Width vs. Area for Sample Squares 1 2 4 3 9 16 5 25 6 36 7 49 8 64 81 10 100

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 1406.25 144 1190.25 16 Mean: 38.5 870.25 4 SST: 10510.5 506.25 36 SSE: 528 182.25 64 R^2: 0.949765 6.25 110.25 650.25 1806.25 3782.25

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 1406.25 144 1190.25 16 Mean: 38.5 870.25 4 SST: 10510.5 506.25 36 SSE: 528 182.25 64 R^2: 0.949765 6.25 110.25 650.25 1806.25 3782.25 Q: What would regression parameters look like if we had used 10, 20, 30, …, 100 to sample?

width area y-hats residuals SST SSE 1 -11 12 1406.25 144 2 4 1190.25 16 Mean: 38.5 3 9 11 -2 870.25 SST: 10510.5 22 -6 506.25 36 SSE: 528 5 25 33 -8 182.25 64 R^2: 0.949765 6 44 6.25 7 49 55 110.25 8 66 650.25 81 77 1806.25 10 100 88 3782.25