Question
Use the regression output to solve the following question: Calculate a 99% confidence interval for the average GPA of male candidates with a score of
Use the regression output to solve the following question:
Calculate a 99% confidence interval for the average GPA of male candidates with a score of 110 on the IQ test and 60 on the SE test. (Hint: ( ) = 0.198) (CALCULATE MANUALLY)
The solution to this problem is found by calculating , the beta values are given in the regression test results. (Hint)
= b0 + b1 * IQ + b2 * SE
Multiple linear regression results: Dependent Variable: gpa Independent Variable(s): iq, se, sex gpa = -3.6565961 + 0.08078878 iq + 0.050483144 se + -0.82220295 sex Parameter estimates:
Parameter | Estimate | Std. Err. | Alternative | DF | T-Stat | P-value |
---|---|---|---|---|---|---|
Intercept | -3.6565961 | 1.2630959 | 0 | 73 | -2.8949472 | 0.005 |
iq | 0.08078878 | 0.013364211 | 0 | 73 | 6.0451588 | <0.0001 |
se | 0.050483144 | 0.013961878 | 0 | 73 | 3.6157846 | 0.0005 |
sex | -0.82220295 | 0.31354697 | 0 | 73 | -2.6222641 | 0.0106 |
Analysis of variance table for multiple regression model:
Source | DF | SS | MS | F-stat | P-value |
---|---|---|---|---|---|
Model | 3 | 163.23368 | 54.411226 | 31.095712 | <0.0001 |
Error | 73 | 127.73528 | 1.7497984 | ||
Total | 76 | 290.96896 |
Summary of fit: Root MSE: 1.3227994 R-squared: 0.561 R-squared (adjusted): 0.543
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