Which data do you think produce a larger correlation between the weight and the

Question

Which data do you think produce a larger correlation between the weight and the price of diamonds: using a collection of gems of various cuts, colors, and clarities, or a collection of stones that have the same cut, color, and clarity?

Choose the correct answer below.

A.

The correlation is larger among stones of the same cuts, colors and clarities. These factors remove variation around the correlation line. By forcing these to be the same, the pattern is less consistent.

B.

The correlation is larger among stones of the same cuts, colors and clarities. These factors add variation around the correlation line. By forcing these to be the same, the pattern is more consistent.

C.

The correlation is larger among stones of various cuts, colors, and clarities. These factors add variation around the correlation line. By forcing these to be different, the pattern is more consistent.

D.

The correlation is larger among stones of various cuts, colors, and clarities. These factors remove variation around the correlation line. By forcing these to be different, the pattern is less consistent.

Explanation / Answer

in this case the correct option is

B.The correlation is larger among stones of the same cuts, colors and clarities. These factors add variation around the correlation line. By forcing these to be the same, the pattern is more consistent.

since if there is common variation between two variales is same as product of the variations of both the variables, then there is more correlation

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