Question

In: Statistics and Probability

#1) Consider the following table summarizing the speed limit of a certain road and the number...

#1) Consider the following table summarizing the speed limit of a certain road and the number of accidents occurring on that road in January

Posted Speed Limit

51

48

43

35

22

20

Reported Number of Accidents

25

29

25

17

19

14

a) Find the slope of the regression line predicting the number of accidents from the posted speed limit. Round to 3 decimal places.

b) Find the intercept of the regression line predicting the number of accidents from the posted speed limit. Round to 3 decimal places.

c) Predict the number of reported accidents for a posted speed limit of 43mph. Round to the nearest whole number.

#2) Consider the following:

X

37

60

73

104

124

Y

205

228

170

121

105

a) What is slope of the regression line predicting Y from X, rounded to 2 decimal places?

b) What is the intercept of the regression line predicting Y from X, rounded to 2 decimal places?

c) What is the correlation between X and Y, rounded to 2 decimal places?

Solutions

Expert Solution

1)

a)

slope =0.376

b)

intercept =7.794

c)

predicted value =7.794+0.376*43=23.962 ~24

2)

a) slope =-1.40

b) intercept =276.85

c)correlation coefficient =-0.92


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