21. The the R? and the the s (standard error), the stronger the relationship bet

Question

21. The the R? and the the s (standard error), the stronger the relationship between the dependent variable and the independent variable. A. Higher, lower B. Lower, higher C. Lower, lower D. Higher, higher 22. In simple regression analysis, the quantity that gives the amount by which Y (dependent variable) changes for a unit change in X (independent variable) is called the A. Coefficient of determination B. Slope of the regression line C. Y intercept of the regression line D. Correlation coefficient E. Standard error 23. A simple bivariate regression analysis with 21 observations would yielddeg of freedom error and A. 1, 20 B. 18, 19 C. 19, 20 D. 1, 19 E. 18, 20 degrees of freedom total. 24. The correlation coefficient may assume any value between A. 0 and 1 B.-x and x C. 0 and 8 D. -1 and 1 E. -1 and 0 5. In simple regression analysis, if the correlation coefficient is a positive value, then A. The Y intercept must also be a positive value 3. The coefficient of determination can be either positive or negative, depending on the he slope C. The least squares regression equation could either have a positive or a negative slop D. The slope of the regression line must also be positive E. The standard error of estimate can either have a positive or a negative value

Explanation / Answer

21) There is a linear relationship between R^2 and the standard error. The lower the value of s, we see less of deviations and higher value of R^2 symbolises strong relationship between independent and dependent variable.

Hence , option A is correct.

22)The slope of a linear line is represented by the value of m in the regression formula and is described as the rate of change in Y relative to change in X. This slope is called regression coefficient .

Hence option B is correct.

23)Here degrees of freedom error is n-2 = 21-2 = 19 and degrees of freedom total is n-1 = 21-1 = 20.

Hence option C is correct.

24) Correlation coefficient always assumes values from -1 to 1. Hence option D is correct.

25) Since slope of regression line is often described as the correlation coefficient. Hence its positive value indicates slope must be positive too. Hence option D is correct.

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