# Regression Analysis: Credit Balance Versus Income, Size, Years (Coursework Sample)

regression analysis

source..Regression and Correlation Analysis

Regression Analysis: Credit balance versus Income, Size, Years

Analysis of Variance

Source DF Adj SS Adj MS F-Value P-Value

Regression 3 36973471 12324490 61.17 0.000

Income 1 9381778 9381778 46.57 0.000

Size 1 16682665 16682665 82.80 0.000

Years 1 216131 216131 1.07 0.305

Error 51 10275009 201471

Total 54 47248480

Model Summary

S R-sq R-sq(adj) R-sq(pred)

448.855 78.25% 76.97% 74.60%

Coefficients

Term Coef SE Coef T-Value P-Value VIF

Constant 1394 270 5.16 0.000

Income 29.53 4.33 6.82 0.000 1.14

Size 315.6 34.7 9.10 0.000 1.11

Years 13.0 12.6 1.04 0.305 1.07

Regression Equation

Credit balance = 1394 + 29.53 Income + 315.6 Size + 13.0 Years

Above are the regression analysis results

1 Perform the Global Test for Utility (F-Test). Explain your conclusion.

The global test is usually used to test all β's within a model. This is usually performed through F-test. In this f-test, the hypothesis to be tested will be;

H0: β1=β2=β3= 0

Ha: at least one βj ≠ 0

Decision: reject H0 if p-value<0.05

From the regression analysis results, the F-statistic=6

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