Homework Answers
Coefficient of determination , R² is the percentage of variation in y can be explained by the regression model.
From the given information , R ² = 0.035
R² = 3.5%
Approximately 3.5% of variation in accident damage can be explained by variation in the age of the driver.
Option B
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This Question: 5 pts 9 of 9 (1 comp Suppose that you run a regression and...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of...
1. In regression analysis, the Sum of Squares Total (SST) is a. The total variation of the dependent variable b. The total variation of the independent variable c. The variation of the dependent variable that is explained by the regression line d. The variation of the dependent variable that is unexplained by the regression line Question 2 In regression analysis, the Sum of Squares Regression (SSR) is A. The total variation of the dependent variable B. The total variation of the independent variable...
7,10,11 Based on the following regression output, what is the equation of the regression line? Regression...
7,10,11
Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA df SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 8 Residual 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. 9; = 7.542233+0.7309 Xli o b....
REGRESSION STATISTICS Multiple R .142620229 R Square .02034053 Standard Error 20.25979924 Observations 22 Coefficients Standard Error...
REGRESSION STATISTICS Multiple R .142620229 R Square .02034053 Standard Error 20.25979924 Observations 22 Coefficients Standard Error T Stat P-Value Intercept 39.39.027309 37.24347659 1.057642216 .302826622 Attendance .340583573 .52852452 .644404489 .526635689 _______ In the table above, the proportion of the variation in "Score received on the exam" that can be explained by the variation in attendance is given by -standard error -R Square -The P-value -Intercept
Q. 9 The following is a partial regression result of a two-variable model (i.e. simple linear...
Q. 9 The following is a partial regression result of a two-variable model (i.e. simple linear regression). In the study, a health care economist seeks to determine if a relationship exists between personal income and expenditures on health care, both measured in billions of dollars. Regression Statistics Multiple R ??? R Square ??? Standard Error Observations 51 ANOVA df SS MS F P-value Regression 1 15,750.32 0.00001 Residual/Error Total ??? 16,068.21 Coefficients Standard Error t Stat P-value Lower 95% Upper...
18 QueSLIVIT TO Based on the following regression output, what is the equation of the regression...
18
QueSLIVIT TO Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.99313 0.98630 R Square Adjusted R Square Standard Error 0.98238 2.94802 10 Observations ANOVA df SS MS Significance F Regression 4379.182 2189.591 251.943 0.0000 Residual 7 60.836 8.691 9 Total 4440.017 Coefficients Standard Error t Stat P-value Lower 95% 14.169 3.856 3.674 Intercept 0.008 5.050 X Variable 1 0.985 0.114 8.607 0.000 0.714 X Variable 0.995 0.057 17.498 0.000...
The following output is a regression of hourly EARNINGS on HEIGHT. a. Create a 99% confidence...
The following output is a regression of hourly EARNINGS on HEIGHT. a. Create a 99% confidence interval for the slope coefficient B1 and interpret it. b. Is the slope coefficient on HEIGHT statistically significant at a level of significance of 1%? c. Years of schooling S also affects EARNINGS but has not been added to the regression. Where does the effect of Soccur in this regression output? SUMMARY OUTPUT Regression Statistics Multiple R 0.241124399 R Square 0.058140976 Adjusted R Square...
Suppose you run a regression in Excel. What is one way to determine if an explanatory...
Suppose you run a regression in Excel. What is one way to determine if an explanatory variable is statistically significant? Compare the t-stat with the coefficient Compare the t-stat with the P-value Check if the coefficent is greater than a critical value. Examine the p-value and/or the t-stat. 2. Suppose you wanted to know if there was a relationship between time spent on the internet and IQ. Which model would make the most sense and what would it look like?...
Simple Linear Regression Problem Simple Linear Regression Problem QUESTION 4 SUMMARY OUTPUT Regression Statistics Multiple R...
Simple Linear Regression Problem
Simple Linear Regression
Problem
QUESTION 4 SUMMARY OUTPUT Regression Statistics Multiple R Squared Adjusted Rsq Standard Error Observations 0.90 0.80 0.79 82.06 19.00 ANOVA MS 467247.5 6733.3 df Regression Residual Total 467247.5 114466.2 581713.7 17 Intercept Age Coefficients St Error 756.26 10.27 30.41 1.23 t Stat 24.87 -8.33 This output was obtained from data on the age of houses (in years) and the associated amount paid in rates (S). Predict the rates paid (in dollars correct...
