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1) Simple Regression Model: Develop three simple linear regression models using a 95% level of confidence to predict the selling price of a house based

1) Simple Regression Model: Develop three simple linear regression models using a 95% level of confidence to predict the selling price of a house based upon the following independent variables

A) Write the regression equation for each model.

i.Discuss the regression statistics used to compare the models, statistic values involved, and criteria used to select the preferred model

ii.Interpret the coefficient for the independent variable for the preferred regression model.

B)Using the preferred simple regression model, predict the selling price for a house with 2,500 square feet of living area, 3 bedrooms, and 1.5 bathrooms

2) Multiple Regression Models

A)Develop four multiple linear regression models using a 95% level of confidence to predict the selling price of a house based upon the following combinations of independent variables

i.Living areaand number of bedrooms. Write the regression equation for the model

ii. Living area and number of bathrooms.Write the regression equation for the model

iii.Number of bedrooms and number of bathrooms.Write the regression equation for the model

iv.Living area, number of bedrooms, and number of bathrooms. Write the regression equation for the model.

B)Compare the multiple regression models and select a preferred multiple regression model. Discuss the regression statistic(s) used to compare the models, statistic values involved, and criteria used to select the preferred model.

C)Interpret the coefficients for the independent variable for the preferred regression model.

D)Using the preferred multiple regression model, predict the selling price for a house with 2,500 square feet of living area, 3 bedrooms, and 1.5 bathrooms, as applicable

3)Comparing Simple and Multiple Regression Models

A) Compare the preferred simple regression model and preferred multiple regression model and select an overall preferred model, including discussing the regression statistics used to compare the models, statistic values involved, and criteria used to select the preferred model.

