### Home > INT2 > Chapter 12 > Lesson 12.1.1 > Problem 12-13

** **Marissa wants to understand the possible effects of the weather on amusement park attendance, so she studies a linear association between the attendance at the amusement park and the temperature. Marissa makes the residual plot at right.

Is a linear model appropriate? Why or why not?

The residual plot shows a clear U-shape. A curved regression model would have been better.

Marissa’s data follows. She has rounded attendance to the nearest hundred people. Make a scatterplot of the data. What kind of model might better represent Marissa’s data? Why?

Temperature

(F) *checksum*

Attendance

(thousands)*checksum*

Fit a quadratic model to the data. What attendance does your model predict for a

F day? Use appropriate precision. , where a is the attendance (in s of people) and t is the high temperature ( F) that day. people, rounded to the nearest people.