Table 171
the Mathematics S $r$
B What Is the Proportion of Total Variation In Point

Essay

Table 17.1
The mathematics S.A.T. scores and college grade point averages of eight students are given below.

-Use Table 17.1 to solve the following:
a. Calculate the correlation coefficient $r$ .
b. What is the proportion of total variation in $y$ that is accounted for by $x$ ?
c. Test the null hypothesis of no relationship between the two variables at $\alpha=0.05$ .
d. Calculate a $95 \%$ confidence interval for $\mathrm{Q}$ .