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. Homework Help ✎
Is a linear model appropriate? Why or why not?
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?
Fit a quadratic model to the data. What attendance does your model predict for a 95ºF day? Use appropriate precision.
The residual plot shows a clear U-shape. A curved regression model would have been better.
a = −0.083t² + 14.2t − 579, where a is the attendance (in 1000s of people) and t is the high temperature (ºF) that day. 20,900 people, rounded to the nearest 100 people.