E. The best-fit regression line to predict Y when you know X will always go thro
ID: 3174326 • Letter: E
Question
E. The best-fit regression line to predict Y when you know X will always go through the point Z_X = 0 and Z_Y = 0. F. If a positive correlation exists between X and Y, and the range of X is then greatly restricted, |r| must increase. G. If a positive correlation exists between X and Y, and a new data point is added whose Z_X = 3 and Z_Y = 0, the correlation will decrease. H. If no correlation exists between X and Y, and a new data point is added whose Z_X = 2.5 and Z_Y = 2.5, r will increase. I. If a negative but imperfect correlation exists between X and Y, and a new data point is added whose Z_X = 2.5 and Z_Y = 2.5, |r| will decrease. J. In correlation, reverse-scoring the X variable by multiplying each z score by -1 (so that originally high scores on X are now low, and originally low scores on X are now high) will not change the value of r^2.Explanation / Answer
E. False, Not necessarily, since a line with intercept can also be a best fit regression equation
F. True, since |r| approaches to 1 forpositive correlation
G. False,Not necessarily it should decrease as the datapoints are large enough
H. No, It will remain same
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