A sample of 70 women is obtained, and their heights (in inches) and pulse rates
ID: 3252714 • Letter: A
Question
A sample of 70 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.224 and the equation of the regression line is y = 18.1 + 0.880x, where x represents height The mean of 1 the 70 heights is 62.9 in and the mean of the 70 pulse rates is 72.7 beats per minute. Find the best predicted pulse rate of a woman who is 65 in tall. Use a significance level of alpha = 0.01. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted pulse rate of a woman who is 65 tall is beats per minute. (Type an integer or decimal rounded to two decimal places as needed.)Explanation / Answer
Solution:
Given regression equation is
= 18.1 + 0.880x, where x represent height.
If the height, x = 65 inches.
The predicted rate of pulse is = 18.1 + 0.880( 65) = 75.3
Thus, the best predicted pulse rate of woman who is 65 inches tall is 75.3 beats per minutes.