1 SUMMARY OUTF This is for all variables; place your analysis over top of this guide. Tell Excel it is OK to overwrite this data. Regression Statistics SUMMARY OUTPUT Multiple R RSquare Adjusted R Squar Standard Error Observations ANOVA Regression Residual Total Intercept Bedrooms Size Pool Distance Twnship Garage Baths 0.7305 0.5336 0.4999 33.311 105 size pool 7 97 104 distance township garage baths 62.249 7.3755 0.0386 -19.11 -1.013 -1.739 35.498 23.093 Regression Statistics Multiple F 0.7305 RSquare 0.5336 Adjusted 0.4999 Standarc 33.311 Observat 105 ANOVA 0.4674 Regressi Residual Total af Coefficientandard Er. Intercept 62.249 40.914 Bedroom 7.3755 4 Correlation Table Complete the rest of the table. pool Independent Var: Sales Pri- bedroom size bedrooms 2 How much of the price is determined by the regression equation that contains all independent variable 62.249 3 Based on the ANOVA F and Significance F values, how likely is it that the regression equation coefficients (taken together, or as a global test) are responsible for predicting the sales price? (choose: not likely, somewhat likely, very likely) Very Likely MS F Significance F 17591 15.853 1.008E-13 7 123136 97 107631 1109.6 104 230768 Stat F-value Lower 95% pper 95%wer 95. Ooper 95.0% 1.5215 0.1314 -18.954352 143.45 -18.95 143.45 2.59 2.8477 0.0054 2.23502257 12.516 2.235 12.516 0.0386 0.0148 2.618 0.0103 0.00934311 0.0679 0.0093 0.0679 7.1266 -2.682 0.0086 -33.255676 -4.967 -33.26 -4.967 0.7414 -1.366 0.1751 -2.4841123 0.4588 -2.484 0.4588 0.521 -7.096602 3.6186 -7.097 3.6186 1E-05 20.2636043 50.732 20.264 50.732 0.0124 5.11431252 41.071 5.1143 41.071 0.371 0.3835 -0.294 -0.005 -0.201 Size Pool -19.11 Distance -1.013 Twnship -1.739 2.6994 -0.644 Garage 35.498 7.6758 4.6246 Baths 23.093 9.0583 2.5493 distance township garage -0.347 -0.153 -0.117 0.1394 0.1282 0.2001 0.1846 -0.201 0.5263 0.2341 0.083 -0.114 0.0567 -0.359 0.3822 0.3289 0.0244 -0.055 -0.195 0.0497 0.2213 5 Do you see any multicollinearity? No 6 Which independent variable has the greatest effect on Sales Price Garage 7 Consider the t Stat and P-value values for each coefficient. Do they suggest that any independent variables have too high of a probability of not affecting the dependent variable in the population? Use a significance level of 0.05. Yes, the T stat and P-value of pool, distance, and township has a high probability of not affecting the dependent variable in the population. Run the regression analysis again, but this time, exclude the independent variables you identified in step 7. You may have to copy the columns you need to another place on the worksheet to put them all next to each other. Also this time, include residual plots and the normal probability plot. Move your residual plots and normal probability plot to the right of the summary output below. es 9&10 are placed 9 How much of the price is determined by the regression equation that contains the remaining independent variable 62.249 10 Examine the residual plots and normal probability plot. Write down any observations that might indicate the underlying ere due to the length of residual plot data assumptions of linear relationships, homoscedasticity, normal distribution of residuals, no multicollinearity. and no autocorrelation might not be true. Answer them after station #

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Author:Amos Gilat
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How much of the price is determined by the regression equation that contains all independent variables? Based on the ANOVA F and Significance F values, how likely is it that the regression equation coefficients (taken together, or as a global test) are responsible for predicting the sales price? (choose: not likely, somewhat likely, very likely). Do you see any multicollinearity? Which independent variable has the greatest effect on Sales Price? Consider the t Stat and P-value values for each coefficient. Do they suggest that any independent variables. have too high of a probability of not affecting the dependent variable in the population? Use a significance level of 0.05. How much of the price is determined by the regression equation that contains the remaining independent variables? Examine the residual plots and normal probability plot. Write down any observations that might indicate the underlying assumptions of linear relationships, homoscedasticity, normal distribution of residuals, no multicollinearity, and no autocorrelation might not be true
1 SUMMARY OUTF This is for all variables; place your analysis over top of this guide. Tell Excel it is OK to overwrite this data.
