A study was conducted on 64 female college athletes. The researcher collected da

Question

A study was conducted on 64 female college athletes. The researcher collected data on a number of variables including percent body fat, total body weight, height, and age of athlete. The researcher wondered if 96 body fat %BF height GT and/or age are significant predictors of total body weight. All conditions have been checked and are met and no transformations were needed. The technology output from the multiple regression analysis is given below. When testing Ho -0, where 1 is the coefficient for % body fat, what test statistic is used and how many degrees of freedom does that test statistic have? Click the icon to view the multiple regression analysis. Multiple Regression Analysis Choose the correct answer below 0 A. t-statistic with 62 degrees of freedom O B. F-statistic with 3 numerator and 60 denominator degrees of freedom ° C. t-statistic with 3 numerator and 60 denominator degrees of freedom 0 D. F-statistic with 60 degrees of freedom Predictor Constant %BF HGT AGE 0.001 0.000 0.000 0.960 0.6483.480.144 Coef SE Coef 28.79 1.3643 0.3126 3.4285 0.3679 -3.39 4.36 9.32 -97.69 E. t-statistic with 60 degrees of freedom S=10.1086 R-Sq =66.9% Analysis of Variance DF Source Regression Residual Error Total MS 3 12,407.94136.0 102.2 40.48 0.000 60 6131.0 Click to select your answer 63 18,539.0

Explanation / Answer

Ans:

For hypothesis testing of regression slope for multiple regression analysis,we use t-statistic with sample size minus the number of parameters being estimated as degrees of freedom.

As,n=64

number of parameters estiamted=4

degree of freedom=64-4=60

So,correct answer will be t-statistic with 60 degrees of freedom.

Option E is correct.

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