You were asked by your manager to evaluate the regression tables below to decide which cost driver would be best to use...
You were asked by your manager to evaluate the regression tables below to decide which cost driver would be best to use for the production department. Since your manager is new and does not understand the regression analysis tables, you will need to explain why one set of statistics is better than the other and why you have chosen the better driver. Manufacturing Direct Labor Hours Regression Statistics Multiple R 0.799304258 R Square 0.638887297 Adjusted R Square 0.602776026 Standard Error...
only part II is needed Regardless of your answer to (a), you come up with the following multiple regression model. b. Coefficients: Estimate Std. Error t value Pr>lt (Intercept) 72.2285 1.2697 56....
only part II is needed
Regardless of your answer to (a), you come up with the following multiple regression model. b. Coefficients: Estimate Std. Error t value Pr>lt (Intercept) 72.2285 1.2697 56.89 2e-16 X2 X3 Residual standard error: 7.25 on 191 degrees of freedom Multiple R-squared: 0.494, Adjusted R-squared: 0.489 F-statistic: 93.3 on 2 and 191 DF, p-value: <2e-16 0.4590 0.0524-8.76 1.1e-15 0.4146 0.1290 3.21 0.0015** I) What percentage of the total variation in Life Expectancy can you explain with...
7,10,11
Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.917214 R Square 0.841282 Adjusted R Square 0.821442 Standard Error 9.385572 Observations 10 ANOVA df SS MS Significance F 1 Regression 3735.3060 3735.30600 42.40379 0.000186 8 Residual 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. 9; = 7.542233+0.7309 Xli o b....
18
QueSLIVIT TO Based on the following regression output, what is the equation of the regression line? Regression Statistics Multiple R 0.99313 0.98630 R Square Adjusted R Square Standard Error 0.98238 2.94802 10 Observations ANOVA df SS MS Significance F Regression 4379.182 2189.591 251.943 0.0000 Residual 7 60.836 8.691 9 Total 4440.017 Coefficients Standard Error t Stat P-value Lower 95% 14.169 3.856 3.674 Intercept 0.008 5.050 X Variable 1 0.985 0.114 8.607 0.000 0.714 X Variable 0.995 0.057 17.498 0.000...
The following output is a regression of hourly EARNINGS on HEIGHT. a. Create a 99% confidence interval for the slope coefficient B1 and interpret it. b. Is the slope coefficient on HEIGHT statistically significant at a level of significance of 1%? c. Years of schooling S also affects EARNINGS but has not been added to the regression. Where does the effect of Soccur in this regression output? SUMMARY OUTPUT Regression Statistics Multiple R 0.241124399 R Square 0.058140976 Adjusted R Square...
Simple Linear Regression Problem
Simple Linear Regression
Problem
QUESTION 4 SUMMARY OUTPUT Regression Statistics Multiple R Squared Adjusted Rsq Standard Error Observations 0.90 0.80 0.79 82.06 19.00 ANOVA MS 467247.5 6733.3 df Regression Residual Total 467247.5 114466.2 581713.7 17 Intercept Age Coefficients St Error 756.26 10.27 30.41 1.23 t Stat 24.87 -8.33 This output was obtained from data on the age of houses (in years) and the associated amount paid in rates (S). Predict the rates paid (in dollars correct...
only part II is needed
Regardless of your answer to (a), you come up with the following multiple regression model. b. Coefficients: Estimate Std. Error t value Pr>lt (Intercept) 72.2285 1.2697 56.89 2e-16 X2 X3 Residual standard error: 7.25 on 191 degrees of freedom Multiple R-squared: 0.494, Adjusted R-squared: 0.489 F-statistic: 93.3 on 2 and 191 DF, p-value: <2e-16 0.4590 0.0524-8.76 1.1e-15 0.4146 0.1290 3.21 0.0015** I) What percentage of the total variation in Life Expectancy can you explain with...
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