A collector of antique grandfather clocks believes that the price (Y) received for the clocks at...
A collector of antique grandfather clocks believes that the price (Y) received for the clocks at an auction increases with age of the clocks (X1) measured in years and also with the number of bidders (X2). The model is then fitted to the data and the following summary results are obtained:
|
r2 |
0.8927 |
|
Std. err. of est.: SY.X |
133.1365 |
|
F (p value) |
120.6511 (0.000) |
|
b1 (p value) |
12.7362 (0.000) |
|
b2 (p value) |
85.8151 (0.000) |
A measure of the unexplained variation in the regression is the mean square error (MSE). What is the value of this statistic?
a. 133.14
b. 0.1073
c. 17,725.33
d. Insufficient Information
Homework Answers
Mean square error = (Standard error)^2 = (133.14)2 = 17725.33
Option C is correct.
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A collector of antique grandfather clocks believes that
the price (Y) received for the clocks at...
SUMMARY OUTPUT Regression Statistics Multiple R 0.9448 R2 0.8927 Adj. R2 0.8853 SY.X...
SUMMARY OUTPUT Regression Statistics Multiple R 0.9448 R2 0.8927 Adj. R2 0.8853 SY.X 133.14 N 32 ANOVA df SS MS F P-value Regression 2 4277160 2138580 120.6511 0.0000 Residual 29 514034.5 17725.33 Total 31 4791194 Coeff. Std. Err. t Stat P-value Lower 95% Upper 95% Intercept -1336.72 173.3561 -7.71084 0.0000 -1691.2753 -982.16877 X1 12.7362 0.90238 14.114 0.0000 10.890623 14.5817752 X2 85.81513 8.705757 9.857286 0.0000 68.009851 103.620414 With respect to the null hypothesis for...
Question 28 3 pts Small Mean Problem. Grandfather clocks have a particular market in auctions. One theory about the pri...
Question 28 3 pts Small Mean Problem. Grandfather clocks have a particular market in auctions. One theory about the price at an auction is that it is higher when there are 10 or more bidders. From published data, the average price of all grandfather clocks is given as $1,327. You are not given a standard deviation for all clocks. You are given a random sample of 14 purchases of grandfather clocks at auctions in Pennsylvania where there are 10 or...
HELP ASAP An antiques dealer is interested in factors that might influence the final selling price...
HELP ASAP
An antiques dealer is interested in factors that might influence the final selling price of grandfather clocks at auction. Her data includes the age of the clock (Age), the number of bidders (Bidders) at the auction, and the final selling price (Price) of the clocks SUMMARY OUTPUT Regression Statistics Multiple R 0.944834723 R Square 0.892722653 Adjusted R Square 0.885313526 Standard Error 139.1365018 Observations 32 ANOVA Significance F 8.76907E-15 2 Regression Residual Total SS MS F 4277159.703 2138580 120.6511...
ek-tin Based on the following regression output, what proportion the total variation in Y is explained...
ek-tin
Based on the following regression output, what proportion the total variation in Y is explained by X? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA di SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 Residual 8 704.7117 88.08896 9 Total 4440.0170 Coefficients Standard Error t Stat P-value Lower 95% Intercept 31.623780 10.442970 3.028236 0.016353 7.542233 X Variable 1.131661 0.173786 6.511819 0.000186 0.730910 o a. 0.917214 o b.9.385572...
5. Summary of regression between a dependent variable y and two independent variables X, and x2...
5. Summary of regression between a dependent variable y and two independent variables X, and x2 is as follows. Please complete the table: SUMMARY OUTPUT Regression Statistics Multiple R 0.9620 R Square R2E? Adjusted R Square 0.9043 Standard Error 12.7096 Observations 10 ANOVA F Significance F F=? Overall p-value=? Regression Residual Total 2 df of SSE MS MSR=? MSE? 14052.1550 1130.7450 SSTE? MSE? 9 Coefficients -18.3683 Standard Error 17.9715 t Stat -1.0221 Intercept ty=? 2.0102 4.7378 0.2471 0.9484 P-value 0.3408...
