2

The statistical information obtained from a sample of 12 farms on the relationship between the investment and yield in hundreds of thousands of dollars is shown in the following table:

Investment (x) 11 14 16 15 16 18 20 21 14 20 19 11
Yield (y) 2 3 5 6 5 3 7 10 6 10 5 6

Calculate:

1 The regression line of the yield with regard to the investment.

2 The estimated investment needed to obtain a yield of $1,250,000.


xi yi xi ·yi xi2 yi2
11 2 121 4 22
14 3 196 9 42
16 5 256 25 80
15 6 225 36 90
16 5 256 25 80
18 3 324 9 54
20 7 400 49 140
21 10 441 100 210
14 6 196 36 84
20 10 400 100 200
19 5 361 25 95
11 6 121 36 66
195 68 3,297 454 1,163

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Solution

Correlation and Regression Solution