The Scores Below Are from Two Different Tests of Self-Esteem

Essay

The scores below are from two different tests of self-esteem. $$\begin{array} { c c c } \text { Subject } & \text { Test A } & \text { Test B } \\\hline 1 & 10 & 7 \\2 & 9 & 8 \\3 & 9 & 6 \\4 & 8 & 9 \\5 & 6 & 4 \\6 & 5 & 6 \\7 & 5 & 5 \\8 & 3 & 3 \\9 & 1 & 2\end{array}$$
a. Draw a scatterplot.
b. Calculate r.
c. Calculate the coefficient of determination and use it to write a conclusion about whether the two tests are measuring the same thing.
d. Calculate the regression coefficients and draw the regression line on the scatterplot you drew above.
e. Predict a score for Test B from a Test A score of 15.