D | Question 16 4 pts A study was conducted to determine if a person\'s agreeabi

Question

D | Question 16 4 pts 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 Gender: x2 1 if male, O if female more aggregable and lower scores indicating less agreeable 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 54225.1 12988.7 4.17 00001 -8708.14 3934.83 -2.21 0.0293 x1x2 6.047E+07 0.7626 Mean Square Error (MSE) 8 4

Explanation / Answer

Answer:

To within 76.26%

Explanation:

For given multiple regression model, the value of R square or coefficient of determination is given as 0.7626, which means about 76.26% of the variation in the dependent variable annual income in dollars is explained by the two independent variables ‘agree’ and ‘gender’. This means we would expect to predict the 76.26% of the amount of income level by using this regression model.

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