Question

Linear Regression 5.1 For the following set of data, X Y 5 8 5 9 8 15 4 14 6 17 3 11 a. Compute the Pearson correlation, showing all work, all steps, without using Excel or statistical software. Determine if there is a relationship, what type of relationship it is, and how strong or weak that relationship is, if any relationship exists. b. Find the linear regression equation for predicting Y from X (use the linear regression equation formula #1 from class handout). c. Use the regression equation that you derived (part b above) to compute the predicted Y for each actual value of X. Compare the predicted Y scores to the actual Y scores. Why is there a difference between the predicted Y values and the actual Y values? How do you explain this difference?

          Linear Regression
5.1 For the following set of data,
X
Y
5
8
5
9
8
15
4
14
6
17
3
11
a. Compute the Pearson correlation, showing all work, all steps, without
using Excel or statistical software. Determine if there is a relationship,
what type of relationship it is, and how strong or weak that relationship
is, if any relationship exists.
b. Find the linear regression equation for predicting Y from X (use the linear
regression equation formula #1 from class handout).
c. Use the regression equation that you derived (part b above) to compute
the predicted Y for each actual value of X. Compare the predicted Y
scores to the actual Y scores. Why is there a difference between the
predicted Y values and the actual Y values? How do you explain this
difference?

Linear Regression
5.1 For the following set of data,
X
Y
5
8
5
9
8
15
4
14
6
17
3
11
a. Compute the Pearson correlation, showing all work, all steps, without
using Excel or statistical software. Determine if there is a relationship,
what type of relationship it is, and how strong or weak that relationship
is, if any relationship exists.
b. Find the linear regression equation for predicting Y from X (use the linear
regression equation formula #1 from class handout).
c. Use the regression equation that you derived (part b above) to compute
the predicted Y for each actual value of X. Compare the predicted Y
scores to the actual Y scores. Why is there a difference between the
predicted Y values and the actual Y values? How do you explain this
difference?

Added by Anna C.

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