(years) 13 17 22 25 F(t) (in %) 23 28 30.5 36 42 47 50 5. In 1988, only 24% of primary care doctors in the UK were women. Since that time, the percentage of female primary care doctors has consistently been increasing. The function F represents the percent of primary care doctors that were women in a given year, where t = 0 represents the year 1988. The table above gives values for F at selected values of t. The function F can be modeled by the linear regression function y = at + b, where a and b are constants, a) Based on the data presented in the table, explain why a linear regression model for F is appropriate. b) Find the equation of the linear regression model y = at + b. c) Using the model found in part b, what is the predicted percentage of female primary care doctors in the UK for the year 2021 (t = 33)? d) In 2021, the women accounted for 55% of all primary care doctors in the UK. What is the residual for this value