In: Statistics and Probability
| x | 1 | 2 | 3 | 4 | 5 | 6 | 
|---|---|---|---|---|---|---|
| y | 1057 | 1510 | 2151 | 3499 | 5146 | 7261 | 
Use linear regression to find the equation for the linear
function that best fits this data. Round to two decimal
places.
Y=
| X | Y | XY | X^2 | Y^2 | 
| 1 | 1057 | 1057 | 1 | 1117249 | 
| 2 | 1510 | 3020 | 4 | 2280100 | 
| 3 | 2115 | 6345 | 9 | 4473225 | 
| 4 | 3499 | 13996 | 16 | 12243001 | 
| 5 | 5146 | 25730 | 25 | 26481316 | 
| 6 | 7261 | 43566 | 36 | 52722121 | 
| n | 6 | 
| sum(XY) | 93822.00 | 
| sum(X) | 21.00 | 
| sum(Y) | 20624.00 | 
| sum(X^2) | 91.00 | 
| sum(Y^2) | 99470588.00 | 
| Numerator | 129828.00 | 
| Denominator | 134181.91 | 
| r | 0.9676 | 
| r square | 0.9362 | 
| Xbar(mean) | 3.5000 | 
| Ybar(mean) | 3437.3333 | 
| SD(X) | 1.7078 | 
| SD(Y) | 2182.4690 | 
| b | 1236.4571 | 
| a | -890.2667 | 


y = -890.27 + 1236.46x