Question

HW7 (2) e Search References Mailings Review View Help Aa A 211 AaBbceDe AaBbceDe AaBb C AaBbccc AaB AaBb Ccc ABLE 1 Normal 1 No Spac Heading 1 Heading 2 Title Subtitle Subtle 2. Regress number of close friends on female (ie, predict number of close friends using the measure of whether the respondent is female). a. Show the EXCEL or SPSS output of this regression. SUMMARY OUTPUT Regression Statistics Multiple R 0.235405 R Square 0.055415 Adjusted R 0.051607 Standard E 4.260074 Observatic 250 ANOVA Regressior Residual Total df SS MSF ignificance F 1 264.0431 264.0431 14.54925 0.000172 248 4500.761 18.14823 249 4764.804 Coefficientsandard Ent Stat P-value Lower 95%Upper 95%ower 95.0%pper 95.0% Intercept 8.984615 0.373633 24.04662 9.37E-67 8.248717 9.720514 8.248717 9.720514 female 2.057051 0.539293 3.814348 0.000172 0.994873 3.11923 0.994873 3.11923 b. What is the predicted difference in number of close friends when respondent is female instead of male? c. Is the coefficient you described in b significantly different from 0? d. If the respondent were male, how many close friends would we expect the respondent to have? e. What proportion of the variance in close friends is explained by sex? 1. Does sex account for a significant proportion of the variance in number of close friends?

Answer 1

b) The predicted difference in number of close friends when respondent is female instead of male = 2.057051

c) Since P-value for coefficient of female = 0.000172

Since P-value < 0.05, so at 5% level of significance and we can conclude that the coefficient is significantly different from 0.

d) If the respondent were male, expected number of close friends = 8.984615

e) Given

coefficient of determination R² = 0.055415 = 5.5415%

5.5415% variation in close friends can be explained by sex.

f) No, sex only account for 5.5% variance in the number if close friends, so we can say regression model with sex predictor is not adequate.