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What is the slope of the least squares line

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Question: Recently, the annual number of driver deaths per 100,000 for the selected age groups was as follows:

Age         Number of driver Deaths per 100,000

17.5                            38

22                               36

29.5                             24

44.5                             20

64.5                             18

80                                28

a. For each age group, pick the midpoint of the interval for the x value. (For the 75+ group, use 80.)

b. Using "ages" as the independent variable and "Number of driver deaths per 100,000" as the dependent variable, make a scatter plot of the data.

c. Calculate the least squares (best-fit) line. Put the equation in the form of: y = a + bx

d. Find the correlation coefficient. Is it significant?

e. Predict the number of deaths for ages 40 and 60.

f. Based on the given data, is there a linear relationship between age of a driver and driver fatality rate?

g. What is the slope of the least squares (best-fit) line? Interpret the slope.

Reference no: EM131668017

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