Quiz 4 Solutions

Quiz 4 Solutions - DSC 203 Quiz 4 I 20 points i 9/28/11...

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Unformatted text preview: DSC 203 Quiz 4 I 20 points i 9/28/11 Name: k 6 3f ..__...__..__ A real estate agency collects data concerning y=sales price, x1=home size (in thousands of dollars) and x2=rating [1 to 10, 1(worst) and 10(best)]. The agency wishes to develop a regression model that can be used to predict the sales prices of future house it will list. Use the Minitab output below to answer the questions (2 points each). Predictor Coef SE Coef T P Constant 29.347 4.891 6.00 0.001 Home_Size 5.6128 0.2285 24.56 0.000 Rating 3.8344 0.4332 8.85 0.000 s = R~Sq = 99.0% R—Sq(adj) = 98.7% Analysis of Variance Source DF SS MS F P Regression 2 7374.0 3687.0 350.87 0.000 Residual Error 7 73.6 10.5 Total 9 7447.5 1. Write the estimated least squares regression equation. /é \/ 7— ?iéiifitr‘? t 51952'5?r‘<: “t” «3rgfit/l7zxap 2. Using a point estimate, predict the sales price of a house having 1800 square feet and a ratingon. A 3/ 2+ 26a 3%? F Sitoiwlif/if) i— aaawia) =2 @9593? if 0‘ MW} 3. Report the unexplained variation. What does this represent? (‘flfl‘i- Mimi): “7 fig d fifiarw n.1,»a‘ “a Writ-mg lei" figfl/Jfflég 35.725 grew as 5. State the hypotheses to test the significance of the linear regression model. [110 5 fl)! : p1 0 #5.; mt /€Q.;~:l*‘ are. flag, ,2! a 6. State the p—value for the test in (5) and your conclusion. are—vacaer 31‘ ‘33 flag} i _ . . The re. meme 6// Swag € {/6 fiéfl ce 433’ 3’5 (/éétjaicme of fine, More. as 03295“ “Er lgmjimmgl % i 7. interpret the coefficient for home size. i a?“ .. . Once Lou; mereeee 5} (were?) 3.. .t r. .. <. 3 AW.. ' f 5 g . fee-e mime” 1’” xi “fl/iii: mini/153i Congr‘lfim—fa 8. State the p—value to determine the significance of the coefficient on home size. State the hypotheses. r H fl 5 :- f i {:3 3:. \flflgj Thgrg 5e. GXf‘pgn/{ij fiffgoflfi Qr/(défflé’ “’féflfirf’ mfl’?§ gigsfi {c.33- liéfiarfiy r7175? 50.1.3352. rice. 9. Calculate a 90% confidence interval for the coefficient on ome size. log“: 9... ewe ‘94 s [Eerie Sb. == emit” all: ma— 5.2.1243: Ole-f» 0‘9; 7" 5W 5.91253 232" ‘2 /‘ 3%,; 51a; 2g : r. 52%”; :> (ewes. were} 10. Use the output below to predict the mean sales price for a home that has 2000 square feet and a rating of8. ' New Obs Fit SE Fit 95% CI 95% PI 1 11285.63 452.70 (10215.1?r 12356.09) (10215.15, 12356.12) / ’L $3,»? Wm WM be gigging/Ma md E/Qsfleme. ...
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This document was uploaded on 10/27/2011 for the course DSC 203 at Miami University.

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Quiz 4 Solutions - DSC 203 Quiz 4 I 20 points i 9/28/11...

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