A study was conducted to determine it a person\'s agreeability (whether they are

Question

A study was conducted to determine it a person's agreeability (whether they are generally an agreeable person or not) affects their income level. It also looked at the person's gender to see if it was a factor as well. The variables are shown below: ncome: y annual income in dollars Agree: x1-agreeability level with higher scores indicating a person is more aggregable and lower scores indicating less agreeable Gender: x2- 1 if male, O if female Use the following information to answer the multiple regression questions. Printout A: Pairwise Correlations: Income Agree Agree 0.2785 1.0000 Gender 0.8327 -0.0478 Printout B: Best Subset Regression Models for Income Forced Independent Variables: (A)Agree (B)Gender (Cx1x2 Unforced Independent Variables: (D)x1sq (E)x1sqx2 Adjusted AICC . F P Variables PCpRSquare Min Aicc Resid SS ??? 4 4.6 0.7552 1798.32 5.805E+09 F3

Explanation / Answer

From the results on printout B above lead us to conclude that there is sufficient evidence of curvature relating income to agreement score.

Because of

Test of hypothesis for the model is,

H0: The model is insignificant.

against,

H1: The model is significant.

Test Statistics:

F-test is useful to check goodness of fit of the model.

the p-values for each model given in model.

# Decision Rule:
If the p-value is greater than the level of significance(0.05) then we accept the null hypothesis otherwise reject the null hypothesis.

From the above results in table the p-values for first three model is greater than 0.05 so first three model is insignificant.

The p-value of model variable ABCDE is 0.0356 < 0.05

so we reject the null hypothesis.

so model ABCDE is significant

and in model ABCDE model measure the interaction effects.

so, there is sufficient evidence of curvature relating income to agreement score.

>>>>>>>>>>>>>>> Best Luck >>>>>>>>>>>>>>>>>

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