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Correlation and Regression

Pearson Correlation Assignment Help — Running and Interpreting r in SPSS

What Is Pearson Correlation and When Do You Use It?

Pearson’s r measures the strength and direction of the linear relationship between two continuous variables — for example, hours studied and exam score. It tells you whether and how strongly two variables move together. It does not predict one variable from the other and does not imply that one causes the other — that’s what simple linear regression is for.

Assumptions You Must Check Before Running It in SPSS

Linearity, Normality, and Outlier Sensitivity

Check linearity with a scatterplot before running the test — Pearson’s r only captures straight-line relationships. Both variables should be approximately normally distributed. Most importantly: a single extreme outlier can substantially inflate or deflate r. Always look at the scatterplot before trusting the coefficient — this is the step students skip most often.

How to Run Pearson Correlation in SPSS (Step by Step)

  1. Go to Analyze > Correlate > Bivariate.
  2. Move both variables into the Variables box.
  3. Leave Pearson ticked (it’s selected by default).
  4. Leave the significance test set to Two-tailed unless you have a pre-specified directional hypothesis.
  5. Click OK.

How to Interpret Pearson Correlation Output

Strength and Direction of r

The sign of r shows direction (positive = both variables increase together; negative = one increases as the other decreases). The magnitude shows strength: .10 small, .30 medium, .50 large (Cohen’s benchmarks). r always falls between −1 and +1.

r² as Shared Variance

Square the r value to get the proportion of shared variance. An r of .40 gives r² = .16 — the two variables share 16% of their variance.

How to Report Pearson Correlation Results in APA Format

There was a significant positive correlation between hours studied and exam score, r(58) = .42, p = .001.

Correlation Isn’t the Whole Picture — What If You Need to Predict, Not Just Describe?

Pearson vs Spearman vs Simple Linear Regression

If your data is ordinal, or badly violates the normality/outlier assumptions above, use Spearman’s rank correlation instead — see the full SPSS statistical test guide. If your assignment asks you to predict one variable from another rather than just describe their relationship, you need simple linear regression, which builds directly on everything above.

A correlation does not mean causation — a strong r only shows association, never that one variable causes the other.

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