The table below contains made-up data for the total number of COVID-19 cases each day within a country. Day 1 2 3 4 6 7 8 9. 10 COVID cases 60 183 227 216 342 400 620 789 1030 1458 A scatterplot of the data shows that the association is not linear. Using Excel, it is possible to determine various nonlinear regression models. In this case, an exponential regression model is appropriate. Use Excel to determine the least squares exponential regression curve for this data. Chart Elements COVID-19 cases M Axes 1600 Axis Titles 1400 Chart Title 1200 Data Labels Error Bars 1000 Gridlines 800 Legend 600 Trendline Linear 400 Exponential 200 Linear Forecast Two Period Moving Average 4 6 8 10 12 More Options.. What is the equation of the exponential regression curve? O a. y= 69.784 xe0.3052 ·x Ob.y = 45.786 x e0.2093 -x Oc. y = 75.786 x e0.0293 ·x O d.y = 85.684 x e0.9023 ·x %3D QUESTION 11 (previous question continued...) Using the exponential regression curve to extrapolate into the future, on what day will the total number of cases reach 5000? Round to the nearest whole number. [Note that e = 2.71828 is the base of the natural exponential function. This question is more challenging than what you will be asked on the final exam!] DI)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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