A study was conducted to determine if a person’s agreeability (whether they are

Question

A study was conducted to determine if 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:

Income:    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, 0 if female

Use the following information to answer the multiple regression questions.

Printout C: Least Squares Linear Regression of Income

Predictor

Variables Coefficient Std Error T P  

Constant 40977.1    8788.81 4.66 0.0000  

Agree -5479.36    2643.95 -1.07 0.2409  

Gender 54225.1    12988.7 4.17 0.0001  

x1x2 -8708.14    3934.83 -2.21 0.0293  

R² 0.7626 Mean Square Error (MSE)              6.047E+07

Adjusted R²   0.7552 Standard Deviation 7700.00

Source DF          SS MS F P

Regression 3   1.865E+10    6.217E+09    102.50 0.0000

Residual 96   5.805E+09    6.047E+07

Total 99   2.446E+10

Suppose it was desired to estimate the average income for all females who have an agreeability score of 5.0. How should the researcher proceed?

Interpret the R2 value in the model and apply it to that person.

Interpret the R2 value in the model and apply it to that person.

Explanation / Answer

There is no need of calculating rsquare for prediction ..

F test is also not required

Yes this option is the right option for average we need to calculate /create 95 % confidence interval for E(Y) when x1=5.0 and dummy variable x2=0

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.