please assist with the NON GRADED problem. Data file is shown below: Selling Price Baths Sq Ft Bedrooms 160000 1.5 1776 3 170000 2 1768 3 178000 1 1219 3 182500 1 1568 2 195100 1.5 1125 3 212500 2 1196 2 245900 2 2128 3 250000 3 1280 3 255000 2 1596 3 258000 3.5 2374 4 267000 2.5 2439 3 268000 2 1470 4 275000 2 1678 4 295000 2.5 1860 3 325000 3 2056 4 325000 3.5 2776 4 328400 2 1408 4 331000 1.5 1972 3 344500 2.5 1736 3 365000 2.5 1990 4 385000 2.5 3640 4 395000 2.5 1918 4 399000 2 2108 3 430000 2 2462 4 430000 2 2615 4 454000 3.5 3700 4

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please assist with the NON GRADED problem. Data file is shown below:

Selling Price Baths Sq Ft Bedrooms
160000 1.5 1776 3
170000 2 1768 3
178000 1 1219 3
182500 1 1568 2
195100 1.5 1125 3
212500 2 1196 2
245900 2 2128 3
250000 3 1280 3
255000 2 1596 3
258000 3.5 2374 4
267000 2.5 2439 3
268000 2 1470 4
275000 2 1678 4
295000 2.5 1860 3
325000 3 2056 4
325000 3.5 2776 4
328400 2 1408 4
331000 1.5 1972 3
344500 2.5 1736 3
365000 2.5 1990 4
385000 2.5 3640 4
395000 2.5 1918 4
399000 2 2108 3
430000 2 2462 4
430000 2 2615 4
454000 3.5 3700 4
b. The Excel output for the estimated regression equation that can be used to predict selling price given square footage and the number of bedrooms:
SUMMARY OUTPUT
Regression statistics
Multiple R
0.7428
R Square
0.5518
Adjusted R Square
0.5128
Standard Error
60591.9567
Observations
26
ANOVA
df
MS
F
Significance F
Regression
2 1.03955E+11
51977265516
14.15739901
9.81929E-05
Residual
23 84441860122
3671385223
Total
25 1.88396E+11
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
-5882.7622
65587.6835
-0.0897
0.9293 -141561.2229
129795.6985
Sq Ft
59.7331
21.2707
2.8082
0.0100
15.7313
103.7349
Beds
54309.2083
22101.6231
2.4572
0.0220
8588.5174
100029.8991
Compare the fit for this simpler model to that of the model that also includes number of bathrooms as an independent variable.
The adjusted R² for the simpler model is
(to 2 decimals) that is higher
than the adjusted R of the model in part a.
Transcribed Image Text:b. The Excel output for the estimated regression equation that can be used to predict selling price given square footage and the number of bedrooms: SUMMARY OUTPUT Regression statistics Multiple R 0.7428 R Square 0.5518 Adjusted R Square 0.5128 Standard Error 60591.9567 Observations 26 ANOVA df MS F Significance F Regression 2 1.03955E+11 51977265516 14.15739901 9.81929E-05 Residual 23 84441860122 3671385223 Total 25 1.88396E+11 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -5882.7622 65587.6835 -0.0897 0.9293 -141561.2229 129795.6985 Sq Ft 59.7331 21.2707 2.8082 0.0100 15.7313 103.7349 Beds 54309.2083 22101.6231 2.4572 0.0220 8588.5174 100029.8991 Compare the fit for this simpler model to that of the model that also includes number of bathrooms as an independent variable. The adjusted R² for the simpler model is (to 2 decimals) that is higher than the adjusted R of the model in part a.
Spring is a peak time for selling houses. The file SpringHouses contains the selling price, number of bathrooms, square footage, and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in spring 2018 (realtor.com website)
Click on the datafile logo to reference the data.
DATA file
a. The Excel output for the estimated regression equation that can be used to predict the selling price given the number of bathrooms, square footage, and number of bedrooms in the house:
SUMMARY OUTPUT
Regression statistics
Multiple R
0.7429
R Square
0.5519
Adjusted R Square
0.4907
Standard Error
61948.6931
Observations
26
ANOVA
df
MS
F
Significance F
Regression
3
1.0397E+11
3.4656E+10
9.0306E+00
4.3455E-04
Residual
22
8.4428E+10
3.8376E+09
Total
25
1.8840E+11
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Intercept
-5531.0144
67312.9506
-0.0822
0.9353 -145129.5298
134067.5011
Baths
-1386.2100
23143.8052
-0.0599
0.9528
-49383.5243
46611.1044
Sq Ft
60.2793
23.5813
2.5562
0.0180
11.3748
109.1838
Beds
54797.0778
24019.7592
2.2813
0.0326
4983.1461
104611.0095
Does the estimated regression equation provide a good fit to the data? Explain. Hint: If R, is greater than 45%, the estimated regression equation provides a good fit.
The estimated regression equation does
provide a reasonable fit because the adjusted R is
(to 2 decimals).
Transcribed Image Text:Spring is a peak time for selling houses. The file SpringHouses contains the selling price, number of bathrooms, square footage, and number of bedrooms of 26 homes sold in Ft. Thomas, Kentucky, in spring 2018 (realtor.com website) Click on the datafile logo to reference the data. DATA file a. The Excel output for the estimated regression equation that can be used to predict the selling price given the number of bathrooms, square footage, and number of bedrooms in the house: SUMMARY OUTPUT Regression statistics Multiple R 0.7429 R Square 0.5519 Adjusted R Square 0.4907 Standard Error 61948.6931 Observations 26 ANOVA df MS F Significance F Regression 3 1.0397E+11 3.4656E+10 9.0306E+00 4.3455E-04 Residual 22 8.4428E+10 3.8376E+09 Total 25 1.8840E+11 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -5531.0144 67312.9506 -0.0822 0.9353 -145129.5298 134067.5011 Baths -1386.2100 23143.8052 -0.0599 0.9528 -49383.5243 46611.1044 Sq Ft 60.2793 23.5813 2.5562 0.0180 11.3748 109.1838 Beds 54797.0778 24019.7592 2.2813 0.0326 4983.1461 104611.0095 Does the estimated regression equation provide a good fit to the data? Explain. Hint: If R, is greater than 45%, the estimated regression equation provides a good fit. The estimated regression equation does provide a reasonable fit because the adjusted R is (to 2 decimals).
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