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 ErrorT P Constant 40977.1 8788.81 4.66 0.0000 5479.36 2643.95 1.07 0.2409 54225.1 12988.7 4.17 0.0001 -8708.14 3934.83 -2.21 0.0293 Agree Gender x1x2 6.047E+07 0.7626 Mean Square Error (MSE) R' 7700.00 Standard Deviation Adjusted R' 0.7552 il FS F3 4

Explanation / Answer

Result:

A plot of the stem and leaf display of residuals indicating extreme skewness.

The residuals are supposed to be uncorrelated, normally distributed, having a zero mean and constant variance. If the Residuals indicating extreme skewness, this shows that the data are not normally distributed. To improve the model, we have to make appropriate transformation to the variable.

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