35. The coefficient of determination can have a value between? a. b. c. d. Zero

Question

35. The coefficient of determination can have a value between? a. b. c. d. Zero and positive one, negative one and positive one, depends on the relationship between X and Y, positive to negative infinity 36. If random variables X and Y have a correlation coefficient equal to .5, then the coefficient of determination for a simple regression of Y on X would be? 37. If random variable X and y are perfectly correlated, then the coefficient of determination for a simple regression of Y on X would be? 38. When conducting simple regression analysis, SST, the total sum of squares represents? d. The unexplained variation in X 39. The correlation coefficient for random variables X and Y provides an estimate for the a. Total variation in the dependent variable (Y)b. Total variation in the independent variable (X) c. The unexplained variation in Y association between X and Y? a. non-linear, b. linear, c. general

Explanation / Answer

35. Coefficient of determination can have value between Zero and positive one because it is the square of correlation it holds the value between 0 and +1

Answer : a

36. As the coefficient of determination is represented by r2, then given coefficent is 0.5

Hence given coefficient of determination of simple regression is 0.5*0.5 = 0.25

Answer:c

37.

As the coefficient of determination is represented by r2, then given coefficent is 1 (As it is perfectly correlated)

Hence given coefficient of determination of simple regression is 1*1=1

nswer:b

38. Answer : c

The total sum of square are unexplained variation of Y while conducting SST

39. Answer : b

Correlation coefficient always provides linera relationship between X and Y

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