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Case Study #4- multiple regression analyses to create a prediction model for home prices based on up to fourindependent variables. You will calculate various descriptive

Case Study #4- multiple regression analyses to create a prediction model for home prices based on up to fourindependent variables. You will calculate various descriptive statistics, create summary tables,create various charts and develop five regression prediction models. The data file contains data for a random sample of 1,000 houses located in the greater Wilmington, DE area. The data fields included are as follows: Home Price Living area (square feet) Number of bedrooms Number of bathrooms Age (years)

1. There are numerous variables that are believed to be predictors of housing prices, including the ones in the data set for this project. Using the web, find the key variables that determine home price including any not include in this data set.

2. Using Data>Data Analysis>Descriptive Statistics in Excel, calculate the mean, median, range and standard deviation of each variable and summarize the results in table. Question. What's central tendency, variability and distribution of each variable. For example, do the variables appear to be distributed in a symmetric or skewed pattern?

3. Using Excel, create histograms for price of the home, living area (square feet) and age of the home. Be sure to give each chart a title and label the axes clearly.

Please describe how the frequency histograms from step 3 support and clarify the findings. Include in this section any evidence suggesting outliers in the data.

4. Using Excel, create scatterplots of each variable with each other variable. Be sure to give each chart a title and label the axes clearly.

5.. Using Data>Data Analysis>Correlation in Excel, calculate the correlation coefficient each variable with each other variable

Questions reviewing both Scatterplots and Correlation. Please describe what the scatterplots from step 4 andcorrelations from step 5 indicate about the relationship between the various pairs ofvariables (e.g., are the variables related?, does the relationship appear to be linear or nonlinear?, is the direction of the relationship positive or negative?).

6. Using Data>Data Analysis>Regression in Excel, run 4 separate simple regression models to predict the dependent variable (price of the home) with each of the independent variables. Use an alpha level of 0.05 to determine significance.

Please summarize the findings of the 4 simpleregression models from step 6. Which models (if any) show that the independentvariable in the model is a significant predictor of price of the home? Which models(if any) show that the independent variable in the model is not a significant predictorof price of the home? Which model is the best fitting? Which model is the poorest fitting?

7.Using Data>Data Analysis>Regression in Excel, run a multiple regression model to predict the dependent variable with all 4 independent variables. Use an alpha level of 0.05 to determine significance.

Please summarize the findings of the multiple regression model from step 7. Which variables in the model (if any) show that are a significant predictor of price of the home? Which variables in the model (if any) show that are not a significant predictor of price of the home? Does the multiple regression model provide a better fit than the best fitting simple regression model?

