1.Researchers are interested in examining whether height (in) can be predicted by the dichotomous variable gender (1 = male, 0 = female) and the continuous variables weight (lb), waist size (cm), and pulse rate (beats per minute). They gathered data from the U.S. Department of Health and Human Services, National Center for Health Statistics, Third National Health and Nutrition Examination Survey and generated the following results using SAS software. Again, they have come to you to help them interpret their output.

Dependent Variable: HEIGHT

Sum of

SourceDFSquaresMean SquareF ValuePr > F

Model4753.602200188.40055033.37<.0001

Error75423.4398005.645864

Corrected Total791177.042000

R-SquareCoeff VarRoot MSEHT Mean

0.6402513.6130202.37610365.76500

SourceDFType III SSMean Square F Value Pr > F

GENDER1176.2981812176.298181231.23 <.0001

WEIGHT1195.2405024195.240502434.58 <.0001

WAIST1109.4066805109.406680519.38 <.0001

PULSE10.39311570.39311570.070.7926

Standard

ParameterEstimateError t Value Pr > |t|

Intercept64.398547572.5208374325.55<.0001

GENDER3.468082090.620626995.59<.0001

WEIGHT0.117836080.020038195.88<.0001

WAIST-0.222181350.05047204-4.40<.0001

PULSE0.006016990.022802600.260.7926

a.What type of analysis is this?

b.What are the omnibus (overall) null and alternative hypotheses?

c.What is the value of the overall test statistic and the corresponding p-value?

d.Based on your answer for (c), what conclusion should you make regarding the overall null hypothesis and what should be your next step?

e.What are the partial null and alternative hypotheses? Write them out.

f.What are the values of the test statistics and corresponding p-values for the partial tests?

g.Based on your answers for (f), what conclusions should you make regarding the partial null hypotheses?

h.Write out the estimated equation.

i.What is the best predicted height of a male with a weight of 150 lb, a waist size of 80 cm, and a pulse rate of 75 beats per minute?

j.What is the best predicted height of a female with a weight of 150 lb, a waist size of 80 cm, and a pulse rate of 75 beats per minute?