The accompanying data resulted from a study of the relationship between y = brightness of finished...
The accompanying data resulted from a study of the relationship between y = brightness of finished paper and the independent variables x1 = hydrogen peroxide (% by weight), x2 = sodium hydroxide (% by weight), x3 = silicate % by weight), and X4 = process temperature. y 0.1 0.3 2.5 160 82.9 0.2 0.2 1.5 145 83.9 0.4 0.2 1.5 145 84.9 0.5 0.3 2.5 160 85.5 0.3 0.1 2.5 160 85.2 0.2 0.4 1.5 145 83.4 0.4 | 0.4...
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6. Step 6: the formula for the intercept (i.e. constant: denoted as Alpha Hat) of a bivariate regression is Find the Alpha hat= !! As the formula indicates, simply you need put the y and subtract the product of and the answer you responded in question 5 above. 3 7. Now you do have regression equation. By plugging in x in the above equation you can fill in the third column below. Once you fill in the third column, by...
Question 28 3 pts Small Mean Problem. Grandfather clocks have a particular market in auctions. One theory about the price at an auction is that it is higher when there are 10 or more bidders. From published data, the average price of all grandfather clocks is given as $1,327. You are not given a standard deviation for all clocks. You are given a random sample of 14 purchases of grandfather clocks at auctions in Pennsylvania where there are 10 or...
HELP ASAP
An antiques dealer is interested in factors that might influence the final selling price of grandfather clocks at auction. Her data includes the age of the clock (Age), the number of bidders (Bidders) at the auction, and the final selling price (Price) of the clocks SUMMARY OUTPUT Regression Statistics Multiple R 0.944834723 R Square 0.892722653 Adjusted R Square 0.885313526 Standard Error 139.1365018 Observations 32 ANOVA Significance F 8.76907E-15 2 Regression Residual Total SS MS F 4277159.703 2138580 120.6511...
ek-tin
Based on the following regression output, what proportion the total variation in Y is explained by X? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA di SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 Residual 8 704.7117 88.08896 9 Total 4440.0170 Coefficients Standard Error t Stat P-value Lower 95% Intercept 31.623780 10.442970 3.028236 0.016353 7.542233 X Variable 1.131661 0.173786 6.511819 0.000186 0.730910 o a. 0.917214 o b.9.385572...
5. Summary of regression between a dependent variable y and two independent variables X, and x2 is as follows. Please complete the table: SUMMARY OUTPUT Regression Statistics Multiple R 0.9620 R Square R2E? Adjusted R Square 0.9043 Standard Error 12.7096 Observations 10 ANOVA F Significance F F=? Overall p-value=? Regression Residual Total 2 df of SSE MS MSR=? MSE? 14052.1550 1130.7450 SSTE? MSE? 9 Coefficients -18.3683 Standard Error 17.9715 t Stat -1.0221 Intercept ty=? 2.0102 4.7378 0.2471 0.9484 P-value 0.3408...
The accompanying data resulted from a study of the relationship between y = brightness of finished paper and the independent variables x1 = hydrogen peroxide (% by weight), x2 = sodium hydroxide (% by weight), x3 = silicate % by weight), and X4 = process temperature. y 0.1 0.3 2.5 160 82.9 0.2 0.2 1.5 145 83.9 0.4 0.2 1.5 145 84.9 0.5 0.3 2.5 160 85.5 0.3 0.1 2.5 160 85.2 0.2 0.4 1.5 145 83.4 0.4 | 0.4...
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6. Step 6: the formula for the intercept (i.e. constant: denoted as Alpha Hat) of a bivariate regression is Find the Alpha hat= !! As the formula indicates, simply you need put the y and subtract the product of and the answer you responded in question 5 above. 3 7. Now you do have regression equation. By plugging in x in the above equation you can fill in the third column below. Once you fill in the third column, by...
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