Selling Price Living Area (Sq Feet) No. Bedrooms No. Bathrooms
$150,075 1,117 2 1
$106,605 1,251 3 1.5
$217,350 2,324 4 1.5
$578,565 2,997 4 4
$225,630 1,385 3 1
$271,313 1,582 3 2.5
$129,375 1,326 3 1
$134,550 1,099 3 1
$163,013 1,646 3 1.5
$199,755 1,616 3 2.5
$284,625 1,685 4 2.5
$248,400 1,413 2 1.5
$207,141 1,583 3 2.5
$408,825 2,120 3 2.5
$379,538 2,053 3 2.5
$106,760 907 3 1
$320,850 3,246 6 2.5
$147,902 1,769 4 2.5
$372,362 2,514 3 3
$248,400 1,961 3 2.5
$243,225 1,530 3 2
$517,578 3,298 3 3
$248,400 1,691 3 2.5
$279,450 2,483 3 2.5
$232,875 1,356 3 2.5
$289,800 2,419 3 2.5
$232,875 2,141 4 2.5
$256,908 2,473 3 2.5
$284,625 1,757 2 2.5
$141,795 1,251 2 1
$155,250 1,136 2 2
$671,715 4,004 3 3.5
$201,825 1,761 3 2.5
$386,262 2,549 4 2.5
$175,381 1,216 3 2.5
$149,247 1,610 4 1.5
$196,547 1,794 3 1.5
$171,810 1,220 3 2
$165,600 1,182 3 2
$338,812 1,794 3 2.5
$255,645 2,039 3 2.5
$329,130 1,751 3 2.5
$352,935 1,623 2 1.5
$298,753 2,174 3 2.5
$162,495 1,365 3 1.5
$464,715 3,353 3 2.5
$146,970 1,676 3 1.5
$402,615 2,283 3 2.5
$492,660 2,178 3 2.5
$257,953 1,844 2 2.5
$144,797 1,142 3 1
$312,467 2,809 4 3.5
$439,875 2,383 3 3
$125,235 907 3 1
$155,250 905 2 1
$142,830 1,240 3 1
$206,897 1,831 3 2
$150,075 1,635 4 1.5
$481,275 2,240 2 3
$163,530 1,164 3 1.5
$388,125 1,885 3 2.5
$152,955 1,148 3 1
$350,865 1,940 3 2.5
$276,345 1,691 3 2.5
$300,150 1,571 3 2.5
$280,790 2,288 4 2.5
$287,875 2,163 3 2.5
$142,830 1,112 2 1.5
$380,363 2,138 3 2.5
$443,498 3,145 4 2.5
$144,900 1,388 3 1.5
$144,900 907 3 1
$150,075 1,326 3 1.5
$289,800 1,746 3 2.5
$197,064 1,862 3 1.5
$276,345 1,373 3 2
$170,672 597 2 1
$289,800 1,443 4 1.5
$232,875 1,280 3 1.5
$153,180 1,212 2 1.5
$170,775 1,247 3 1
$352,371 2,799 4 2.5
$137,655 1,240 3 1
$119,584 1,041 3 1
$248,400 1,264 3 1
$621,000 3,095 3 3.5
$74,003 1,024 3 1
$196,547 1,423 3 2.5
$336,375 1,550 3 1.5
$289,800 1,125 3 1.5
$263,925 997 2 1
$310,500 1,953 6 1
$109,710 1,257 3 1
$143,865 904 2 1
$170,775 1,251 3 1.5
$174,915 1,404 2 1.5
$164,979 1,326 3 1
$310,500 2,954 4 1.5
$166,635 1,233 3 1.5
$238,568 1,767 4 2.5
$227,700 1,531 4 1.5
$184,127 1,610 4 1.5
$362,250 2,378 3 2.5
$346,725 1,943 3 2
$618,086 4,083 4 3.5
$179,055 1,590 4 1.5
$536,130 2,761 3 1.5
$219,420 1,761 3 2
$155,147 1,967 4 2
$145,892 751 2 1
$98,325 1,326 2 1
$167,256 907 3 1.5
$363,699 1,629 2 2.5
$160,425 1,326 3 1
$205,448 1,286 3 1.5
$285,660 1,531 3 2
$172,845 1,247 3 1
$234,945 2,068 3 2.5
$419,279 1,940 3 2.5
$408,825 2,155 3 2.5
$372,600 2,561 4 2
$802,125 2,397 3 2.5
$294,975 1,868 2 3
