I have attached the Pearson’s data below 5. Recall the father son height data (P

Question

I have attached the Pearson’s data below 5. Recall the father son height data (Pearson's data) that we saw in class during the regression review. The average height of the fathers in this dataset was 67.7 inches, and the SD of the fathers' height was 2.74 inches. The average height of the sons was 68.7 inches and the SD was 2.81 inches. The correlation between the heights of the fathers and the sons was 0.501. As- sume that these data are bivariate normal. That is, if you fix one of the values, say father's height at 70 inches, then the dis- tribution of the sons' heights (conditioned on this height for the father) will be normally distributed. True or false: because the sons average an inch taller than the fathers, if the father is 72 inches tall, it's 50-50 whether the son is taller than 73 nches

Explanation / Answer

There is correlation between father's height and son's height is 0.501. That is there is positive correlation between father's height and son's height. So as the fathr's hight increases , son's height is also increases .

So if the father's hight normally distributed , then son's hight will also normally distributed .

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