A sample of 100 women is obtained and their heights in inche

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 0.223 and the equation of the regression line is ^y=18.3+0.880x, where x represents height.  The mean of the 100 heights is 63.6 in. and the mean of the 100 pulse rates is 72.5 beats per minute.  Find the best predicted pulse rate of a woman who is 74 in. tall. Use a significance level of a=0.05.

Solution

Everything else in the problem is there to confuse, when it comes to the best estimate.

All you have to do to get the best predicted value is to plug in the value x = 74 into y^ = 18.3 + 0.880x.

Thus,

y^ = 18.3 + 0.880*74

y^ = 83.42 [ANSWER]

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The other givens will be useful when another question is asked.