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1.In a regression analysis, the error term is a random variable with a mean or expected value of
(A) zero
(B) one
(C) any positive value
(D) any value
Answer :- A
2.If the coefficient of determination is a positive value, then the coefficient of correlation
(A) must also be positive
(B) must be zero
(C) can be either negative or positive
(D) must be larger than 1
Answer :- C
3.The interval estimate of the mean value of y for a given value of x is
(A) prediction interval estimate
(B) confidence interval estimate
(C) average regression
(D) x versus y correlation interval
Answer :- B
4.Larger values of r2 imply that the observations are more closely grouped about the
(A) average value of the independent variables
(B) average value of the dependent variable
(C) least squares line
(D) origin
Answer :- C
5. In a regression analysis, the coefficient of determination is 0.4225. The coefficient of correlation in this situation is
(A) ±0.65
(B) ±0.1785
(C) any positive value
(D) any value
Answer :- A
6.In a regression and correlation analysis if r2 = 1, then
(A) SSE must also be equal to one
(B) SSE must be equal to zero
(C) SSE can be any positive value
(D) SSE must be negative
Answer :- B
7. If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is
(A) 0.80%
(B) 80%
(C) 0.64%
(D) 64%
Answer :- D
8. If the coefficient of determination is equal to 1, then the coefficient of correlation
(A) must also be equal to 1
(B) can be either -1 or +1
(C) can be any value between -1 to +1
(D) must be -1
Answer :- B
9. If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is
(A) 0
(B) 1
(C) either 1 or -1, depending upon whether the relationship is positive or negative
(D) could be any value between -1 and 1
Answer :- B
10.A simple linear regression equation (y = mx + c ) will always pass through the point _____
(A) (0,0)
(B) (1,1)
(C) ( Ymean , Xmean )
(D) (Xmean , Ymean)
Answer :- D