A Student Wanted to Know If There Was a Relationship

Essay

A student wanted to know if there was a relationship between a person's alphabetical position and his or her academic performance as measured by points in a General Psychology class. Below are some hypothetical data. $$\begin{array}{l}\text { Alphabetical }\\\begin{array} { c c } \text { Position } & \text { Points } \\\hline 2 & 18 \\5 & 19 \\8 & 15 \\14 & 14 \\20 & 13 \\26 & 11\end{array}\end{array}$$ (Real data exist in professor's grade books and might be available to someone who wanted to determine the degree of this relationship.)For these data,
a. draw a scatterplot.
b. calculate r.
c. draw the regression line on your scatterplot, clearly identifying with large X's the two points you used to construct the line.
d. predict the number of points made by a person whose alphabetical position is 13.
e. interpret the results of the correlation coefficient in a simple sentence.