The mean numeric grades given by full-time and part- time faculty at Siena College are shown in Table 9 for various years.

Let F and P be the mean numeric grades (in points) given by full-time faculty and part-time faculty, respectively, both at t years since 2000.
a. Construct a scatterplot that describes the association between t and F. Do the same for the association between t and P. Show both scatterplots in the same coordinate sys- tem if you know how to use colors or shapes to identify which points are for which type of faculty.
b. Graph the model F = 0.02t + 2.85 on the scatterplot for full-time faculty. Does it comes close to the data points?
c. Find the mean of the values of P shown in Table 9.
d. Use the model for full-time faculty to predict when the mean numeric grade they give will equal the result you found in part (c). What does that mean in this situation? Do you have much faith in your prediction? Explain.
e. Describe at least two possible lurking variables for the full-time-faculty association.

Table 9 Mean Numeric Grades Given by Full-Time and Part-Time Faculty at Siena College Mean Numeric Grade Given by Facuity (points) YearFull Time Part Time 2006 2007 2008 2009 2010 2011 2012 2.96 3.00 3.01 3,04 3.03 3.06 3.10 3.23 3.22 3.19 3.18 3.18 3.20 3.20 According te my wat 20 yean we'l be parnteed he or she will gt eraight As in high school