Question 26 26. (2 Points) The yield in bushes per acre is related to the averag

Question

Question 26

26. (2 Points)

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

Explanation / Answer

The regression equation is Yield = -0.8 + 0.9143(Temperature)

Regression Analysis r² 0.966 n   6 r   0.983 k   1 Std. Error   0.548 Dep. Var. Yield ANOVA table Source SS   df   MS F p-value Regression 34.1333 1   34.1333 113.78 .0004 Residual 1.2000 4   0.3000 Total 35.3333 5   Regression output confidence interval variables coefficients std. error    t (df=4) p-value 95% lower 95% upper std. coeff. Intercept -0.8000 0.000 Temperature 0.9143 0.0857 10.667 .0004 0.6763 1.1523 0.983

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