All data for this exercise is below. ** All information is provided**

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Home Price Living Area (Square Feet) Number of Bedrooms Number of Bathrooms Age (Years)
$26,049 1,344 3.0 2.0 13
$26,130 822 2.0 1.0 173
$31,113 1,540 2.0 1.0 115
$40,932 1,320 3.0 1.0 90
$44,674 1,214 3.0 1.0 103
$44,873 882 3.0 1.5 71
$45,004 960 2.0 1.0 11
$45,904 1,328 4.0 1.0 103
$47,630 1,235 3.0 1.0 84
$49,211 800 2.0 1.0 55
$49,564 1,363 3.0 2.0 39
$50,483 743 3.0 1.0 105
$50,709 960 2.0 1.5 12
$51,183 1,144 3.0 1.0 15
$52,360 1,310 4.0 1.5 120
$54,210 792 2.0 1.0 55
$55,817 1,688 5.0 2.0 119
$55,851 990 2.0 1.5 75
$57,678 924 1.0 1.0 104
$59,043 1,668 4.0 1.5 115
$60,238 1,664 3.0 1.5 76
$60,309 2,039 3.0 1.0 55
$62,105 1,228 2.0 1.0 53
$62,938 1,064 3.0 1.0 95
$63,101 1,628 2.0 1.0 124
$63,852 1,536 4.0 1.5 30
$64,174 672 2.0 1.0 46
$64,552 1,298 3.0 1.0 106
$65,325 813 2.0 1.0 68
$65,550 1,196 4.0 1.5 56
$65,615 924 3.0 1.0 39
$66,027 1,653 3.0 2.0 79
$67,951 1,040 2.0 1.0 19
$68,353 1,216 2.0 1.0 101
$69,152 986 3.0 1.0 133
$69,463 1,170 2.0 1.0 110
$69,814 840 1.0 1.0 57
$69,876 976 2.0 2.0 21
$71,647 2,087 3.0 2.5 0
$71,904 957 3.0 1.0 45
$72,189 1,594 4.0 1.5 81
$73,892 864 3.0 1.5 114
$74,421 1,928 4.0 2.0 134
$74,422 1,708 2.0 1.0 39
$74,422 2,708 4.0 2.0 21
$75,094 728 2.0 1.0 22
$75,399 988 2.0 1.0 20
$75,606 912 2.0 1.5 19
$75,862 995 3.0 1.0 47
$76,342 896 2.0 1.0 48
$77,547 908 2.0 1.0 19
$77,650 1,620 4.0 1.5 99
$77,921 1,704 2.0 1.0 177
$78,191 1,080 3.0 2.0 15
$79,116 908 2.0 1.0 19
$79,170 1,536 3.0 2.0 105
$79,567 908 2.0 1.0 19
$79,893 2,634 4.0 2.5 83
$79,982 1,572 4.0 1.5 41
$80,130 1,225 3.0 1.0 48
$80,248 1,600 3.0 1.5 16
$80,540 1,380 2.0 1.5 0
$81,580 1,336 2.0 1.5 20
$81,762 912 2.0 1.5 19
$81,762 1,008 3.0 1.0 41
$82,019 1,518 3.0 1.0 130
$82,556 1,480 3.0 1.5 14
$83,617 1,272 4.0 1.5 115
$84,291 1,480 2.0 2.5 14
$84,291 924 3.0 1.0 15
$84,291 924 3.0 1.0 15
$84,333 2,043 4.0 1.5 94
$85,560 2,068 4.0 1.0 104
$85,585 912 2.0 1.5 20
$85,939 1,527 2.0 2.0 17
$86,651 1,140 2.0 1.5 18
$87,588 1,392 2.0 1.0 17
$87,852 976 2.0 2.0 23
$87,852 1,270 3.0 1.0 110
$88,092 1,572 4.0 1.5 50
$88,092 929 2.0 1.5 22
$88,207 1,480 3.0 1.5 14
$88,770 1,000 3.0 1.0 91
$89,232 960 3.0 1.0 51
$89,306 1,480 3.0 1.5 19
$89,432 1,132 2.0 1.0 25
$89,893 1,480 2.0 2.5 14
$89,893 960 2.0 1.0 48
$89,955 1,216 3.0 1.0 129
$90,354 912 2.0 1.5 16
$90,446 1,200 3.0 2.0 10
$90,446 1,256 3.0 1.5 19
$90,678 957 3.0 1.0 49
$91,386 1,120 3.0 1.0 14
$91,672 929 2.0 1.5 21
$91,672 1,392 3.0 1.5 21
$91,792 908 2.0 1.0 17
$92,436 1,300 3.0 1.0 10
$92,519 1,281 2.0 2.5 19
$92,519 1,368 3.0 1.0 34
$92,852 912 2.0 1.5 20
$92,932 988 2.0 2.0 19
$93,174 784 1.0 1.0 44
