Read the data below carefully, then answer a) and b).

Last year a researcher studied the relationship between Math Anxiety scores and Statistics course grades in a sample of 154 junior baccalaureate students. Math Anxiety scores could range 20 to 80. Statistics course grades could range from 0 to 100. Data analysis, using Pearson correlation and scatterplot, revealed the following:

r = .-7952

p = .003

intercept = 95

slope = -.5

So far this year you have measured Math Anxiety in a sample of 42 baccalaureate junior students. They won't take the Statistics course until next semester. Meanwhile, based on last year's findings you can develop a prediction equation so as to estimate the Statistics grades for the current group of students. (Minimum score to pass Statistics = 75).

a) Using the standard prediction formula: Y' = a + bX [1.5 Marks]

predict Statistics grades for students with the following Math Anxiety scores.

Show your math calculations for figuring the Predicted Statistics grades:

Student Math Anxiety Predicted Statistics Calculations:

Score Grade

Carol 36 ________

Sandy 64 ________

John 28 ________

Tim 52 ________

Joe 49 ________

b) How would you interpret these predicted Statistics grades to the students in general?

[0.50 Mark]