Question: Simple Regression Models Using your results from the data, discuss whether any of the simple regression models evidence any violations of the following model assumptions,

  1. Simple Regression Models
    1. Using your results from the data, discuss whether any of the simple regression models evidence any violations of the following model assumptions, including discussing the specific regression output used and acceptance criteria used to evaluate potential violations of each model assumption:
      1. Linearity assumption.
      2. Equal variance (homoscedasticity) assumption.
      3. Endogeneity assumption
    2. Using your results from the data, discuss the joint statistical significance of each simple regression model at a 95% level of confidence, including identifying the appropriate regression statistic, statistic value, and criteria used to evaluate the statistical significance.
    3. Using your results from the data, discuss the individual statistical significance of each simple regression model at a 95% level of confidence, including identifying the appropriate regression statistic, statistic value, and criteria used to evaluate the statistical significance.
  2. Multiple Regression Models
    1. Using your results from the data, discuss the joint statistical significance of each multiple regression model at a 95% level of confidence, including identifying the appropriate regression statistic, statistic value, and criteria used to evaluate the statistical significance.
    2. Using your results from the data, discuss the individual statistical significance of each multiple regression model at a 95% level of confidence, including identifying the appropriate regression statistic, statistic values, and criteria used to evaluate the statistical significance.
    3. Using your results from the data, discuss whether there is any evidence a problem with multicollinearity between the independent variables for any of the multiple regression models, including identifying the appropriate regression statistics, statistic values, and criteria used to evaluate the multicollinearity.
  3. Using the multiple regression model that includes living area, number of bedrooms, and number of bathrooms as the independent variables:
    1. Calculate a 95% confidence interval for the selling price for a house with 2,500 square feet of living area, 3 bedrooms, and 1.5 bathrooms.
    2. Calculate a 95% prediction interval for the mean expected value of the selling price for a house with 2,500 square feet of living area, 3 bedrooms, and 1.5 bathrooms
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The income statement of Vaughn Company is shown below. $6,950,000 VAUGHN COMPANY INCOME STATEMENT FOR THE YEAR ENDED DECEMBER 31, 2017 Sales revenue Cost of goods sold Beginning inventory $1,890,000...
Selling Price (y) Living Area (Sq Feet) (x1) No. Bedrooms (x2) No. Bathrooms (x3)
$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
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