Skodel Ltd employs a local transport company to deliver beers to local supermarkets. To develop better work schedules, the managers want to estimate the total daily travel time for their drivers’ journeys. Initially the managers believed that the total daily travel time would be closely related to the number of miles travelled in making the daily deliveries.

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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Section8.4: Cicumference And Area Of A Cicle
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Skodel Ltd employs a local transport company to deliver beers to local supermarkets. To develop better work schedules, the managers want to estimate the total daily travel time for their drivers’ journeys. Initially the managers believed that the total daily travel time would be closely related to the number of miles travelled in making the daily deliveries.

DriverMiles Travelled, xTravel time                                                    (hours), y

 1                      100                9.3

 2                        50                4.8

  3                      100                8.9

  4                      100                6.5

  5                      50                  4.2

 6                      80                    6.2

 7                      75                    7.4

8                      65                      6

9                      90                    7.6

10                    90                    6.1

11                    85                    7.4

12                    62                    6.4

13                    98                    8.4

14                    58                    4.9

15                    73                    6.8

16                    81                    7.8

17                    66                    6.2

18                    72                    7.3

19                    53                    4.4

20                    56                    4.6

a. Plot a scatter plot and comment on a possible relationship between travel time and miles travelled.
b. State the least squares regression model equation.
c. Comment on model reliability (r).
d. Is the independent variable significant, (F or t test)?

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