The following table shows the number of full-time faculty that WVU has on staff throughout the years.Year # of Faculty2003 12102007 13302009 14202013 14702017 15002018 1660 (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? 1.)No, the r-value is high, meaning the data can't be modeled using a line2.)Yes, the r-value is low, meaning the data can be modeled using a line 3.)No, the r-value is low, meaning the data can't be modeled using a line4.)Yes, the r-value is high, meaning the data can be modeled using a line Answer______________? (D) Using the regression line, How many Faculty members did WVU have in 2020? (Round your answer to the nearest whole number) ___________________?

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The following table shows the number of full-time faculty that WVU has on staff throughout the years.
Year # of Faculty
2003 1210
2007 1330
2009 1420
2013 1470
2017 1500
2018 1660


(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?

1.)No, the r-value is high, meaning the data can't be modeled using a line
2.)Yes, the r-value is low, meaning the data can be modeled using a line
3.)No, the r-value is low, meaning the data can't be modeled using a line
4.)Yes, the r-value is high, meaning the data can be modeled using a line

Answer______________?

(D) Using the regression line, How many Faculty members did WVU have in 2020? (Round your answer to the nearest whole number)

___________________?

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