c The residual is the actual value minus the predicted value.
A
a See solution.
B
b Novato should lose by 4 points.
C
c 15
a Examining the line of best fit, we notice that it has a positive slope and a correlation coefficient that is close to 1. This tells us the association is strong. Also, an r-value of 0.9 corresponds to an R-squared of (0.9)^2≈ 0.81. This means about 81 % of the difference in scores is explained by the difference in rating.
b Let's first calculate the difference in rating.
74.27-76.61=- 2.34Examining the association, we notice that the association has a slope of about 1.6 and a y-intercept of 0. With this information, we can write the regression's equation in slope-intercept form.
y=- 1.6x
By substituting x=- 2.34 into the function we can calculate the predicted outcome.
