Question: Table B. 4 presents data for 27 houses sold in Erie, Pennsylvania. a. Fit a simple linear regression model relating selling price of the house

Table B. 4 presents data for 27 houses sold in Erie, Pennsylvania.

y X 2 X3 X4 X5 X6 x7 X9 25.9 4.9176 1.0

a. Fit a simple linear regression model relating selling price of the house to the current taxes $\left(x_{1}\right)$.

b. Test for significance of regression.

c. What percent of the total variability in selling price is explained by this model?

d. Find a $95 %$ CI on $\beta_{1}$.

e. Find a $95 %$ CI on the mean selling price of a house for which the current taxes are $\$ 750$.

y X 2 X3 X4 X5 X6 x7 X9 25.9 4.9176 1.0 3.4720 0.9980 1.0 7 29.5 5.0208 1.0 3.5310 1.5000 2.0 7 27.9 4.5429 1.0 2.2750 1.1750 1.0 6 25.9 4.5573 1.0 4.0500 1.2320 1.0 6 29.9 5.0597 1.0 4.4550 1.1210 1.0 6 + 4 42 0 4 62 0 3 40 0 3 54 0 3 42 0 29.9 3.8910 1.0 4.4550 0.9880 1.0 6 3 56 0 30.9 5.8980 1.0 5.8500 1.2400 1.0 7 3 51 1 28.9 5.6039 1.0 9.5200 1.5010 0.0 6 3 32 0 35.9 5.8282 1.0 6.4350 1.2250 2.0 6 3 32 0 31.5 5.3003 1.0 4.9883 1.5520 1.0 6 3 30 0 31.0 6.2712 1.0 5.5200 0.9750 1.0 5 2 30 0 30.9 5.9592 1.0 6.6660 1.1210 2.0 6 3 32 0 30.0 5.0500 1.0 5.0000 1.0200 0.0 5 36.9 8.2464 1.5 5.1500 1.6640 2.0 8 41.9 6.6969 1.5 6.9020 1.4880 1.5 7 40.5 7.7841 1.5 71020 1.3760 1.0 6 43.9 9.0384 1.0 78000 1.5000 1.5 7 37.5 5.9894 1.0 5.5200 1.2560 2.0 6 37.9 7.5422 1.5 5.0000 1.6900 1.0 6 44.5 8.7951 1.5 9.8900 1.8200 2.0 8 37.9 6.0831 1.5 6.7265 1.6520 1.0 6 38.9 8.3607 1.5 9.1500 1.7770 2.0 36.9 8.1400 1.0 8.0000 1.5040 2.0 45.8 9.1416 1.5 7.3262 1.8310 1.5 8 7 8 ADI 2 46 1 4 50 0 3 22 1 3 17 0 3 23 0 3 40 1 3 22 0 4 50 1 3 44 0 4 48 1 3 3 0 4 31 0

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