The following regression is fitted using variables identified that could be related to student requestedloan amount, LOAN-AMT($) for returning students of a certain University. ????−??? = ? + ? ?????? + ? ???? + ? ????Where ACCEPT = the percentage of applicants that was accepted by the university, PREV = previous loan amount and OUTS =outstanding loan amountThe data was processed using MNITAB and the following is an extract of the output obtained:EXHIBIT 2Predictor Coef StDev T PConstant -26780 6115 * 0.000ACCEPT 116.00 37.17 3.14 0.003PREV -4.21 14.12 -0.30 **OUTS 70.85 15.77 4.49 0.000S = 2685 R-Sq = 69.6% R-Sq(adj) = 67.7%Analysis of VarianceSource DF SS MS F PRegression 3 808139371 269379790 37.37 0.00Residual Error 49 353193051 7208021Total 52 1161332421a)What is dependent and independent variables? b)Fully write out the regression equation c)What is the sample size used in this investigation? d)Fill in the blanks identified by ‘*’ and ‘**’. e)Is β significant, at the 5% level of significance?
The following regression is fitted using variables identified that could be related to student requested
loan amount, LOAN-AMT($) for returning students of a certain University. ????−??? = ? + ? ?????? + ? ???? + ? ????
Where ACCEPT = the percentage of applicants that was accepted by the university, PREV = previous loan amount and OUTS =outstanding loan amount
The data was processed using MNITAB and the following is an extract of the output obtained:
EXHIBIT 2
Predictor Coef StDev T P
Constant -26780 6115 * 0.000
ACCEPT 116.00 37.17 3.14 0.003
PREV -4.21 14.12 -0.30 **
OUTS 70.85 15.77 4.49 0.000
S = 2685 R-Sq = 69.6% R-Sq(adj) = 67.7%
Analysis of Variance
Source DF SS MS F P
Regression 3 808139371 269379790 37.37 0.00
Residual Error 49 353193051 7208021
Total 52 1161332421
a)
What is dependent and independent variables?
b)
Fully write out the regression equation
c)
What is the
d)
Fill in the blanks identified by ‘*’ and ‘**’.
e)
Is β significant, at the 5% level of significance?
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