Exam 4 - Exponential Growth

Your Name Here

There is only one real problems on this exam, but it has multiple parts. Please feel free to ask questions during the exam.  Please do problem 1 though...Thanks in advance! 
Remember Alt+7 gives you a text cell where you can type in sentences of explanation etc...

Problem 1

Easy problem, please go here:  

https://forms.gle/8CQaL31kSMZxPFeu5

Fill out the survey, answer honestly, and add your thoughts where appropriate!

Problem 2

Once again, a problem involving COVID.  That being said, it is a rather popular topic, and the numbers are very well studied. We are going to examine the cumulative number of positive COVID cases in Bryan County.  The following table is the cumulative cases in Bryan County since November 1st.  The data from this table is stored in the variable CovidData below.

You can use the solutions to Exam 3 to help remind you of how to do the linear and quadratic regression functions.  Do NOT forget though, the dataset for this exam is different than that of the previous exam.

({{Day (November), Positive COVID Cases in Bryan County}, {1, 1655}, {2, 1684}, {3, 1743}, {4, 1773}, {5, 1801}, {6, 1837}, {7, no data available}, {8, 1971}, {9, 1981}, {10, 2018}, {11, 2092}, {12, 2167}, {13, 2191}, {14, 2262}, {15, 2328}, {16, 2356}, {17, 2367}, {18, 2425}, {19, 2468}, {20, 2508}, {21, 2563}, {22, 2620}, {23, 2629}, {24, 2634}, {25, 2710}, {26, 2749}, {27, no data available}, {28, 2794}, {29, 2812}, {30, 2817}})

(a) Plot the data using the ListPlot command, be sure to pick an appropriate window.

CovidData={{1,1655},{2,1684},{3,1743},{4,1773},{5,1801},{6,1837},{8,1971},{9,1981},{10,2018},{11,2092},{12,2167},{13,2191},{14,2262},{15,2328},{16,2356},{17,2367},{18,2425},{19,2468},{20,2508},{21,2563},{22,2620},{23,2629},{24,2634},{25,2710},{26,2749},{28,2794},{29,2812},{30,2817}};

(b)  Find the equation of the regression line P(t) = m*t+b through the points given in CovidData.

(c)  Find the equation of the regression quadratic Q(t) = a*(t^2)+b*t+c through the points given in CovidData.

(d)  Find the equation of the exponential function of best fit of the form R(t) = a+b*(r^t) through the points given in CovidData.

(e) Plot the regression line P(t), regression quadratic Q(t), and exponential function R(t) on the same graph with the data from CovidData.

(f) Use all three models to predict the number of cumulative cases in Bryan County by December 30th.

type your answer here after you enter command(s) below

(g) Rejoice.... this exam, and this course, is over.  Have a safe and happy holidays!