The__________________ measures the percentage of total variation in the response variable that is explained by the...
The__________________ measures the percentage of total variation
in the response variable that is
explained by the least squares regression line
Group of answer choices
Coefficient of linear correlation
Coefficient of determination
Slope of the regression line
Sum of the residuals squared
Homework Answers
The Coefficient of determination calculates the variation in dependent or response variable due to independent variables
The correct answer is
The Coefficient of determination measures the percentage of total variation in the response variable
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The__________________ measures the percentage of total variation
in the response variable that is
explained by the...
Finding Measures of variation. In Exercises find the (a) explained variation (b) unexplained variation, (c) total...
Finding Measures of variation. In Exercises find the (a) explained variation (b) unexplained variation, (c) total variation, (d) coefficient of determination, and (e) standard error of estimate se. In each case, there is a significant linear correlation so that it is reasonable to use the regression equation when making predictions.Cholesterol and BMI Refer to the paired cholesterol/BMI data for women as listed in Data Set 1 in Appendix B. (Let x represent the cholesterol levels.)
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...
If the coefficient of correlation is 0.65, the percentage of variation in the dependent variable explained...
If the coefficient of correlation is 0.65, the percentage of variation in the dependent variable explained by the estimated regression equation is a. 0.65% b. 80% c. 0.42% d. 42.2%
If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is
If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is a. 0.80% b. 80% c. 0.64% d. 64%
The proportion of the variation in the dependent variable y that is explained by the estimated...
The proportion of the variation in the dependent variable y that is explained by the estimated regression equation is measured by the _____. a. correlation coefficient b. coefficient of determination c. confidence interval estimate d. standard error of t
The coefficient of determination R2 in a simple regression model, Group of answer choices a) measures...
The coefficient of determination R2 in a simple regression model, Group of answer choices a) measures the proportion of variation in the response variable that is explained by the predictor variable b) determines the predicted value of the response variable given a value for the predictor variable c) estimates the difference between averages in the response variable when the predictor variable differs by 1 d) indicates the predictive ability of the model
The data shown below for the dependent variable, y, and the independent variable, x, have been...
The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 10 15 11 19 18 17 5 17 18 y 9070 30 8020 30 5060 40 40 a. Develop a simple linear regression equation for these data. b. Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination c. Calculate the standard error of the estimate. d. Calculate the standard error for...
The correlation coefficient is a summary measure that Select one: a. is of limited use because...
The correlation coefficient is a summary measure that Select one: a. is of limited use because it fails to indicate the direction of the relationship between the variables. b. indicates the change in Y for a one unit change in X. c. indicates the strength of linear relationship between a pair of quantitative variables. d. indicates the proportion of variation in Y that is explained by the variation in X. e. none of the above. In regression analysis, the F...
Which of the following statements must be true, if the explained sum of squares is 83.6?The...
Which of the following statements must be true, if the explained sum of squares is 83.6?The correlation coefficient is 0.95The slope of the regression line is positive.The unexplained sum of squares is larger than or equal to 83.6The total sum of squares is always larger than to 83.6None of the suggested answers are correct.
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Squa...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Square 0.685847574 0.607309468 Adjusted R Square Standerd Error Predicted Tip 15e 100 ANOVA 0.041756749 93.1383292 42.66200414 135.8003333 93 1383292 10.60550103 8.732672652 Total Upper 95% tener 95% Prok 0933934844 0.041756749 Error 10.58103503 0.288243157 1.27559337 0.008985139 0.347279172 0.148614148 3.936081495 0.050290571 -0.06822967 2.955109584 Bitl (e) Positive correlation of 0.83 -strong corlation. Percentage of...
The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 10 15 11 19 18 17 5 17 18 y 9070 30 8020 30 5060 40 40 a. Develop a simple linear regression equation for these data. b. Calculate the sum of squared residuals, the total sum of squares, and the coefficient of determination c. Calculate the standard error of the estimate. d. Calculate the standard error for...
Consider the following Excel regression output of Data Analysis (picture is autornaic) SUMMARY OUTPUT six data points on a restaurant bill and corresponding tip Bill Line Fit Plot 0.828159148 R Square 0.685847574 0.607309468 Adjusted R Square Standerd Error Predicted Tip 15e 100 ANOVA 0.041756749 93.1383292 42.66200414 135.8003333 93 1383292 10.60550103 8.732672652 Total Upper 95% tener 95% Prok 0933934844 0.041756749 Error 10.58103503 0.288243157 1.27559337 0.008985139 0.347279172 0.148614148 3.936081495 0.050290571 -0.06822967 2.955109584 Bitl (e) Positive correlation of 0.83 -strong corlation. Percentage of...
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