The following is a regression of home prices (y) on family income (x) for 18 American cities ...

  

The following is a regression of home prices (y) on family income (x) for 18 American cities.
Summary output
Regression statistics
multiple R 0.906983
R Square ?
Adjusted .811533
R Square
Standard error 11.22878
observations 18
Var X= 101.154
X-bar= 79.11111
Anova DF ss ms F significance
Regression 1 9355.7155 9355.716 ?
Residual 16 2017.3695 126.0856
Total 17 11373.085
Coefficients STD Error t stat pvalue lower 95% upper 95
Intercept -48.1104 21.5845933 -2.22892 .040505 -93.8677 -2.35308
Income 2.332505 ? ? 2.1 E-07 1.758477 2.906533
 

A) Write the least squares regression line
B) Fill in the ?
C) Test the hypothesis that housing price is unrelated to family income

D) Estimate the typical home price for a city with family income equal to 95,000 

E) Find a 95% prediction interval for the estimate of part d