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The equation of the regression line between two variables x (independent variabl

ID: 3370114 • Letter: T

Question

The equation of the regression line between two variables x (independent

variable) and y (dependent variable) is given byˆy=-­?3x+2; and thecorrelation coefficient is r=-­?0.95. Which of the following statements are

correct?

I.The variable y is

strongly positively

correlated to the variable x.

II.The variable y is

strongly negatively

correlated to the variable x.

III.If x=5, one would predict y to be 17.

IV.If x=5, one would predict y to be-­?

13.(a)Only I is true

(b)Only II is true

(c)Only II and III are true

(d)Only I and IV are true

(e)Only II and IV are true

Explanation / Answer

Given r= -.95 , that is , strong negative correlation.

Now, if x=5 y= -3*5+2 = -13

Hence,

Only 2 and 4 are correct

Therefore, Option E

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