Interpreting the partial regression coefficients


Assignment:

A safety researcher has measured the speed of automobiles passing his vantage point near an interstate highway. He has also recorded the number of occupants and whether the driver was wearing a seat belt. The data are shown in the following table with seat belt users coded as 1, nonusers as 0. Using a computer statistical package, carry out a multiple regression analysis on these data, interpret the partial regression coefficients, and discuss the results of each significance test.

y = speed (mph):

61

63

55

59

59

52

61

x1 = occupants:

2

1

2

1

3

1

2

x2 = belt usage:

1

1

1

0

0

1

0

y = speed (mph):

51

57

55

54

49

61

73

x1 = occupants:

2

2

2

3

1

1

1

x2 = belt usage:

1

1

1

0

1

1

0

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Basic Statistics: Interpreting the partial regression coefficients
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