Survey was conducted to test the effectiveness of a new teaching method in a geography course. 42 randomly selected students were given a short test, and the results were recorded in the variable Pre-Test. After the students completed the class, they were asked to take a comparable test again, and the results of that test were recorded in the variable Post-test. The results of both tests are given in the table.
Write a paper, using the following questions as a guideline. You will need to type in the data at your left into StatCrunch.
(a) What are the mean and the median of the pre-test and the post-test scores?
(b) Create a single side-by-side boxplot for both variables. Find the upper and lower quartiles for each variable.
(c) Use parts (a) and (b) to compare the pre-test and the post-test scores.
(d) Create a scatterplot for the pre-test and post-test scores.
(e) What is the equation of the regression line?
(f) Is there a (linear) correlation between the pre-test and the post-test scores? Justify your answer.
(g) Use the regression line in part (e) to predict the post-test score of someone with a pre-test score of 37.
Your report should be in article form and should look professional. In particular, it should be typed, and your tables and graphs should be integrated with your text. For clarity, you may want to include an introduction and a conclusion. Make sure to explain your answers thoroughly. Your grade will be based both on mathematical content and presentation.
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