Question

In: Statistics and Probability

Complete a simple linear regression on the following data from a random survey of a random...

  1. Complete a simple linear regression on the following data from a random survey of a random sample of free throws made out of 100:

Age (in years)          # of Free throws made (out of 100)

20                               30

22                               36

26                               28

28                               20

33                               25

33                               15

38                               10

42                               25

49                               8

54                               15

55                               22

55                               18

57                               35

60                               12

Provide the equation of the linear regression line (3 pts):



Provide the coefficient of correlation (2 pts):


How many would free throws would you expect a 42 year old to make (2 pts):


What is the residual for the 42 year old we sampled (2 pts):


Solutions

Expert Solution

The statistical software output for this problem is :

The equation of the linear regression line is : y = 31.974 - 0.260 X

coefficient of correlation = -0.41

Free throws = 21.06

Residual = 25 - 21.06 = 3.96


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