The Following Time-Of-Day and Temperature (F ) Were Gathered During a Gorgeous Midsummer Day in Fargo
The following time-of-day and temperature (F ) were gathered during a gorgeous midsummer day in Fargo, North Dakota:
Source: National Weather Service; www.weather.gov
(a) Make a scatter plot of these data.
(b) Fit a linear model to the data.
(c) Fit an exponential model to the data.
(d) Fit a quadratic model to the data.(e) Use your equations to make a table showing the predicted temperature for each model, rounded to the nearest degree.
(f) The actual temperature at 8:00 p.m. (20 hours) was 70° F. Which model was closest? Which model was second-closest?
(g) All of the models give values that are too high for each of the times after 6:00 PM. What is one possible explanation for this?
Correct Answer:
Verified
(b) y = 1.561x
(c) y = 49.89802...
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