4.73 ) Test Scores Assume that in a political science class, the teacher gives a midterm exam and a final exam. Assume that the association between midterm and final scores is linear. The summary statistics have been simplified for clarity. Medterm: Mean = 75, Standard deviation = 10 Final: Mean = 75, Standard deviation = 10 Also, r = 0.7 and n = 20. For a student who gets 95 on the midterm, what is the predicted final exam grade? Assume the graph is linear. Step 1 Find the equation of the line to predict the final exam score from the midterm score. Standard form: y = a + bx Sfinal a. First find the slope: b = r Smidterm b. Then find the y-intercept, a, from the equation a =y- be C. Write out the following equation: Predicted y = a + br However, use "Predicted Final" instead of "Predicted y" and "Midterm" in place of x. Step 2 Use the equation to predict the final exam score for a student who gets 95 on the midterm. Step 3 Your predicted final exam grade should be less than 95. Why