$310,500 1,487 3 2.5
$221,490 1,445 3 1.5
$237,015 1,092 3 2
$341,550 1,391 3 1.5
$151,110 1,101 3 1.5
$394,853 2,097 3 2.5
$445,050 2,258 3 2.5
$672,750 2,671 3 2.5
$201,308 1,458 4 1.5
$288,765 2,398 4 3.5
$189,405 2,009 4 2.5
$201,825 1,435 3 2.5
$486,450 2,033 3 2.5
$172,845 1,018 2 1
$320,103 1,600 2 2.5
$225,113 1,548 3 1.5
$207,000 949 3 2
$206,995 1,351 2 1.5
$185,265 838 2 1
$340,515 2,661 4 2.5
$388,022 2,231 3 3
$170,775 1,563 3 1
$669,645 2,560 4 2.5
$326,025 751 1 1
$215,280 2,395 4 2.5
$419,175 3,030 4 3
$553,725 3,156 4 2.5
$190,461 1,497 3 2.5
$98,325 1,367 6 1.5
$90,614 878 2 1
$135,585 1,466 3 1
$131,445 1,195 3 1
$108,359 893 2 1
$124,200 1,248 3 1
$288,248 2,522 4 3
$78,143 1,262 3 2
$126,167 1,109 3 1
$215,280 1,651 3 2
$156,285 1,506 3 2
$142,830 1,008 2 1
$237,015 2,060 4 3
$134,550 1,303 3 2
$93,047 857 2 1
$150,075 1,757 3 1.5
$89,010 853 3 1
$98,325 1,218 3 2
$201,825 1,771 3 2.5
$111,081 1,099 3 1.5
$135,585 1,858 4 2.5
$172,742 1,233 3 1.5
$131,445 931 3 1
$123,165 1,117 2 1.5
$95,747 814 2 1
$180,090 2,042 5 2
$186,300 1,583 3 2
$160,425 1,059 3 2
$151,628 1,584 3 1.5
$168,188 1,833 3 2.5
$217,350 2,157 5 2.5
$170,775 1,430 3 2
$127,305 1,435 3 1.5
$155,250 1,326 3 1
$133,412 1,164 3 1
$91,184 814 2 1
$181,125 1,140 3 2
$125,209 1,338 3 2
$152,707 1,732 3 2.5
$122,130 1,435 3 1.5
$205,965 1,526 3 1.5
$82,697 921 2 1.5
$288,765 3,082 4 3.5
$93,150 1,301 3 1.5
$95,117 1,295 2 1.5
$158,355 1,495 3 2.5
$175,950 2,203 4 3.5
$150,282 1,435 2 2.5
$306,360 2,430 4 2.5
$155,250 1,796 4 2
$89,010 1,023 2 1
$122,130 1,350 3 1.5
$160,425 1,559 3 2
$230,288 1,517 3 2
$258,750 2,005 4 2.5
$377,775 2,440 4 2.5
$124,200 1,633 4 1.5
$199,755 1,436 3 1.5
$88,563 969 3 1
$84,870 869 2 1
$232,875 768 2 1
$248,400 2,664 4 3.5
$243,122 2,208 4 2.5
$115,920 1,242 2 2.5
$270,135 2,388 4 2.5
$414,000 2,810 4 2.5
$320,850 2,591 4 3.5
$188,370 1,874 3 1.5
$194,063 1,280 3 2.5
$419,175 3,197 4 2.5
$434,700 3,180 4 3
$371,565 3,107 4 2.5
$124,200 1,180 2 2.5
$177,503 1,728 3 1.5
$165,497 1,144 2 1.5
$193,028 1,408 3 2
$269,100 2,075 4 2.5
$119,025 1,182 2 1.5
$197,685 1,472 4 1.5
$367,906 3,228 4 2.5
$351,797 2,273 3 2.5
$93,150 931 2 1
$253,575 1,497 3 2.5
$332,132 2,786 4 2.5
$164,565 1,144 2 1.5
$181,022 1,326 3 1.5
$303,773 1,846 4 2.5
$217,350 1,280 3 2
$188,888 1,546 3 1.5
$227,597 1,791 3 2.5
$382,950 3,031 4 2.5
$296,010 1,943 4 2.5
$175,847 1,574 3 1.5
$166,635 1,086 3 1
$297,045 2,292 5 2.5
$326,025 2,494 4 2.5
$183,195 1,501 3 1.5
$343,620 2,651 3 2.5
$257,715 1,418 3 2
$185,265 1,511 2 2.5
