Mark the statement below true or false. If you believe that a statement is false

Question

Mark the statement below true or false. If you believe that a statement is false, briefly say why you think it is false.

A retailer calculated the correlation line between the price of an item (x) and the amount sold (y). The correlation line is the same if the x and y variables are exchanged.

Choose the correct answer below.

A.

The statement is true.

B.

The statement is false. The slope of the correlation line will change, but the intercept will not change.

C.

The statement is false. The slope and intercept of the correlation line will both change.

D.

The statement is false. The intercept of the correlation line will change, but the slope will not change.

Explanation / Answer

C.

The statement is false. The slope and intercept of the correlation line will both change.

(The form of the equation say now is y = mx +c slope = m intercept = c

on rearranging we get

x = 1/m y + c/m

now let x = y' and y=x'

so y' = 1/m + 1/mc slope = 1/m intercept = c/m

hence they are not the same)

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