The equation of regression line between the variables x , and y is given by y=-3

Question

The equation of regression line between the variables x, and y is given by y=-3x+2 and the correlation coefficient is calculated to be r = -0.95. Coefficient of determination r2 = 0.9025. Which of the following statement(s) is (are) correct? ˆ 32 yx

1. The linear relationship between x and y is positive.

2. 90.25% of the variation in y can be explained by linear relation between x and y.

3. If x increase 1 unit, then y will increase 3 units

4. If x = 5, one would predict that y = -13.

a. Only 1 is true

b. Only 2, 3 and 4 are true

c. Only 2 and 4 are true

d. Only 1 and 4 are true

e. Only 2 and 3 are true

Explanation / Answer

Here r is negative so negative correlation and as x increase by 1 unit, then y will decrease 3 units

Further r^2 gives % of the variation in y can be explained by linear relation between x and y. and when we put x=5, we get y=-13.

Hence answer is

d. Only 1 and 4 are true

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