Question

ID	X	Y
1	2	3
2	3	6
3	4	6
4	5	7
5	8	7
6	5	7
7	6	7
8	8	8
9	7	8
10	12	11

1. Test the significance of the correlation coefficient.
2. Then use math test scores (X) to predict physics test scores (Y).  Do the following:

1. Create a scatterplot of X and Y.
2. Write the regression equation and interpret the regression coefficients (i.e., intercept and slope).
3. Predict the physics score for each.
4. What assumption is necessary for this prediction to be valid?

Answer 1

Finding the correlation

Significance of correlation

Scatter plot

Regression equation

Interpretation of equation

Y=3.2105+0.6316X

Intercept = 3.2105, when X is zero, the baseline value of y is 3.2105

Slope = 0.6316, For one unit increase in x, y increases by 0.6316

Predicted values of Y