Question: Using the following information, make a prediction for Y, given an X score of 8: Variable X: M = 12, SD = 3 Variable Y:

Using the following information, make a prediction for Y, given an X score of 8:

Variable X: M = 12, SD = 3

Variable Y: M = 74, SD = 18

Pearson correlation of variables X and Y = 0.46

  1. Transform the raw score for the independent variable to a z score.
  2. Calculate the predicted z score for the dependent variable.
  3. Transform the z score for the dependent variable back into a raw score.
  4. Calculate the y intercept, a.
  5. Calculate the slope, b.
  6. Write the equation for the line.
  7. Draw the line on an empty scatterplot, basing the line on predicted Y values for X values of 0, 1, and 18.

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