$93,174 1,022 3.0 1.0 55
$93,200 924 2.0 1.0 19
$93,773 1,324 3.0 1.5 5
$93,815 1,184 2.0 1.5 19
$93,846 1,385 2.0 1.5 17
$93,895 1,480 3.0 1.5 17
$93,895 960 3.0 1.0 48
$94,064 1,480 2.0 2.5 16
$94,064 912 3.0 1.0 37
$94,405 1,375 2.0 1.5 22
$94,486 1,150 3.0 1.0 45
$94,584 924 2.0 1.0 19
$94,667 912 3.0 1.0 34
$94,774 1,240 2.0 1.5 17
$94,868 1,380 4.0 1.0 105
$95,260 1,480 3.0 1.5 15
$95,708 912 2.0 1.5 20
$95,708 912 2.0 1.5 20
$96,004 912 2.0 1.5 18
$96,934 1,480 3.0 1.5 19
$96,958 1,244 4.0 1.5 53
$97,476 1,219 2.0 1.5 19
$97,682 1,548 3.0 1.5 85
$97,739 1,276 2.0 2.0 26
$97,783 1,061 3.0 1.0 48
$98,256 1,480 2.0 2.5 16
$98,333 912 2.0 1.5 18
$98,389 1,184 2.0 1.5 18
$98,389 1,184 2.0 1.5 18
$98,423 1,355 3.0 1.0 60
$98,632 1,406 2.0 1.5 19
$98,652 1,158 3.0 1.5 14
$98,790 1,480 3.0 1.5 16
$99,045 937 2.0 1.0 19
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$99,311 1,281 2.0 2.5 18
$99,311 690 3.0 1.0 114
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$99,491 1,064 3.0 1.0 45
$99,574 1,628 2.0 1.5 30
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$100,839 1,480 2.0 1.5 17
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$101,193 1,375 2.0 1.5 21
$101,227 1,754 4.0 1.0 110
$101,230 1,281 2.0 1.0 8
$101,230 1,040 3.0 1.0 12
$101,230 1,032 2.0 1.0 23
$101,258 1,232 3.0 1.0 43
$101,375 960 3.0 1.0 19
$101,375 1,820 4.0 1.5 35
$101,418 1,852 4.0 2.0 37
$101,708 1,492 3.0 2.5 16
$101,997 1,214 2.0 1.5 17
$102,003 1,184 2.0 1.5 20
$102,068 1,172 3.0 2.5 73
$102,086 1,302 2.0 1.5 16
$102,287 882 3.0 1.5 71
$102,405 1,680 3.0 2.0 15
$102,530 1,202 2.0 1.5 18
$102,626 1,227 3.0 1.0 115
$102,801 1,184 3.0 2.0 18
$102,806 1,480 3.0 1.5 15
$102,806 1,168 3.0 2.0 21
$102,806 1,248 3.0 1.0 46
$103,256 1,492 3.0 1.5 16
$103,258 1,344 3.0 1.5 16
$103,262 1,176 2.0 1.5 31
$103,408 1,034 2.0 1.5 14
$103,508 1,560 3.0 1.5 16
$103,633 1,314 2.0 1.5 21
$103,672 1,476 3.0 2.0 6
$103,677 1,375 2.0 1.5 21
$103,861 1,700 3.0 1.0 25
$103,958 1,486 3.0 1.5 16
$104,084 1,170 2.0 2.0 10
$104,084 1,302 2.0 1.5 17
$104,084 1,480 3.0 1.5 19
$104,267 1,056 3.0 1.0 47
$104,328 898 2.0 1.0 57
$104,339 1,290 3.0 2.0 16
$104,371 1,463 3.0 1.5 125
$104,412 1,480 2.0 1.5 15
$104,412 2,116 4.0 2.0 74
$104,556 1,673 2.0 2.0 18
$104,556 1,673 2.0 2.0 18
$104,651 912 2.0 1.5 19
$104,749 1,852 4.0 1.0 147
$104,984 1,184 3.0 2.0 21
$104,984 1,144 3.0 1.5 44
$104,984 1,096 3.0 1.0 67
$105,035 908 2.0 1.0 21
$105,363 1,100 3.0 1.0 93
$105,363 864 3.0 1.0 128
$105,843 972 3.0 1.0 40
$106,117 1,480 3.0 1.5 21
$106,365 1,184 3.0 2.0 20
$106,524 1,148 3.0 1.0 7
$106,524 1,144 2.0 1.0 16
$106,524 1,308 2.0 1.0 17
$106,659 936 3.0 1.0 34
$106,950 1,472 3.0 1.0 28
$107,049 1,592 3.0 2.0 16
$107,306 1,276 3.0 2.0 29
