Question

The following table shows the number of full-time faculty that WVU has on staff throughout the years.

Year # of Faculty 2003 1250, 2007 1310, 2009 1370, 2013 1500, 2017 1540, 2018 1700

(A) Find the equation of the regression line that represents the number of full-time faculty, F , as a function of x years since 2000. (round the regression coefficients to two decimal places) F(x) =

(B) What is the correlation coefficient (r-value) for the regression model? (Round your answer to three decimal places) r =

(C) Given the value of r , does the regression line model the data well? That is, does the equation do a good job of modeling the data? No, the r-value is low, meaning the data can't be modeled using a line. Yes, the r-value is high, meaning the data can be modeled using a line. No, the r-value is high, meaning the data can't be modeled using a line. Yes, the r-value is low, meaning the data can be modeled using a line

(D) Using the regression line, How many Faculty members did WVU have in 2014? (Round your answer to the nearest whole number) Click here for help with symbolic formatting.

Answer 1

faculty (7) Year ( 2003 2007 2009 1310 1370 Repression luse - iz bxta of Sum of x= 12067 X X Sum of Y = 8670 Ssya Eff-x) = 138950 una 2011-167 My z 1945 Sam of squares = (s 5x)= 1720833 Sum of product = (SP) = 4715 ba Sp/ssx = 27028 2013 1500 2017 1540 2018 1700 In = 53420.86 72083 x 138950 (A) 1) = ý = 27.28a-53480086 (B) correlation coefficient = E(X-My) (Y-MA) / SS. ssy = 4745 11972-83 * 138950 = 0.962 (c) Yes & 'is high , dats can be modeled (D) X5 2014 Peale 27.98 X 2014 - 53420-86 - 1521.06 n 152