Month 3 4. Requests for gun background checks in Texas in 2012 are given below. Months Jan - Dec are shown. 1 2 4 5 8 9 6 7 10 11 12 # of Gun Background Checks 96394 130571 122295 88867 88027 89057 93179 117318 108117 112530 149821 239956 a. Look at a scatterplot of this data. Do you think a linear model would fit this data? Do you think a quadratic model would fit this data? Do you think a cubic (x³) model would fit this data? b. Enter the x and y data in two lists in your calculator. Obtain the equation for a cubic model. Round coefficients to 3 decimal places. Write it here: c. Use the model to predict the number of gun background checks in Texas in December of 2012 (x=12). Did the model predict a higher number or a lower number of background checks as compared to the actual observed value from the table?