In the following data, X is the Fahrenheit temperature and Y is the number of times a cricket chirps in 1 min (see Problem 3, Section 4.2).

In Problems 6-12, construct a scatterplot of the given data. Is there a trend in the data?
Are any of the data points outliers? Construct a divided difference table. Is smoothing with a low-order polynomial appropriate? If so, choose an appropriate polynomial and  fit using the least-squares criterion of best fit. Analyze the goodness of fit by examining appropriate indicators and graphing the model, the data points, and the deviations.

Data from problem 3

In the following data, X is the Fahrenheit temperature and Y is the number of times a cricket chirps in 1 minute (see Problem 7, Section 4.1). Make a scatterplot of the data and discuss the appropriateness of using an 18th-degree polynomial that passes through the data points as an empirical model. If you have a computer available, fit a polynomial to the data and plot the results.

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X Y X Y 46 49 51 52 40 61 62 63 96 54 56 57 58 59 60 50 55 63 72 70 77 73 90 93 64 66 67 68 71 72 88 99 110 110 113 120 127 137 132