Question

In: Statistics and Probability

A developmental psychologist studying people in their eighties was interested in predicting the overall health, y,...

  1. A developmental psychologist studying people in their eighties was interested in predicting the overall health, y, using the number of very close friends, x. The scores for six research participants follow.

Subject

x

y

1

2

41

2

4

72

3

0

37

4

3

84

5

2

52

6

1

49

  1. Find the correlation coefficient between these two variables.
  2. Find the equation of the least square line for these data and find the coefficient of determination, r 2 . Show your work.
  3. Use the equation of the fitted line to predict y for a subject who had 3 close friends.
  4. Give an interpretation of the coefficient of determination in the context of the problem.
  5. Calculate the residuals and SSE.
  6. Draw the residual plot and describe your findings from this plot

Solutions

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