Question

In Problems, 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 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). X 46 49 51 52 54 56 57 58 59 60 Y 40 50 55 63 72 70 77 73 90 93 X 6 62 63 64 66 67 68 71 72 Y 96 88 99 110 113 120 127 137 132

Answer 1

Given that Here 'x' is the Fahrenheit temperature and 'y' is the number of times a cricket chips in 1 minute \r\n make a scatter plot of the above data as follows observe the figure that, a linear model gives a very good approximation for the data, making an 18th - degree polynomial not so suitable If you need to fit and 18th -degree polynomial to the given data, you can use from of the polynomial use a computer Algebra system, fitting a polynomial to the given data is a linear regression y = -138.359 + 3.815x \r\n sketch a scatter plot of the given data with the regression line as shown below