refer to the following: Exploring other types of best-t

Chapter 2, Problem 39

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refer to the following: Exploring other types of best-t curves When describing the patterns that emerge in paired data sets, there are many more possibilities other than best t lines. Indeed, once you have drawn a scatterplot and are ready to identify the curve that best ts the data, there is a substantive collection of other curves that might more accurately describe the data. The following are listed among those in STATS/CALC on the TI-83, along with some comments eate a scatterplot. b. Use LinReg(axb) to determine the best t line and r. Does the line seem to accurately describe the pattern in the data? c. For each of the different choices listed in the above chart, nd the equation of the best t curve and its associated r2 value. Of all of the curves, which seems to provide the best t? Note: The r2-value reported in each case is NOT the linear correlation coefcient reported when running LinReg(axB). Rather, the value will typically change depending on the curve. The reason why is that each time, the r2-value is measuring how accurate the t is between the data and that type of curve. A value of r2 close to 1 still corresponds to a good t with whichever curve you are tting to the data.