18) Use the following information to calculate the regression equation that pred

Question

18) Use the following information to calculate the regression equation that predicts a taxpayer's charitable contributions in 2014 from his/her charitable contributions in 2013 (both in thousands of dollars). = 1.6 Avr. charitable 2013 Avr. charitable 2014 SD= 1.08 SD= 0.72 2.3 b) y.25x +1.5 d) y = .25x + .5 e) y.5x1.5 19) A computer fits the equation to house value data y = 120,000 52x1 + 32,000x2-40,000x3 y value (in dollars), xa-size (in square feet), xa 1 if the house ! s located in a nice section of town, and x1 if the house is located in a bad section of town. Suppose SSTotal=1486 and SSResidual=184. Find R3 a) 78.2% b) 82.5% c) 87.6% d) 90.0% e) 94.3%

Explanation / Answer

Ans:

18)

slope,b=r*sy/sx=0.75*0.72/1.08=0.5

y-intercept=2.3-0.5*1.6=1.5

So,regression equation is:

y=0.5x+1.5

Option e is correct.

19)

R^2=SSR/SST=1-(SSE/SST)=1-(184/1486)=0.876 or 87.6%

Option c is correct(87.6%)

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