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Compare the value of R^2 to determine which model is best.
Quadratic: y=5.46x^2-6.16x-1.44
Exponential: y=4.44(1.65)^x
Best fit: Quadratic
Graph:
Let's start by organizing all the data into lists. By pushing STAT and choosing the EDIT option, we can fill out the two first lists.
Once the values have been entered, we can plot them by pushing 2nd and Y= and choosing one of the plots in the list. Make sure you turn the plot ON, choose scatter plot as the type, and set L1 and L2 as XList and YList. Finally, you can pick whatever mark you want.
By pushing GRAPH the calculator will plot the data set. However, before we do that check the window settings to make sure they will accommodate the graph. You can change the settings by pushing WINDOW.
To perform the regression we push STAT and scroll right to the second option, CALC. In this menu, we see all of the available regressions the calculator can perform. Let's start with performing a quadratic regression.
Now let's also perform an exponential regression. To find the option, scroll further down the list.
To determine which model fits the data set best we can look at the value of R^2. The closer this value is to 1, the better the fit. Comparing R^2 of the two models, we see that the quadratic model fits the data set better. Let's plot this function in the scatter plot.
