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Annotated Output | Regression

Computer Output

The table of descriptive statistics can be used to assist in calculating the correlation.

Summary Statistics for the Data

               N       M      SD    Skew    Kurt
Outcome1   4.000   2.000   2.449   0.544  -2.944
Outcome2   4.000   6.000   2.449   0.544  -2.944

The descriptive statistics are calculated separately for each variable.

The tables of inferential statistics show the key elements to be calculated.

Proportion of Variance Accounted For by the Regression Model

          Est      LL      UL
Model   0.250   0.000   0.606

Hypothesis Tests for the Regression Coefficients

                Est      SE       t       p
(Intercept)   5.000   1.785   2.801   0.107
Outcome1      0.500   0.612   0.816   0.500

The model summary table shows a final R-Squared (“Est”) of .250. This represents a moderate amount of variance in Outcome 2 accounted for by Outcome 1.

For the test of the regression coefficient associated with Outcome 1, the table shows a t of 0.816 and p of .500. This means that Outcome 1 did not statistically significantly predict Outcome 2.

APA Style

Regression cofficients provide a measure of statistical relationship between two variables. Note that regression coefficients can also have inferential information associated with them (and that this information should be summarized if it is available and of interest).

For the participants (N = 4), the scores on Outcome 1 (M = 2.00, SD = 2.45) moderately but not significantly predicted Outcome 2 (M = 6.00, SD = 2.45), R2= .250, β = .500, t = 0.816, p = .500.