$107,411 840 2.0 1.0 2
$107,513 1,008 3.0 1.0 38
$107,695 1,802 4.0 2.0 56
$107,743 1,184 2.0 1.5 18
$107,743 1,228 3.0 1.5 21
$107,766 1,272 3.0 1.0 43
$107,892 1,375 2.0 1.5 20
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$107,919 1,056 2.0 2.0 7
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$108,421 1,288 3.0 1.0 32
$108,459 1,292 3.0 1.5 25
$108,478 1,840 3.0 1.0 8
$108,593 1,480 3.0 1.5 19
$108,785 1,480 3.0 1.5 22
$108,794 1,464 2.0 1.0 87
$108,958 1,514 3.0 1.5 19
$109,040 1,198 2.0 1.0 13
$109,042 880 3.0 1.0 56
$109,249 812 2.0 1.0 115
$109,259 1,239 3.0 1.0 33
$109,577 1,456 3.0 1.5 155
$109,578 1,176 3.0 2.0 5
$109,578 1,342 2.0 1.0 41
$109,633 775 2.0 1.0 47
$109,999 1,218 3.0 1.5 0
$110,115 1,385 2.0 1.5 17
$110,182 1,480 3.0 1.5 20
$110,234 1,652 3.0 1.5 105
$110,738 1,800 3.0 1.5 83
$110,770 911 2.0 1.0 114
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$110,963 1,568 3.0 1.5 18
$110,963 1,888 3.0 1.0 18
$111,221 1,056 3.0 1.0 27
$111,239 912 2.0 1.5 20
$111,264 1,142 3.0 1.5 18
$111,353 1,248 3.0 1.5 0
$111,394 1,272 3.0 1.5 1
$111,436 1,380 3.0 1.5 2
$111,534 1,032 3.0 1.0 4
$111,546 1,560 3.0 1.0 31
$111,633 1,564 3.0 1.0 54
$111,702 878 2.0 1.0 28
$111,809 1,711 3.0 1.0 112
$111,875 1,758 3.0 2.0 25
$112,153 1,270 3.0 1.5 18
$112,153 1,834 4.0 2.0 65
$112,400 1,375 2.0 1.5 20
$112,509 1,138 3.0 1.0 98
$112,649 1,350 3.0 1.5 26
$112,825 1,314 2.0 1.5 20
$112,877 1,380 3.0 1.0 3
$113,367 1,760 4.0 1.5 133
$113,371 1,177 3.0 1.5 36
$113,444 1,656 3.0 1.0 94
$113,514 1,142 2.0 2.0 40
$113,600 1,240 3.0 2.0 18
$113,740 1,920 3.0 1.0 34
$113,796 960 3.0 1.0 40
$114,070 1,098 2.0 1.0 113
$114,238 1,164 3.0 2.0 7
$114,326 1,053 3.0 1.0 41
$114,513 1,560 3.0 1.5 5
$114,513 960 2.0 2.0 11
$114,514 1,514 3.0 2.0 17
$114,519 1,428 3.0 2.0 85
$114,590 1,736 3.0 2.0 37
$114,827 1,332 3.0 1.0 45
$115,248 1,700 2.0 2.0 15
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$115,401 1,480 3.0 1.5 18
$115,566 1,184 3.0 2.0 17
$115,649 1,422 3.0 1.5 20
$115,659 1,242 3.0 2.0 30
$115,771 1,479 3.0 1.5 17
$116,170 1,272 3.0 1.0 31
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$116,589 1,184 3.0 2.0 18
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$116,795 1,404 3.0 1.5 28
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$116,882 1,542 3.0 2.5 10
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$117,287 1,040 3.0 1.0 39
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$120,476 2,238 3.0 1.5 114
$120,639 1,498 2.0 1.5 0
$120,639 1,498 2.0 1.5 0
$121,279 1,348 2.0 2.5 18
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$121,798 1,308 3.0 1.0 29
$121,973 2,268 3.0 1.0 25
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$122,221 1,440 3.0 1.0 32