$155,250 1,614 3 1.5
$232,875 1,820 4 3
$188,370 1,782 3 1
$341,447 2,296 4 2.5
$170,775 2,040 5 1.5
$186,300 1,144 2 1.5
$332,235 2,327 4 2.5
$186,300 1,195 2 1.5
$184,230 1,144 2 1.5
$289,697 1,961 4 2.5
$185,265 1,323 2 1.5
$189,405 1,302 2 2.5
$517,500 1,447 3 1
$175,950 969 3 1
$185,265 2,038 3 2.5
$191,372 1,606 3 1.5
$183,713 1,514 3 1.5
$116,438 958 2 2
$186,300 1,712 5 2
$10,661 884 2 1.5
$142,727 1,544 3 1.5
$149,040 1,303 5 1
$136,206 1,343 2 1.5
$127,823 1,343 2 1.5
$127,305 1,628 2 1.5
$112,815 880 2 1
$179,055 1,481 2 2
$108,675 884 2 1.5
$126,788 1,148 2 1.5
$197,685 1,667 3 1.5
$154,215 1,047 2 1
$212,175 2,054 4 2
$232,875 2,451 3 1.5
$217,350 1,544 3 1.5
$195,512 1,255 3 1
$198,720 1,914 4 2.5
$142,313 958 2 2
$207,000 1,462 3 2
$130,410 880 2 1
$222,008 1,852 4 2
$157,320 884 2 1.5
$119,025 884 2 1.5
$91,080 958 2 2
$175,950 1,695 2 2
$141,795 884 2 1.5
$150,075 1,343 3 1.5
$209,070 1,261 3 1.5
$134,550 880 2 1
$274,275 1,843 3 2
$191,475 2,125 3 2.5
$134,550 1,047 2 1
$196,650 1,261 3 1.5
$211,140 2,384 4 2.5
$129,375 1,008 3 1
$362,147 2,799 4 3
$146,970 1,784 3 1
$137,138 1,928 2 1
$227,700 651 2 1
$165,600 1,466 2 2
$10,661 884 2 1.5
$98,325 884 2 1.5
$126,327 1,343 2 1.5
$154,215 1,462 3 1.5
$119,025 1,343 2 1.5
$144,900 1,579 3 2.5
$142,727 1,544 3 1.5
$149,040 1,303 5 1
$136,206 1,343 2 1.5
$127,823 1,343 2 1.5
$127,305 1,628 2 1.5
$112,815 880 2 1
$179,055 1,481 2 2
$108,675 884 2 1.5
$126,788 1,148 2 1.5
$197,685 1,667 3 1.5
$154,215 1,047 2 1
$212,175 2,054 4 2
$232,875 2,451 3 1.5
$217,350 1,544 3 1.5
$195,512 1,255 3 1
$198,720 1,914 4 2.5
$142,313 958 2 2
$207,000 1,462 3 2
$130,410 880 2 1
$222,008 1,852 4 2
$157,320 884 2 1.5
$119,025 884 2 1.5
$91,080 958 2 2
$175,950 1,695 2 2
$141,795 884 2 1.5
$150,075 1,343 3 1.5
$209,070 1,261 3 1.5
$134,550 880 2 1
$274,275 1,843 3 2
$191,475 2,125 3 2.5
$134,550 1,047 2 1
$196,650 1,261 3 1.5
$211,140 2,384 4 2.5
$129,375 1,008 3 1
$362,147 2,799 4 3
$146,970 1,784 3 1
$137,138 1,928 2 1
$227,700 651 2 1
$165,600 1,466 2 2
$162,392 1,585 4 1.5
$142,830 1,621 4 1.5
$171,810 1,835 3 2
$201,825 1,602 3 2
$305,946 2,437 4 2.5
$476,100 3,235 4 3.5
$130,410 1,262 2 1.5
$228,011 1,945 3 2
$181,125 1,780 4 1.5
$263,925 1,934 3 2
$191,475 1,602 3 2
$242,190 1,831 3 2.5
$138,173 1,435 3 1.5
$156,285 1,196 2 2
$163,013 1,724 3 1.5
$294,975 2,438 5 2.5
$225,113 2,619 4 2.5
$310,500 2,260 4 3.5
$166,868 2,595 4 2.5
$224,595 2,114 4 2
$258,750 2,215 4 2.5
$128,340 1,274 2 1.5
$256,680 2,324 4 2.5
$193,545 2,025 4 2
$201,825 2,240 5 2.5
