Question: A student takes weekly quizzes in a course and receives the following grades over 12 weeks
(a) Plot the data in a scatter plot with X = week and Y = grade.
(b) Calculate the least-squares line and plot this on the scatter plot in part (a).
(c) Plot the standardized residuals against X.
(d) What are your conclusions based on the plot produced in (c)?
(e) Calculate 0.95-confidence intervals for the intercept and slope.
(f) Construct the ANOVA table to test whether or not there is a relationship between the response and the predictors. What is your conclusion?
(g) What proportion of the observed variation in the response is explained by changes in the predictor.