Hot Day in Florida
The Table shows the air temperature at various times during a spring day in Gainesville, Florida.
Time
Temp (𝐹°)
6 a.m.
52
7 a.m.
56
8 a.m.
61
9 a.m.
67
10 a.m.
72
11 a.m.
77
Noon
80
1 p.m.
82
2 p.m.
86
3 p.m.
85
4 p.m.
83
5 p.m.
78
6 p.m.
72
a.) Sketch a scatter plot of the data, with x = 0 corresponding to midnight. Also sketch an estimate
of the missing data for a whole 24 hour period.
b.) Find a quadratic polynomial model for the data. Graph the model and compare with the scatter
plot model and 24 estimate
c.) What is the predicted temperature for 4 am? For Noon? For 8 p.m.?