A final model using the Annual Salary_New variable as the response variable and
ID: 3217514 • Letter: A
Question
A final model using the Annual Salary_New variable as the response variable and including only the significant predictors is provided after e and f.
Question:
e. Test the overall significance of the final model (99% confidence level) and comment (show your calculations);
f. Perform a hypothesis test for the coefficient of the Age variable at the 99% confidence level (show your calculations);
The regression equation is
Annual Salary_New = 37406 + 6764 Province + 7968 Gender + 9722 Education + 22711 Sector + 11752 Retail Trades + 32923 Finance + 10229 Education & Training + 16745 Health & Social + 18854 Government
527 cases used, 3 cases contain missing values
Predictor Coef SE Coef T P
Constant 37406 3749 9.98 0.000
Province 6764 2434 2.78 0.006
Gender 7968 2452 3.25 0.001
Education 9722 2725 3.57 0.000
Sector 22711 4733 4.80 0.000
Retail Trades 11752 4028 2.92 0.004
Finance 32923 4412 7.46 0.000
Education & Training 10229 6220 1.64 0.101
Health & Social 16745 4750 3.53 0.000
Government 18854 6376 2.96 0.003
S = 26963.3 R-Sq = 31.0% R-Sq(adj) = 29.8%
Analysis of Variance
Source DF SS MS F P
Regression 9 1.69051E+11 18783437910 25.84 0.000
Residual Error 517 3.75868E+11 727016852
Total 526 5.44919E+11
Source DF Seq SS
Province 1 5678392052
Gender 1 10087328366
Education 1 63502388826
Sector 1 43570591828
Retail Trades 1 2098921535
Finance 1 32775431183
Education & Training 1 1633339731
Health & Social 1 3348196548
Government 1 6356351117
Normal Probability Plot of the Residuals (response is Annual Salary New) 99.99 99 95 50 20 0.01 100000 50000 50000 Residual 100000Explanation / Answer
Answer e
The overall signficance is tested using F test. It can be observed that the model (F (9, 517) = 25.84, p-value < 0.001) is signficant.
Answer f
Here age is not considered as a predictor, yjus nothing can be said about its significance.
Thanks.
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