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To find the equation of the least squares line ÿ = a +bx.

Age Let x be age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For instance, the first data pair says that 5% of all fatal accidents involving 37-year-olds are due to failure to yield the right of way. The Wall Street Journal article referenced in Problem 5 reported the following data:

x

37

47

57

67

77

87

Y

5

8

10

16

30

43

(a) Sketch a scatter diagram displaying the data.

(b) Confirm the given sums Σx, Σy, Σx², Σy², Σxy and the value of the sample correlation coefficient r.

(c) Find x, y, a, and b. Then find the equation of the least squares line ÿ = a +bx.

(d) Graph the least-squares line on your scatter diagram. Be sure to use the point (x, y) as one of the points on the line.

Complete parts (a) through (e), given Σx = 372, Σy = 112, Σx² = 24,814, Σy² = 3194, and Σxy = 8254, and r ≈ -0.943.

(f) Predict percentage of all fatal accidents due to failing to yield the right of way for 70-year-olds.

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M922839

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