ConnieHarris,inchargeofofficesuppliesatFirstCapitalMortgageCorp.,wouldliketopredict thequantityofpaperused in the office photocopying machines per month.She believes that the number of loans originated in a monthinfluencethevolumeofphotocopyingperformed. loans originatedShehascompiledthefollowingrecentmonthlydata:

Number ofLoansOriginatedinMonth	Sheets of Photocopy PaperUsed(1000's)
45	22
25	13
50	24
60	25
40	21
25	16
35	18
40	25

1. Developtheleast-squaresestimatedregressionequation thatrelates sheetsofphotocopypaperusedtoloansoriginated.
2. Usetheregressionequationdevelopedinpart(a)toforecast theamountofpaperusedinamonthwhen42loanoriginationsareexpected.
3. ComputeSSE,SST,andSSR.
4. Computethecoefficientofdeterminationr². Commentonthegoodnessoffit.
5. Computethecorrelationcoefficient.
6. Computethe residualstandarderror().
7. Computetheestimatedstandarddeviationof.
8. Usethettesttotestthefollowinghypothesis₁=0at=0.05.
9. Developa95%confidenceintervalestimatefor₁.

Refertothe confidence interval. Wouldyourejectornotreject₀:₁=0.30at=0.05.Explain