We know that, coefficient of determination measure the proportion of variability in dependent variable which is estimated by independent variable.
Here,
The proportion of the variance in the dependent variable y that is explained by the estimated regression equation is measured by coefficient of determination.
so, option (b) is correct.
The proportion of the variation in the dependent variable y that is explained by the estimated...
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%
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%
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 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...
Part A Run a regression on the following dataset. What proportion of the variation in Y is explained by the regression? Also, what is the standard error of the estimate? X Y 262 14,041 319 16,953 361 18,984 381 19,870 405 20,953 439 22,538 472 23,985 508 25,641 547 27,365 592 29,967 a. 99.95%, 24,446.06 b. 99.95%; 0.5042 c. 99.91%; 195,568.50 d. 99.91%; 156.35 e. None of the above Part B Which of the following statements is correct? a. Based...
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...
Q.30 Run a regression on the following dataset. What proportion of the variation in Y is explained by the regression? Also, what is the standard error of the estimate? X Y 262 14,041 319 16,953 361 18,984 381 19,870 405 20,953 439 22,538 472 23,985 508 25,641 547 27,365 592 29,967 a. 99.95%, 24,446.06 b. 99.95%; 0.5042 c. 99.91%; 195,568.50 d. 99.91%; 156.35 e. None of the above Which of the following statements is correct? a. Based on the F...
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...
game thory ,hst the cofficien of ltemination cqual? A) 0.1945 B) 0.4225 C) 0.5778 D) 0.8061 45. The hypothesis to test the slope of a regression equation is Ho: a 0 TRUE FALSE 46. The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y TRUE FALSE 47. The regression equation is used to estimate a value of the dependent variable Y based ona selected value...