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Width vs. Area for Sample Squares
1 2 4 3 9 16 5 25 6 36 7 49 8 64 81 10 100
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width area y-hats 1 -11 2 4 3 9 11 16 22 5 25 33 6 36 44 7 49 55 8 64 66 81 77 10 100 88 SST SSE 144 16 Mean: 38.5 870.25 4 SST: 506.25 36 SSE: 528 182.25 64 R^2: 6.25 110.25 650.25
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width area y-hats 1 -11 2 4 3 9 11 16 22 5 25 33 6 36 44 7 49 55 8 64 66 81 77 10 100 88 SST SSE 144 16 Mean: 38.5 870.25 4 SST: 506.25 36 SSE: 528 182.25 64 R^2: 6.25 110.25 650.25 Q: What would regression parameters look like if we had used 10, 20, 30, …, 100 to sample?
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width area y-hats residuals SST SSE 1 -11 12 144 2 4 16 Mean: 38.5 3 9 11 -2 870.25 SST: 22 -6 506.25 36 SSE: 528 5 25 33 -8 182.25 64 R^2: 6 44 6.25 7 49 55 110.25 8 66 650.25 81 77 10 100 88
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