Question

1. Suppose that a researcher collected the following set of data on years of education (X) and number of children for a sample of married adults:

                 X                  Y    

                12                  2

                14                  1

                17                  0

                10                  3

                 8                   5

                 9                   3

                12                  4

                14                  2

                18                  0

                16                  2    

1. Draw a scatter plot of the data.
2. Write out the regression equation, then calculate and interpret the meaning of the regression slope and Y-intercept. You must provide both numbers and careful description of what both “a” and “b” mean. For the value of “a” (the Y-intercept), it is not sufficient to say it is the baseline. Your interpretation of both “a” and “b” should include reference to the specific units or metric of both variables. This is true for all questions asking you to interpret the slope and Y-intercept.
3. Draw the regression line on the scatter plot.
4. Predict the number of children for an adult with 11 years of education.
5. Report the coefficients of determination and non-determination and interpret what each of these statistics means.
6. Is the relationship between education and number of children statistically significant using a 99% confidence level?

Answer 1

a) Scatter plot

c) scatter plot fro regression line

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