Problem 8E

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

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 |

a. Construct a scatterplot of strength (y) versus diameter (x). Verify that a linear model is appropriate.

b. Compute the least-squares line for predicting strength from diameter.

c. Compute the fitted value and the residual for each point.

d. If the diameter is increased by 0.3 mm, by how much would you predict the strength to increase or decrease?

e. Predict the strength for a diameter of 5.5 mm.

f. Can the least-squares line be used to predict the strength for a diameter of 8 mm? If so, predict the strength. If not, explain why not.

g. For what diameter would you predict a strength of 95 kN/mm?

Leslie Ogu ORSC 1109 03/09/2016 Power, Control, Leadership Leadership (Recap) ● Traits ● Behaviors ● Situations ● Problem Solving ● Influence Management ● People who are in charge at lower levels of the organization tend to be more taskoriented and as you go higher, people tend to look further out ● As you move up, you move more away from the task, you think more further out, and you start thinking more longterm ○ Things That Change: ■ Actions ■ Time ■ Effectiveness Conflict ● Not all bad ● Managing it ● Not linear ○ It is not the case that the more conflict you get