A. This home has two bathrooms, a total area of 2400 square feet, a lot size of 0.8 acres, central cooling, three bedrooms and a heat pump. What are the predicted prices for this house [in dollars] using model 1, model 2 and model 3? {i.e., predict three different prices using each model one at a time) [1] gm 2 244.62 + 551.7301? [2] przce 69. 271 + 46. 772bath +.106area + 330. 7510: + 8835519001019 12. 403bed + 39. 522heat_pump [3] {71% = 86.52 + 44.856017: + 0.10area + 331.29Iot + 90.98cooiing B. What is the 95% confidence interval for the average value of a house with the features given in thisl problem using model 3 [assume Distance Value = .0673]? (him: you already calculated the center of this confidence interval using model 3 in part a) Regression 5101mm: M ult'ple R 0774416679 R Square 0.599721193 Adjusted R Square 0.5325049 Standard Error 145.6706933 Observations 93 ANCNA df 35 4.45 F Significant F Rwion 4 2956746703 739136. $69 34.33451402 9.34467E13 Rsizlual 93 1973455433 2121995039 Total 97 4930202141 Coefficients Standard Error I Stat F-wrue Lower 95% Harper 95% Lower 95.0% Harper 95.0% Intercept 3652 53.61 1.43 0.14 -202.90 29.36 -202.90 29.36 bath 44.35 21.99 2.04 0.04 1.13 3351 1.13 33.51 area 0.10 0.02 4.42 01]] 0.05 0.14 0.05 0.14 lot 331.29 74.13 4.47 0.00 133.93 473.61 133.93 473.61 CentraLcooli'lg 90.93 30.16 3.02 01]] 31.09 150.37 31.09 150.37