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

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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 2643.951.07 0.2409 54225,1 12988.7 4.17 0,0001 -8708.14 3934.83 2.21 0.0293 R' 0.7626 Mean Square Error (MSE) 6.047?-07 Adjusted R 0.7552 Standard Deviation 7700.00 DF SS MS Source Regression Residual Total 3 1 96 5.805E+09 6.047E+07 99 2446E+10 .865E+10 6.217E+09 102.50 0.0000 Suppose we consider Printout C to be the printout we should use after the quadratics test (May or may not be accurate. Please don't change your answer to the last question). What type of test should be used to determine If an interaction exists between the agreement and gender variables? O A Global F-test o A t-test A Partial F-test (called a Best Subset test in Statistix)

Explanation / Answer

anwer : Partial F-test

we can use a partial F-test to determine if we need to bother with any interactions at all. The partial F-test simultaneously tests whether any of the coefficients of the two-factor interactions are different from zero.

A global f test = (t-test)^2

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