Research

Regression Analysis

Task 1

Management of a soft-drink bottling company wants to develop a method for allocating delivery costs to customers. Although one cost clearly relates to travel time within a particular route another variable cost reflects the time required to unload the cases of soft-drinks at the delivery point. A sample of 20 deliveries within a territory was selected.

1) Find the regression equation, using following data:

|ANOVA | | | | |

|  |df |SS |MS |F |

|Regression |1 |2443,466 |2443,466 |619,1956 |

|Errors |18 |71,03149 |3,946194 | |

|Total |19 |2514,498 |  |  |

| | | | | |

|  |Coefficients |Standard Error |T-stat |P-value |

|Y-intercept |24,83453095 |1,054219 |23,55729 |5,61E-15 |

|Number of cases |0,140026304 |0,005627 |24,88364 |2,15E-15 |

2) Interpret the meaning of [pic] and [pic] in this problem.

3) Predict the delivery time for 150 cases of soft drinks.

4) Determine the coefficient of determination and explain it in this problem.

5) Construct a 95% confident interval estimate of the mean delivery time for 150 cases of soft drink.

Task 2

Measuring the height of California redwood tree is a very difficult undertaking because these trees grow to heights over 300 feet. But the height is related with the diameter of the tree and the thickness of the bark of the tree.

1) State the...