### 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. 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?

Temperature

(˚F)71

73

78

83

91

92

73

88

95

94

*checksum*

838Attendance

(thousands)8.6

13

21.6

25.9

23.8

25.9

17.3

25.9

17.3

21.6

*checksum*

200.9Fit 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.