Question

The correlation between height and weight among men age 18-74 in the U.S. is about 0.40. Say whether each conclusion below follows from the data; explain your answer. a) Taller men tend to be heavier. b) The correlation between weight and height for men age 18-74 is about 0.40. c) Heavier men tend to be taller. d) If someone eats more and puts on 10 pounds, he is likely to get somewhat taller.

Answer 1

Options a, b, c are correct.

Explanation:

First let's see the equation that governs the statement, which is the following:

`r = (cov (x, y))/(√(var(x) var (y)) )`

Therefore, reading options a, b, c are correct.

Since from the formula we have the correlation coefficient of two variables x and y and here it shows us the correlation between x, y and y, x is the same.

This means that the 0.4 correlation implies a moderate but positive relationship between the two variables.

that is, the highest or lowest value of one variable implies a highest or lowest value of the other variable, respectively.