AssignmentMiles Deliveries Time 100 50 100 100 50 80 75 65 90 90 4 9.3 4.8 8.9 6

Question

AssignmentMiles Deliveries Time 100 50 100 100 50 80 75 65 90 90 4 9.3 4.8 8.9 6.5 4.2 6.2 7.4 6 7.6 6.1 4 4 5 6 3 4 10 Timets the dependent variable Miles and Deliveries are the independent variables Q1: What is the regression line? Interpret the line and the coefficients 02: Are the independent variables significant? Explain Q3: Is the regression overall significant? Explain Q4: How much variation is explained? Explain this value? Q5: What is the standard deviation of the regression equation? Explain

Explanation / Answer

1) time^ = -0.868701467 + 0.0611134599*miles + 0.923425367*deleiveries

2) p-value of miles is 0.00045 < 0.05

and that of deliveries = 0.0041566<0.05

hence both variables are significant

3) since significance F = 0.00027624 < 0.05

the overall model is significant

4)

variation is explained by R^2 = 0.903788975

5) sd(Y^) = sqrt(SST/(n-2)) = sqrt(23.9/8)) =1.7284386

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