Describe the coefficient of determination

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Reference no: EM1345826

Directions: Make sure t show all work for full credit.

1. Below you are given a partial computer output based on a sample of 5 observations, relating an independent variable
(x) and a dependent variable (y).

Predictor Coefficient Standard Error Test Stat
Constant (b0) 5.60 2.40 (1)
X (b1) -1.80 0.60 (2)
Analysis of Variance

SS df Mean Square F
Regression (3) (4) (7) (9)
Error 41.674 (5) (8)
Total 71.875 (6)

a. On your answer sheet fill in all the values for the charts above (1-9). Make sure to show your work.

b. Develop the estimated regression line.

c. At α = 0.05, test for the significance of the slope. Note: that the critical value is 3.142.

d. At α = 0.05, perform an F test. Note: that the critical value is 4.32.

e. Describe the coefficient of determination.

f. Suppose if you were given that the independent variable was 5, what would the predicted value be? Show your work.

g. Plot your regression equation.

Reference no: EM1345826

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