A research team collected data on students in a statistics course. Their dependent variable was the student’s score on the final examination, which ranged from 200 to 800 points. The observed average final examination score was 467, with an observed standard deviation of 107.2 (the divisor in the estimated variance was 249). Their independent variable was the score on the first examination in the course, which also ranged from 200 to 800. The average was 424, with an observed standard deviation of 81.7. The correlation coefficient between the first examination score and the final examination score was 0.58.
a. Report the analysis of variance table and the test of the null hypothesis that the slope of the regression line is zero against the alternative that it is not. Use the 0.10, 0.05, and 0.01 levels of significance.
I'm having trouble getting this problem started. To create an ANOVA table for regression I'm required to determine the SSR and SSE and thus MSR and MSE and finally the Fstat. Doesn't this require the individual values of y and x? I'm unsure of how to determine this using only mean, standard deviation, correlation and range.