Question

The yield in bushes per acre is related to the average temperature. The attached sample data was obtained in a recent study. The least-square regression equation for yield in bushes and the average temperature is

Region Temperature Yield (in bushes per acre)
1 4 3
2 8 7
3 10 8
4 12 10
5 9 8
6 6 4

Answer 1

y = 0.9143x - 0.8

Explanation:

Given the data :

Region Temperature Yield (in bushes per acre)

4 ______ 3

8 ______ 7

10 _____ 8

12 _____ 10

9 ______ 8

6 ______ 4

Using technology, the least square regression equation obtained by fitting the data is :

y = 0.9143x - 0.8

Where ;

y = predicted Bush yield, predicted variable

x = Average temperature, dependent variable

The slope Coefficient = 0.9143

The intercept = - 0.8