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 0.271 and the equation of the regression line is 6 = 18.4+0.910x, where x represents height. The mean of the 50 heights is 62.8 in. and the mean of the 50 pulse rates is 75.5 beats per minute. Find the best predicted pulse rate of a woman who is 74 in. tall. Use a significance level of a = 0.01.

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 0.271 and the equation of the regression line is 6 = 18.4+0.910x, where x represents height.  The mean of the 50 heights is 62.8 in. and the mean of the 50 pulse rates is 75.5 beats per minute.  Find the best predicted pulse rate of a woman who is 74 in. tall.  Use a significance level of a = 0.01.