Ed230B/C

Ed230B Assignment #1 - Simple Regression

Part I: Consider the following results from a set of data containing 100 pairs of observations:

Midterm (X)Final (Y)
MeanXbar=30Ybar=100
Standard Deviationsx=3.5sy=10
Correlation Coefficientrxy=0.65

From the information given above compute the following, showing all formulas and work:

Part II: Run a simple regression on the computer using the file data.reg1 or in Stata

  1. Circle and label each of the terms computed in Part I. Calculate and list any term you cannot find in the computer output.
  2. Plot standardized residuals. Indicate outliers, if any.
  3. Produce each of the following bivariate scatter plots (vertical axis listed first):
    Include your comments for each of these plots with respect to possible violations of assumptions.
    1. Dependent Variable (Y) vs. Independent Variable (X)
    2. Residuals vs Predicted (fitted) Y
    3. Residuals vs X
    4. Residuals vs id (indexplot)
    Note: You may use any form of residuals for the plots in (b) and (c) that you wish (raw residuals, standardized, Studentized, etc.).


UCLA Department of Education

Phil Ender, 4Jan99