$248,297 1,978 4 2.5
$491,625 2,521 3 2.5
$254,610 1,650 3 1.5
$227,597 2,061 4 2.5
$200,273 2,240 4 2.5
$126,270 1,388 3 1.5
$122,130 896 2 1
$129,375 1,745 3 1
$104,535 946 3 2
$257,715 2,150 4 2.5
$186,300 1,909 4 1
$302,738 2,304 3 2.5
$206,483 1,537 3 1.5
$212,279 1,409 4 2
$341,550 2,883 4 3
$185,265 1,563 3 1.5
$353,970 2,651 3 2.5
$150,075 1,434 3 1.5
$68,310 916 2 1
$279,347 1,879 4 2.5
$159,390 1,323 5 1
$470,822 3,144 4 2.5
$258,647 1,523 3 2
$170,775 1,274 2 1.5
$340,515 2,340 4 1.5
$51,116 873 2 1
$460,575 3,062 4 3.5
$75,555 880 2 1
$129,375 896 2 1
$151,628 1,103 2 1
$216,315 2,240 5 2.5
$203,378 1,817 4 2
$162,495 1,191 4 1.5
$129,893 1,434 3 1.5
$196,650 1,563 3 1.5
$258,750 2,025 4 2.5
$263,925 2,067 4 2.5
$134,240 896 2 1
$67,275 1,641 4 1.5
$110,745 1,520 3 1
$263,925 2,194 4 2.5
$411,930 2,871 4 2.5
$182,160 1,632 4 2.5
$258,647 2,599 5 3.5
$253,472 2,659 3 3
$227,700 1,951 4 2.5
$249,435 2,620 5 1.5
$165,497 1,274 2 1.5
$183,769 1,621 3 1.5
$98,325 1,164 2 1
$5,175 1,649 3 2.5
$274,172 2,572 5 3.5
$326,025 2,970 4 2.5
$160,425 1,251 2 1.5
$134,550 981 3 2
$246,330 2,240 4 2.5
$231,840 1,965 3 2.5
$218,385 1,361 3 1
$288,765 1,728 3 1
$250,470 1,941 3 2.5
$206,871 1,728 4 1.5
$268,997 2,145 4 2.5
$207,000 1,815 4 1
$219,420 1,749 4 2.5
$238,050 1,852 3 2.5
$195,615 1,583 3 1.5
$324,612 3,709 3 4
$191,475 1,160 3 1.5
$248,297 2,191 4 2.5
$209,070 1,639 3 2
$160,425 1,190 2 2
$124,200 1,239 3 1
$80,730 647 1 1
$321,885 2,679 4 2.5
$204,930 1,511 3 1
$164,048 1,311 3 2
$234,945 1,862 5 2.5
$275,207 1,881 3 2.5
$168,705 1,211 3 1.5
$170,775 1,528 3 2.5
$156,285 1,376 3 1.5
$207,000 1,649 3 2.5
$310,397 2,665 4 3.5
$217,350 1,738 3 2.5
$227,700 1,672 3 1.5
$338,342 2,611 3 3.5
$212,072 1,681 4 2.5
$242,190 1,953 3 1.5
$244,260 1,994 4 1.5
$128,340 1,692 4 1.5
$206,069 1,311 2 1.5
$253,575 2,191 4 2.5
$273,240 2,494 3 2.5
$108,675 896 2 1
$193,545 1,940 3 1.5
$131,445 901 2 1.5
$103,500 1,493 4 1
$259,785 1,678 3 2
$108,675 1,455 3 1
$446,344 2,446 4 2.5
$155,147 1,434 3 1.5
$186,300 1,864 4 1.5
$127,823 1,178 2 1.5
$261,855 2,688 5 3
$341,550 2,496 4 2.5
$128,858 916 2 1
$439,047 2,826 4 3.5
$124,200 1,435 3 1.5
$212,175 1,856 3 1.5
$181,125 1,313 3 2
$305,325 2,232 4 2.5
$161,978 1,196 2 2
$148,005 1,435 3 1.5
$222,525 1,615 4 2
$297,045 2,116 3 2.5
$126,788 896 2 1
$186,300 1,183 3 2
$148,005 1,435 3 1.5
$141,795 1,333 2 1.5
$280,485 1,942 3 2.5
$134,447 1,435 2 2.5
$137,655 1,435 3 1.5
$185,265 1,412 3 1
$312,570 1,831 3 2.5
$173,880 1,078 3 1
$124,200 1,435 2 1.5
$123,165 1,435 2 2.5
