correlation, simple question reading, increase, question, positive, different

bcp901

book 1 page282-283 reading 11

"an increase of one unit in A is associated with exactly the same half-unit increase in B, regardless of the level of A. Even if the slope of the line in the figure were different (but positive), the correlation between the two variables would be 1 as long as all the points lie on that straight line."

sorry asking for such silly question, but i really have no idea on "an increase of one unit in A is associated with exactly the same half - unit increase in B"

i remember i saw this question in FinQuiz too

anyone can help ? thank you very much

yospaghetti

A 1 2 3 4
B 0.5 1 1.5 2

an increase in A of 1 unit is associated with a 0.5 (one Half) increase in B.

CP

lucasg85

thanks cpk, so is it for the 2nd one , the correlation would be 1 too?

mengxu

if both series A and series B increase - correlation would be +1.

CP

flyinggirl

so the rate of increase related to regression coefficient
we just know +1 is an absolute proportion increase

thank you~