(b) |
Use the formulas to calculate the slope and intercept. (Round your answers to 3 decimal places.) |
b1 | 6.02 |
b0 | 55.178 |
(c) |
Use your estimated slope and intercept to make a worksheet to calculate SSE, SSR, and SST. (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations, but final answers should be rounded to 3 decimal places.) |
Hours Worked (xi) |
Weekly Pay (yi) |
Estimated Pay (yˆi)(y^i) |
yi−yiˆyi−yi^ | (yi−yˆi)2(yi−y^i)2 | (yˆi−y⎯⎯)2(y^i−y¯)2 | (yi−y⎯⎯)2(yi−y¯)2 |
13 | 90 | |||||
18 | 181 | |||||
17 | 216 | |||||
22 | 157 | |||||
37 | 276 | |||||
x⎯⎯x¯ | 21.4 |
y⎯⎯y¯ | 184 |
SSE | |
SSR | |
SST | |
(d) | Calculate the R2. (Round your answer to 4 decimal places.) |
R2 |
xi | yi | yi^ | yi-yi^ | (yi-yi^)^2 | (yi^-yibar)^2 | (yi-ybar)^2 | |
13 | 90 | 133.438 | -43.438 | 1886.86 | 2556.515844 | 8836 | |
18 | 181 | 163.538 | 17.462 | 304.9214 | 418.693444 | 9 | |
17 | 216 | 157.518 | 58.482 | 3420.144 | 701.296324 | 1024 | |
22 | 157 | 187.618 | -30.618 | 937.4619 | 13.089924 | 729 | |
37 | 276 | 277.918 | -1.918 | 3.678724 | 8820.590724 | 8464 | |
Sum= | 107 | 920 | 920.03 | -0.03 | 6553.066 | 12510.18626 | 19062 |
Mean= | 21.4 | 184 |
|
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