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In: Statistics and Probability

The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample...

  1. The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds.
Assignment

Diameter

Strength

4.2

51

4.4

54

4.6

69

4.8

81

5.0

75

5.2

79

5.4

89

5.6

101

5.8

98

6.0

102
  1. Construct a scatterplot of strength (y) versus diameter (x). Verify that a linear model is appropriate.
  2. Compute the correlation coefficient.
  3. Compute the least-squares line for predicting strength from diameter.
  4. Compute the fitted value and the residual for each point.
  5. If the diameter is increased by 0.3 mm, by how much would you predict the strength to increase or decrease?
  6. Predict the strength for a diameter of 5.5 mm.

Solutions

Expert Solution

orchestra answered 2 years ago
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