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1. 2. (Using Question1), also calculate exactly what the combined correlation wo

ID: 3124544 • Letter: 1

Question

1.

2. (Using Question1), also calculate exactly what the combined correlation would be with 100 men and 100 women.

An investigator collected data on heights and weights of college students; results can be summarized as follows. Average SD Men's height70 inches3 inches Men's weight144 pounds 21 pounds 3 inches 21 pounds Women's height Wome 64 inches 120 pounds n's weight The correlation coefficient between height and weight for the men was about 0.60; for the women, it was about the same. If you take the men and women together, the correlation between height and weight would be just about 0.60 somewhat lower somewhat higher Choose one option, and explain briefly

Explanation / Answer

a) If you take men and woment together, the correlation coefficient between height and weight would be somewhat lower.

Since the proportion of women's height w.r.t women's weights is low as compare to the proportion of men's height w.r.t men's weight.

b) We can't calculate combined correlation coefficient with the given information.

If we know the original raw data (xi,yi) values then the data values are substituting in the formula(in image) and then calculate combined correlation coefficient.

From the given information, summation xiyi value is given which is need to in image formula.