Question 3.

Is the Size variable significant for the model? Outline the test of significance below. State the hypotheses, test statistic, p-value and your conclusion. If the slope coefficient of the Size variable is significant, report a 95% confidence interval for the slope coefficient of the Size variable.

House Size Number Rooms 1 3070 7 2 2660 6 w N 3 2390 7 4 6 2240 1500 5 5 7 6 1440 7 7 3720 9 Selling Price $240,800 $215,200 $199,200 $182,400 $144,800 $126,400 $312,000 $185,600 $176,800 $162,400 $304,000 $256,000 $222,400 $159,200 $130,400 Age Attached Garage 23 Yes 23 Yes 20 Yes 9 No 17 No 8 No 31 Yes 15 Yes 8 No 20 Yes 15 Yes 18 Yes 17 Yes 18 No 17 No 8 00 2520 7 9 2160 7 10 2140 8 11 8 00 00 00 12 8 3000 3000 2700 2020 13 N 14 7 15 1200 6 House Size Number Rooms 1 3070 7 2 2660 6 w N 3 2390 7 4 6 2240 1500 5 5 7 6 1440 7 7 3720 9 Selling Price $240,800 $215,200 $199,200 $182,400 $144,800 $126,400 $312,000 $185,600 $176,800 $162,400 $304,000 $256,000 $222,400 $159,200 $130,400 Age Attached Garage 23 Yes 23 Yes 20 Yes 9 No 17 No 8 No 31 Yes 15 Yes 8 No 20 Yes 15 Yes 18 Yes 17 Yes 18 No 17 No 8 00 2520 7 9 2160 7 10 2140 8 11 8 00 00 00 12 8 3000 3000 2700 2020 13 N 14 7 15 1200 6