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How do we complete a ANOVA table? We wish to model the salary (Y) of architects

ID: 3228086 • Letter: H

Question

How do we complete a ANOVA table?

We wish to model the salary (Y) of architects at a specific firm based on their years of experience (X1), and their years of schooling (X2). We took a sample of size n = 50.

Q 8) We wish to model the salary (Y) of architects at a specific firm based on their years of experience (X1), and their years of schooling (X2). We took a sample of size n = 50. 8. Complete the ANOVA table for the first order model, Y = 0 + 1X1 + 2X2 + . Round answers to 2 decimal places where necessary.

In my notes I have the green values to be correct but no clue how to get them?

Df DSS MS F Source 124 6e 86.42 Regression 2 47 360 .66 Error 1684 Total

Explanation / Answer

Total Df = N - 1

Here,

Number of observations (N) = 50

So,

Total Df = 50 - 1 = 49

Error Df = Total Df - Regression Df = 49 - 2 = 47

SS (Regression) = SS (Total) - SS (Error)

So,

SS (Regression) = 1684 - 330 = 1324

MS (Regression) = SS (Regression) / (Regression Df) = 1324 / 2 = 662

MS (Error) = SS (Error) / (Error Df) = 360 / 47 = 7.66

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