A sample of 40 women is obtained and their heights in inches

\"A sample of 40 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The average height was 67.9 inches and the average pulse rate was 85.2 bpm. The linear correlation coefficient is
r =0.802 and the equation of the regression line is
^
y = 18.2 + 0.920x , where x represents height. Find the best predicted pulse rate of a woman who is 70.4 in. tall.   

                                          
                                          

Solution

The regression equation is:

y hat=18.2+0.920x hat

Thus, when x=70.4

then, Y hat=18.2+0.920*70.4

=82.968

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