In: Math
Please Estimate the regression line for the model. The two data sets are below. Thanks.
Unemployment | Inflation |
4.0 | 3.0 |
4.1 | 4.1 |
4.0 | 5.9 |
3.8 | -0.6 |
4.0 | 1.8 |
4.0 | 5.8 |
4.0 | 2.9 |
4.1 | 0.0 |
3.9 | 5.2 |
3.9 | 1.7 |
3.9 | 1.7 |
3.9 | 2.3 |
4.2 | 5.7 |
4.2 | 2.3 |
4.3 | 0.6 |
4.4 | 1.7 |
4.3 | 5.1 |
4.5 | 2.3 |
4.6 | -1.7 |
4.9 | 0.0 |
5.0 | 4.0 |
5.3 | -2.8 |
5.5 | -0.6 |
5.7 | -0.6 |
5.7 | 1.7 |
5.7 | 1.7 |
5.7 | 3.4 |
5.9 | 3.9 |
5.8 | 0.6 |
5.8 | 1.1 |
5.8 | 2.2 |
5.7 | 2.8 |
5.7 | 1.7 |
5.7 | 2.2 |
5.9 | 1.7 |
6.0 | 1.1 |
5.8 | 3.3 |
5.9 | 5.5 |
5.9 | 4.4 |
6.0 | -4.4 |
6.1 | -0.6 |
6.3 | 1.1 |
6.2 | 2.2 |
6.1 | 3.8 |
6.1 | 2.7 |
6.0 | -0.5 |
5.9 | -1.1 |
5.7 | 2.2 |
5.7 | 4.3 |
5.6 | 3.2 |
5.7 | 4.3 |
5.5 | 1.1 |
5.6 | 5.9 |
5.6 | 3.2 |
5.5 | 0.0 |
5.4 | 1.1 |
5.4 | 1.6 |
5.4 | 5.8 |
5.4 | 2.1 |
5.4 | 0.0 |
5.2 | 1.1 |
5.4 | 3.7 |
5.1 | 5.7 |
5.1 | 4.7 |
5.1 | -0.5 |
5.0 | -0.5 |
5.0 | 6.2 |
4.9 | 5.6 |
5.1 | 12.2 |
4.9 | 2.5 |
5.0 | -6.5 |
4.9 | -0.5 |
Unemployment ( X ) |
Inflation ( Y ) | X * Y | X^2 | |
4 | 3 | 12 | 16 | |
4.1 | 4.1 | 16.81 | 16.81 | |
4 | 5.9 | 23.6 | 16 | |
3.8 | -0.6 | -2.28 | 14.44 | |
4 | 1.8 | 7.2 | 16 | |
4 | 5.8 | 23.2 | 16 | |
4 | 2.9 | 11.6 | 16 | |
4.1 | 0 | 0 | 16.81 | |
3.9 | 5.2 | 20.28 | 15.21 | |
3.9 | 1.7 | 6.63 | 15.21 | |
3.9 | 1.7 | 6.63 | 15.21 | |
3.9 | 2.3 | 8.97 | 15.21 | |
4.2 | 5.7 | 23.94 | 17.64 | |
4.2 | 2.3 | 9.66 | 17.64 | |
4.3 | 0.6 | 2.58 | 18.49 | |
4.4 | 1.7 | 7.48 | 19.36 | |
4.3 | 5.1 | 21.93 | 18.49 | |
4.5 | 2.3 | 10.35 | 20.25 | |
4.6 | -1.7 | -7.82 | 21.16 | |
4.9 | 0 | 0 | 24.01 | |
5 | 4 | 20 | 25 | |
5.3 | -2.8 | -14.84 | 28.09 | |
5.5 | -0.6 | -3.3 | 30.25 | |
5.7 | -0.6 | -3.42 | 32.49 | |
5.7 | 1.7 | 9.69 | 32.49 | |
5.7 | 1.7 | 9.69 | 32.49 | |
5.7 | 3.4 | 19.38 | 32.49 | |
5.9 | 3.9 | 23.01 | 34.81 | |
5.8 | 0.6 | 3.48 | 33.64 | |
5.8 | 1.1 | 6.38 | 33.64 | |
5.8 | 2.2 | 12.76 | 33.64 | |
5.7 | 2.8 | 15.96 | 32.49 | |
5.7 | 1.7 | 9.69 | 32.49 | |
5.7 | 2.2 | 12.54 | 32.49 | |
5.9 | 1.7 | 10.03 | 34.81 | |
6 | 1.1 | 6.6 | 36 | |
5.8 | 3.3 | 19.14 | 33.64 | |
5.9 | 5.5 | 32.45 | 34.81 | |
5.9 | 4.4 | 25.96 | 34.81 | |
6 | -4.4 | -26.4 | 36 | |
6.1 | -0.6 | -3.66 | 37.21 | |
6.3 | 1.1 | 6.93 | 39.69 | |
6.2 | 2.2 | 13.64 | 38.44 | |
6.1 | 3.8 | 23.18 | 37.21 | |
6.1 | 2.7 | 16.47 | 37.21 | |
6 | -0.5 | -3 | 36 | |
5.9 | -1.1 | -6.49 | 34.81 | |
5.7 | 2.2 | 12.54 | 32.49 | |
5.7 | 4.3 | 24.51 | 32.49 | |
5.6 | 3.2 | 17.92 | 31.36 | |
5.7 | 4.3 | 24.51 | 32.49 | |
5.5 | 1.1 | 6.05 | 30.25 | |
5.6 | 5.9 | 33.04 | 31.36 | |
5.6 | 3.2 | 17.92 | 31.36 | |
5.5 | 0 | 0 | 30.25 | |
5.4 | 1.1 | 5.94 | 29.16 | |
5.4 | 1.6 | 8.64 | 29.16 | |
5.4 | 5.8 | 31.32 | 29.16 | |
5.4 | 2.1 | 11.34 | 29.16 | |
5.4 | 0 | 0 | 29.16 | |
5.2 | 1.1 | 5.72 | 27.04 | |
5.4 | 3.7 | 19.98 | 29.16 | |
5.1 | 5.7 | 29.07 | 26.01 | |
5.1 | 4.7 | 23.97 | 26.01 | |
5.1 | -0.5 | -2.55 | 26.01 | |
5 | -0.5 | -2.5 | 25 | |
5 | 6.2 | 31 | 25 | |
4.9 | 5.6 | 27.44 | 24.01 | |
5.1 | 12.2 | 62.22 | 26.01 | |
4.9 | 2.5 | 12.25 | 24.01 | |
5 | -6.5 | -32.5 | 25 | |
4.9 | -0.5 | -2.45 | 24.01 | |
Total | 372.8 | 158.8 | 804.01 | 1968.2 |
The equation of regression line is
The equation of regression line becomes