STA3032 Quiz 10 solutions

# STA3032 Quiz 10 solutions - STA3032 QUIZ 10 Solutions...

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STA3032 QUIZ 10 Solutions Spring 2011 Problem 8 on page 537 (Changed a lot) The following table presents shear strength (in kN/mm) and weld diameters (in mm) for a sample of spot welds: Diameter 4.2 4.4 4.6 4.8 5.0 5.2 5.4 5.6 5.8 6.0 Strength 51 54 69 81 75 79 89 101 98 102 1. A scatter diagram of the sample data is given below. What can you say about the relation between the two variables? The observed data seem to indicate a strong, increasing linear relationship between shear strength and weld diameter. 6.0 5.5 5.0 4.5 4.0 100 90 80 70 60 50 Diameter Strength Scatterplot of Strength vs Diameter 2. The sample data yielded the following ANOVA table. Fill the empty cells in the table. Analysis of Variance Source DF SS MS F P Regressio n P = 1 2763.7 2763.7/1 = 2763.7 2763.7/ 28.9 = 95.63 0.000 Residual (Error) n-p-1 = 8 2994.9 -2763.7 =231.2 231.2/8 = 28.9 - - Total n–1 = 9 2994.9 - - -

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3. Use the following output to test Ho: β = 0 vs. Ha: β ≠ 0. What is the conclusion of the test? Predictor
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STA3032 Quiz 10 solutions - STA3032 QUIZ 10 Solutions...

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