MATH 523 Lecture 23: MATH 523 - Lecture 23

The table lists the average annual cost of tuition and fees at private 4-year colleges for selected Year Tuition and Fees (in dollars) 11,719 13,994 17.709 1994 1996 1998 200016,233 200221,116 200424,101 2006 3 32.218 any two data points with each consisting of the year and its corresponding tuition and fees, describe in detail ow you would find a linear function that models the data shown in the table. Be sure to clearly define and interpet all components involved in your model. Determine a linear function that models the data, where x0 represents 1994, and x 1 represents 1995, and so on. Use the points (0, 11719) and(12,32218). Choose two more combinations of points and use them to create two additional linear functions that model the data. Record the three linear functions below. Function 1: Function 2: Function 3: 3. How would you go about using these functions to predict the average annual cost of tuition and fees for a future year? Suppose you are in the marketing department for a college and you are trying to determine which function to use to encourage future students attend your college. Explore and state the messages that can be sent to prospective students by each function. 4. Use all three functions to approximate tuition and fees in 2035. State your results below. Next, choose the function you would use to encourage prospective students and explain the reasoning behind your choice. Function 1: Function 2: Function 3: Function of choice: Explanation

Student ID in-class Assignment In order to obtain full credit, all work must be shown dy 3 ) The solution to the differential eqn where y(2)-3, is (E) y x4 +15 dx (A) e +4 (B) e +5 (C) Se (D) tanx+5 (E) tan x+Se (3) The differential equation 2 ry=2x + 3,y(0) = 5 is (A) Linear (B) nonlinear (C) Linear with fixed constants (D) undeterminable to be linear or nonlinear (4) A differential equation is considered to be ordinary if it has (A) One dependent variable (B) more than one dependent variable (C) one independent variable (D) more than one independent variable (5) Given 2d x + 3y = sin2x, y(0) = 6, y(2) is approximately :- (A) 0.17643 (B) 0.29872 (C) 0.32046 (D)0.58024 dy Page 1 of

submitted in a separate document will not be accepted ten uestription will hot be accepted. Graphs Discussion of the Regression Model (28 points): In this model, you will discuss the meaning of your regression model following . Please answer the 1. Using your linear regression equation, find the vertical intercept and interpret its 2. Using your linear regression equation, find the horizontal intercept and interpret its 3. Using your linear regression equation, find the slope and interpret its meaning within 4. Use your regression model to determine the predicted resale valua of your car 5 years 5. Do you expect all cars (different make and models) to depreciate in the same way (to 6. Most banks and credit unions provide car loans ranging from 24 to 72 months (2 to 7 meaning within the context of the model. (5 pts) meaning within the context of the model. (5 pts) the context of the madel. (S pts) after its purchase (when the car is 5 years old) (5 pts) have the same linear regression model)? Explain your answer. (4 pts) years), while the most common mortgages range from 10 to 30 years. Use your regression model to explain why it would not makes sense to offer a car loan ranging up to 30 years. (4 pts)