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Calculate a 99% prediction interval for the average GPA of male candidates with a score of 110 on the IQ test and 60 on the

Calculate a 99% prediction interval for the average GPA of male candidates with a score of 110 on the IQ test and 60 on the SE test. (Hint: ( ) () 2 + ) (CALCULATE MANUALLY)

= 0.198 & MSE given in Regression output

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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