N=695 F= 27.2 (p<0.001), R2= 0.43 A researcher is interested in using the follow

Question

N=695 F= 27.2 (p<0.001), R2= 0.43

A researcher is interested in using the following independent (predictor) variables to predict if a group intervention reduces depreswsion in pre-operative surgical patients. The researcher selects critical alpha = 0.05 and operationally defines the variable as follows: Dependent variable; scale 1 to 10 ( normally distributed); 1 = no depression and 10= highest depression. Independent variables: Group; 0= control group and 1 = experimental group   Age; number of years Gender; 0= male and 1 = female   Smoking; 0= non-smoker       Marital Status; 0= unmarried and 1= married

Part 1. What conclusion cna be made on the basis of the provided data?   b. 43% of the variance in depression score can be explained by the independent varaible    a. 43% of the variance of the independent variable can be explained by the dependent variable. c. the regression model is not significant    d. the variance of the dependent variable is unrelatedto subject's age

coefficient Unstandardized Coefficient Standardized Coefficeint B Standard Error Beta t SIg Constant 8.364 .253 33.038 .000 Subject age -0.17 .007 -0.96 -2.568 .010 gender 113 146 .025 770 .442 smoking recorded -989. .262 -.133 -3.777 000 marital status .315 .167 .071 1.881 .060 group 3.051 .154 .690 19.853 000

Explanation / Answer

For given output ,

Here pvalue is less than alpha . So we reject the null hypothesis.

Answer is 43% of the variance in depression score can be explained by the independent variable.

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