663 s = 3.058 R-sq = 97.73% R-sq(adj) = 97.35% Analysis of Variance SS 6 MS 2411.6 9.35 257.93 SOURCE Regression Error Total 357.93 <0.0001 4823.19 112.2 4935.39

Question 8 options:

	1) When percent body fat increases by 1 percent, weight increases by 1.064 pounds, holding all other variables constant.
	2) When percent body fat decreases by 1 percent, weight increases by 1.064 pounds, holding all other variables constant.
	3) When percent body fat increases by 1 percent, weight decreases by 1.064 pounds, holding all other variables constant.
	4) We do not have enough information to say.
	5) When percent body fat increases by 1.064 percent, weight increases by 1 pound, holding all other variables constant.

Answer 1

Option-1) When percent body fat increases by 1 percent, weight increases by 1.064 pounds, holding all other variables constant.