Question

A sample of 100 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.239 and the equation of the regression line is y = 18.5 + 0.890x, where x represents height. The mean of the 100 heights is 62.9 in and the mean of the 100 pulse rates is 73.4 beats per minute. Find the best predicted pulse rate of a woman who is 65 in tall. Use a significance level of α=0.01 The best predicted pulse rate of a woman who is 65 in tall is_______beats per minute.. (Round to two decimal places as needed.) Answer

Answer 1

54.07 inches

Explanation:

Given the regression equation :

y = 18.5 + 0.890x

y = pulse rate in beats per minute

x = height

The best predicted pulse rate of a woman who is 65 inches

Put y = 65 in the regression equation :

65 = 18.5 + 0.890x

65 - 18.5 = 0.890x

46.5 = 0.890x

Divide both sides by 0.890

46.5 / 0.890 = 0.890x / 0.890

54.0697 = x

The best predicted pulse rate for a woman wo is 65 inches tall is 54.07 inches