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 Constant Agree Gender x1x2 40977.1 8788.81 4.66 0.0000 5479.36 2643.95 107 0.2409 54225.1 12988.7 4.17 0.0001 -8708.14 3934.83 -2.21 00293 R' 0.7626 Mean Square Error (MSE) 6.047E+07 Adjusted R 0.7552 Standard Deviation 7700.00 Source DF SS MS Regression3 3 1.865E+10 6.217E+09 102.50 .0000 96 5.805E+09 6.047E+07 99 2.446E+10 Total 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? o Create a 95% confidence interval for E(y) when x1-5.0 and x2-0 O Perform a global-F test for the full model. O Interpret the R value in the model and apply it to that person. Create a 95% prediction interval for Y when x1-5.0 and x2-0

Explanation / Answer

After observing the given information, Researcher proceed to create a 95% confidence interval for E(y) when x1=5.0 and x2=0.

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