Regression Statistics
SUMMARY OUTPUT
Multiple R
R Square
Adjusted R Squal
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Bedrooms
Size
Pool
Distance
Twnship
Garage
Baths
size
pool
0.7305
0.5336
0.4999
33.311
105
distance
township
7
97
104
garage
baths
62.249
7.3755
0.0386
-19.11
-1.013
-1.739
35.498
23.093
Regression Statistics
Multiple F 0.7305
RSquare 0.5336
Adjusted 0.4999
Standard 33.311
Observat
105
ANOVA
0.4674
Regressi
Residual
Total
4 Correlation Table Complete the rest of the table.
pool
Independent Var: Sales Pri bedroom size
bedrooms
2
2 How much of the price is determined by the regression equation that contains all independent variable 62.249
3 Based on the ANOVA F and Significance F values, how likely is it that the regression equation coefficients (taken together,
or as a global test) are responsible for predicting the sales price? (choose: not likely, somewhat likely, very likely)
Very Likely
SS
7 123136
97 107631
104 230768
MS
F
Significance F
17591 15.853 1.008E-13
1109.6
Coefficientandard Er +Star F-value Lower 95% Ipper 95%ower 95. Ooper 95.0%
Bedroom 7.3755
Size
Intercept 62.249 40.914 1.5215 0.1314 -18.954352 143.45 -18.95 143.45
2.59 2.8477 0.0054 2.23502257 12.516 2.235
12.516
0.0386 0.0148
2.618
0.0103 0.00934311 0.0679 0.0093 0.0679
Pool
-19.11 7.1266 -2.682 0.0086 -33.255676 -4.967 -33.26 -4.967
Distance -1.013 0.7414 -1.366 0.1751 -2.4841123 0.4588 -2.484 0.4588
Twnship -1.739 2.6994 -0.644 0.521 -7.096602 3.6186 -7.097 3.6186
Garage 35.498 7.6758 4.6246 1E-05 20.2636043 50.732 20.264 50.732
Baths 23.093 9.0583 2.5493 0.0124 5.11431252 41.071 5.1143 41.071
distance township garage
0.371 0.3835
-0.294 -0.005 -0.201
-0.347 -0.153 -0.117 0.1394
0.1282 0.2001 0.1846 -0.201
0.5263 0.2341 0.083 -0.114 0.0567 -0.359
0.3822 0.3289 0.0244 -0.055 -0.195 0.0497 0.2213
5 Do you see any multicollinearity? No
6 Which independent variable has the greatest effect on Sales Price' Garage
7 Consider the t Stat and P-value values for each coefficient. Do they suggest that any independent variables
have too high of a probability of not affecting the dependent variable in the population? Use a significance level of 0.05.
Yes, the T stat and P-value of pool, distance, and township has a high probability of not affecting the dependent variable in the population.
Run the regression analysis again, but this time, exclude the independent variables you identified in step 7. You may have to copy the columns you
need to another place on the worksheet to put them all next to each other. Also this time, include residual plots and the normal probability plot.
Move your residual plots and normal probability plot to the right of the summary output below.
9 How much of the price is determined by the regression equation that contains the remaining independent variable 62.249
10 Examine the residual plots and normal probability plot. Write down any observations that might indicate the underlying
Ques 98 10 are placed
here due to the length
of residual plot data
Answer them after
completing #3.
assumptions of linear relationships, homoscedasticity, normal distribution of residuals, no multicollinearity,
and no autocorrelation might not be true.
Transcribed Image Text:1 SUMMARY OUTF This is for all variables; place your analysis over top of this guide. Tell Excel it is OK to overwrite this data. Regression Statistics SUMMARY OUTPUT Multiple R R Square Adjusted R Squal Standard Error Observations ANOVA Regression Residual Total Intercept Bedrooms Size Pool Distance Twnship Garage Baths size pool 0.7305 0.5336 0.4999 33.311 105 distance township 7 97 104 garage baths 62.249 7.3755 0.0386 -19.11 -1.013 -1.739 35.498 23.093 Regression Statistics Multiple F 0.7305 RSquare 0.5336 Adjusted 0.4999 Standard 33.311 Observat 105 ANOVA 0.4674 Regressi Residual Total 4 Correlation Table Complete the rest of the table. pool Independent Var: Sales Pri bedroom size bedrooms 2 2 How much of the price is determined by the regression equation that contains all independent variable 62.249 3 Based on the ANOVA F and Significance F values, how likely is it that the regression equation coefficients (taken together, or as a global test) are responsible for predicting the sales price? (choose: not likely, somewhat likely, very likely) Very Likely SS 7 123136 97 107631 104 230768 MS F Significance F 17591 15.853 1.008E-13 1109.6 Coefficientandard Er +Star F-value Lower 95% Ipper 95%ower 95. Ooper 95.0% Bedroom 7.3755 Size Intercept 62.249 40.914 1.5215 0.1314 -18.954352 143.45 -18.95 143.45 2.59 2.8477 0.0054 2.23502257 12.516 2.235 12.516 0.0386 0.0148 2.618 0.0103 0.00934311 0.0679 0.0093 0.0679 Pool -19.11 7.1266 -2.682 0.0086 -33.255676 -4.967 -33.26 -4.967 Distance -1.013 0.7414 -1.366 0.1751 -2.4841123 0.4588 -2.484 0.4588 Twnship -1.739 2.6994 -0.644 0.521 -7.096602 3.6186 -7.097 3.6186 Garage 35.498 7.6758 4.6246 1E-05 20.2636043 50.732 20.264 50.732 Baths 23.093 9.0583 2.5493 0.0124 5.11431252 41.071 5.1143 41.071 distance township garage 0.371 0.3835 -0.294 -0.005 -0.201 -0.347 -0.153 -0.117 0.1394 0.1282 0.2001 0.1846 -0.201 0.5263 0.2341 0.083 -0.114 0.0567 -0.359 0.3822 0.3289 0.0244 -0.055 -0.195 0.0497 0.2213 5 Do you see any multicollinearity? No 6 Which independent variable has the greatest effect on Sales Price' Garage 7 Consider the t Stat and P-value values for each coefficient. Do they suggest that any independent variables have too high of a probability of not affecting the dependent variable in the population? Use a significance level of 0.05. Yes, the T stat and P-value of pool, distance, and township has a high probability of not affecting the dependent variable in the population. Run the regression analysis again, but this time, exclude the independent variables you identified in step 7. You may have to copy the columns you need to another place on the worksheet to put them all next to each other. Also this time, include residual plots and the normal probability plot. Move your residual plots and normal probability plot to the right of the summary output below. 9 How much of the price is determined by the regression equation that contains the remaining independent variable 62.249 10 Examine the residual plots and normal probability plot. Write down any observations that might indicate the underlying Ques 98 10 are placed here due to the length of residual plot data Answer them after completing #3. assumptions of linear relationships, homoscedasticity, normal distribution of residuals, no multicollinearity, and no autocorrelation might not be true.
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