Question

The correlation between variables x and y is .50. You compute a least-squares regression line with this bivariate data. Which of the following must be true?

The r2 is greater than .50.

The regression constant (or y-intercept) is positive.

The regression coefficient is positive.

The slope of the regression line is negative.

All of the above.

Answer 1

sry but i dont know statistics and linear regression

Answer 2

@jim_thompson5910

Answer 3

"The correlation between variables x and y is .50"

so r = 0.50

what is r^2 equal to?

Answer 4

the answer is A since it is going to be greater than .50

Answer 5

what is the value of r^2

Answer 6

r = 0.50
r^2 = ???

Answer 7

hey sorry for the late reply one sec

Answer 8

.25

Answer 9

is 0.25 larger than 0.50 ?

Answer 10

no

Answer 11

@jim_thompson5910

Answer 12

so choice A is false

Answer 13

that means choice E) All of the above. is also false

Answer 14

is "The slope of the regression line is negative." true?

Answer 15

yes

Answer 16

no, it's false because the value of r is positive

if r is positive, then the slope is positive
if r is negative, then the slope is negative

Answer 17

the sign of r doesn't tell us anything about the y-intercept, so saying "The regression constant (or y-intercept) is positive." is uncertain. It could be true or it could be false. We simply don't know

So in general, "The regression constant (or y-intercept) is positive." is false

Answer 18

the only thing left is " The regression coefficient is positive." and that is definitely true because the regression coefficient is another term for the slope

Answer 19

thnxs!

Answer 20

np