For the data set shown below, complete parts (a) through (d) below.x34578 y4561214(a) Find the estimates of beta 0 and beta 1.beta 0 almost equals 0equalsnothing (Round to three decimal places as needed.)beta 1almost equals 1equalsnothing (Round to three decimal places as needed.)
X: 3,4,5,7,8
Y: 3,6,7,11,13
Solution :
| X | Y | XY | X^2 | Y^2 |
| 3 | 3 | 9 | 9 | 9 |
| 4 | 6 | 24 | 16 | 36 |
| 5 | 7 | 35 | 25 | 49 |
| 7 | 11 | 77 | 49 | 121 |
| 8 | 13 | 104 | 64 | 169 |
| n | 5 |
| sum(XY) | 249.00 |
| sum(X) | 27.00 |
| sum(Y) | 40.00 |
| sum(X^2) | 163.00 |
| sum(Y^2) | 384.00 |
| Numerator | 165.00 |
| Denominator | 165.89 |
| r | 0.9946 |
| r square | 0.9893 |
| Xbar(mean) | 5.4000 |
| Ybar(mean) | 8.0000 |
| SD(X) | 1.8547 |
| SD(Y) | 3.5777 |
| beta1 | 1.919 |
| beta0 | -2.361 |
beta 1 = 1.919
beta 0 = -2.361
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