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1. A square of fabric, 20 inches on each side, is cut into 10rectangles. The rectangles have average length 4 inches, with an SD of 2 inches. Thewidths have an average of 9 with an SD of 4. Find the correlation of length and width forthese rectangles. Note that length × width (xi × yi) is area and think aboutthe total area of all 10 rectangles.

2. Another square of fabric, 12 inches on each side, is cutinto 6 rectangles. The average length is 4 inches with an SD of 2 inches; the average widthis 5 inches with an SD of 3 inches. Find the correlation between length and width for all16 rectangles described in this problem and the previous problem.

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