Question
In: Statistics and Probability
A developmental psychologist studying people in their eighties was interested in predicting the overall health, y,...
- 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 |
- Find the correlation coefficient between these two variables.
- Find the equation of the least square line for these data and find the coefficient of determination, r 2 . Show your work.
- Use the equation of the fitted line to predict y for a subject who had 3 close friends.
- Give an interpretation of the coefficient of determination in the context of the problem.
- Calculate the residuals and SSE.
- Draw the residual plot and describe your findings from this plot
Solutions
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