$173,880 1,780 3 2
$129,272 1,476 4 2
$429,525 2,627 3 2.5
$155,250 989 3 2
$320,850 2,141 4 2
$162,495 1,326 3 1
$212,175 2,413 4 2.5
$284,625 1,809 3 2.5
$331,200 3,078 4 4
$393,300 2,855 5 2.5
$124,097 931 3 1
$357,075 3,047 4 2.5
$150,075 1,616 4 2
$127,305 686 2 1
$209,588 1,550 3 2
$188,370 1,517 3 2
$181,125 1,187 3 1.5
$137,138 1,337 3 1
$247,365 2,240 4 2.5
$89,139 931 2 1.5
$253,575 931 3 1
$237,947 1,765 4 2.5
$298,224 2,858 4 2.5
$194,063 1,602 3 1.5
$263,925 1,869 3 1.5
$150,075 931 3 1
$189,405 1,749 3 1.5
$329,451 2,537 4 2.5
$199,238 1,082 2 1.5
$201,825 2,082 2 1.5
$142,830 849 2 1.5
$238,050 2,038 4 2.5
$621,000 2,580 4 3.5
$271,170 1,442 3 3
$227,700 1,486 3 1.5
$284,625 2,411 4 2.5
$222,525 1,860 3 2
$103,500 1,231 3 1
$164,048 1,363 2 1.5
$154,112 1,343 2 1.5
$225,630 1,261 3 1.5
$368,294 3,161 4 2.5
$173,880 1,489 3 1.5
$176,985 1,586 4 1.5
$201,825 1,885 3 1.5
$208,946 1,625 3 2
$150,075 1,008 3 1
$213,210 1,746 3 2.5
$80,730 1,352 3 1.5
$332,132 1,828 2 2
$164,565 1,024 3 2
$186,300 1,545 3 1.5
$134,447 1,392 4 1
$155,250 1,617 4 1.5
$177,124 1,262 3 2
$156,285 1,201 3 1
$103,500 814 2 1
$677,925 756 2 1.5
$252,023 1,676 3 2.5
$274,275 1,616 3 1
$414,000 1,961 3 2.5
$282,348 2,158 4 2
$263,925 992 2 1
$227,700 1,251 2 1.5
$802,125 3,848 5 3.5
$241,155 1,648 4 1
$224,571 2,072 4 1
$253,575 1,385 2 2.5
$164,565 907 3 1
$750,375 2,508 4 3
$277,691 1,331 3 2
$164,565 1,233 3 1
$160,425 1,326 3 2
$357,075 2,056 4 2.5
$170,982 1,240 2 1
$191,475 1,070 2 1
$233,393 1,059 3 1
$434,700 2,179 4 2
$227,700 1,111 4 1.5
$641,700 3,152 3 2.5
$269,100 1,862 4 2.5
$372,497 1,874 3 2
$388,125 1,571 3 2.5
$313,502 1,590 3 1
$181,125 1,008 5 1.5
$269,100 1,625 4 2
$279,450 1,931 3 2.5
$501,975 1,850 4 3.5
$207,000 937 3 1
$379,845 1,760 2 2.5
$181,125 1,614 3 1
$210,105 1,179 2 2
$175,950 1,517 3 2
$388,125 2,669 4 2.5
$165,497 907 3 1
$238,050 1,568 4 1.5
$388,125 1,408 3 2
$435,735 1,853 3 2.5
$225,630 1,532 3 1.5
$173,725 1,862 3 1
$261,338 1,120 4 1.5
$672,750 3,656 4 2.5
$393,300 1,624 2 2.5
$222,008 884 3 1
$226,148 1,464 3 1
$180,090 838 2 1
$232,875 1,552 4 2
$320,591 1,691 3 2.5
$681,341 3,111 4 2.5
$210,105 1,251 2 1.5
$388,125 1,843 2 2.5
$64,688 2,723 3 1
$212,175 1,528 3 1.5
$87,458 1,084 3 1
$290,318 1,699 3 2
$188,370 1,700 3 1.5
$590,985 2,120 3 2.5
$173,880 1,746 2 1
$366,390 2,388 5 2.5
$246,330 1,247 5 2
$188,370 1,296 3 1
$226,148 1,134 2 2.5
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$154,215 1,462 3 1.5
$119,025 1

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