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$122,796 1,612 3.0 1.0 34
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$123,266 1,632 3.0 1.5 14
$123,757 1,416 3.0 1.5 5
$123,827 1,302 3.0 2.0 35
$123,834 1,092 5.0 1.0 72
$123,910 1,620 3.0 2.5 1
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$124,492 1,164 3.0 2.0 8
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$124,669 1,092 3.0 1.5 35
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$127,385 1,416 3.0 1.5 11
$127,394 2,040 5.0 2.5 127
$127,740 1,480 3.0 2.5 16
$128,040 1,488 3.0 2.5 1
$128,040 1,688 3.0 1.0 29
$128,273 1,343 2.0 2.5 15
$128,434 1,508 3.0 1.5 19
$128,440 1,554 3.0 1.5 103
$128,717 1,215 3.0 1.5 41
$129,155 1,242 2.0 2.0 3
$129,155 1,260 2.0 1.5 27
$129,427 1,512 3.0 2.0 16
$129,470 2,088 3.0 1.0 29
$129,609 1,635 4.0 1.5 52
$129,723 1,593 3.0 1.0 63
$129,868 1,792 2.0 2.5 24
$130,229 1,248 3.0 2.0 11
$130,239 1,052 2.0 1.5 15
$130,239 1,586 3.0 1.5 49
$130,490 1,595 3.0 2.0 6
$130,518 1,200 3.0 1.5 1
$130,574 1,600 3.0 1.0 57
$130,650 2,110 3.0 2.0 52
$130,757 1,394 4.0 1.0 33
$130,782 1,274 3.0 1.5 14
$130,917 1,456 3.0 1.0 23
$131,165 1,564 3.0 2.0 13
$131,411 1,512 3.0 1.5 13
$132,088 1,368 3.0 1.0 33
$132,138 1,468 2.0 1.5 161
$132,311 1,512 3.0 1.5 13
$133,067 1,326 4.0 2.0 7
$133,155 1,334 3.0 1.5 7
$133,155 1,480 3.0 2.5 16
$133,199 1,716 4.0 2.0 4
$133,215 1,364 2.0 1.5 19
$133,595 1,666 3.0 2.5 1
$133,612 1,768 4.0 1.5 48
$133,688 1,780 2.0 2.5 25
$134,171 2,133 4.0 1.5 34
$134,266 1,501 3.0 2.0 44
$134,378 1,279 3.0 1.0 31
$134,865 1,676 3.0 1.5 14
$134,865 1,500 3.0 1.5 31
$134,933 1,496 3.0 1.0 37
$135,011 2,488 3.0 2.0 24
$135,011 1,327 2.0 2.0 35
$135,167 1,610 3.0 2.0 17
$135,526 1,420 3.0 1.5 13
$135,526 1,952 4.0 2.5 31
$135,708 1,460 2.0 2.0 17
$135,820 1,475 3.0 2.0 20
$135,823 1,946 4.0 1.5 18
$135,901 1,508 3.0 1.5 21
$136,192 1,623 4.0 1.5 36
$136,203 1,479 2.0 1.5 20
$136,379 1,486 3.0 2.5 0
$136,499 1,152 3.0 1.0 36
$136,551 1,880 3.0 2.0 7
$137,044 1,352 2.0 1.5 11
$137,127 1,892 3.0 2.0 26
$137,220 1,290 3.0 1.5 16
$137,309 1,092 3.0 1.5 33
$137,508 1,530 3.0 2.0 20
$137,508 1,164 3.0 1.0 54
$137,540 1,551 4.0 1.0 97
$137,606 1,508 3.0 1.5 19
$137,681 1,728 4.0 1.5 12
$138,297 1,800 2.0 1.0 49
$138,424 1,673 3.0 1.0 27
$138,914 1,576 3.0 1.5 18
$139,079 1,719 3.0 1.5 25
$139,079 1,400 3.0 1.5 35
$139,079 1,248 3.0 2.0 37
$139,079 1,608 3.0 1.0 63
$139,104 1,760 4.0 3.0 135
$139,219 2,308 2.0 3.0 5
$139,418 1,296 4.0 2.0 51
$139,435 1,666 3.0 2.5 0
$139,627 1,980 4.0 1.0 205
$139,800 1,900 3.0 1.5 12
$140,238 1,322 3.0 1.0 130
$140,269 1,244 2.0 1.5 13
$140,510 1,590 3.0 2.5 0
$140,602 1,693 3.0 1.5 26
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