Question

A sample of 50 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured. The linear correlation coefficient is 0.291 and the equation of the regression line is ModifyingAbove y with caret equals 18.1 plus 0.930 x​, where x represents height. The mean of the 50 heights is 63.1 in and the mean of the 50 pulse rates is 74.9 beats per minute. Find the best predicted pulse rate of a woman who is 73 in tall. Use a significance level of alpha equals 0.01.

Answer 1

The best predicted pulse rate of a woman who is 73 in tall is 85.99 beats per minute .

Explanation:

Given :The equation of the regression line :
`y= 18.1 +0.930x`

To Find : Find the best predicted pulse rate of a woman who is 73 in tall.

Solution:

`y= 18.1 +0.930x`

y represents the pulse rate

x represents the height

Now we are supposed to find the pulse rate of a woman who is 73 in tall.

So, Substitute x = 73 in equation.

`y= 18.1 +0.930(73)`

`y= 85.99`

So, the best predicted pulse rate of a woman who is 73 in tall is 85.99 beats per minute .