AP statistics homework (please help solve using pencil and paper)

1. Draw a scatterplot of Distance vs. Year (using the untransformed data) with the least-squares regression line. Does the line seem to model the relationship well? (2 points) Which of the curves on page 1 is likely to model the data above? (may be more than one) Exponential Logarithmic Power 2. On your calculator, do a linear regression (STAT CALC 8 ) for these different combinations: . Distance vs. In(Year) (L1 vs. L4, if you entered the data as directed above) . Ln(Distance) vs. Ln(Year) (L3 vs. L4, if you entered the data as directed above) Verify that the transformation yields the highest correlation coefficient (Pearson's r)? Sketch a scatterplot of this transformation and show the least-squares line. What is the value of r and r? for that transformation, and what regression equation does it yield? (3 points)(Hint: Remember to include "In" on the variables in your regression equation that have been transformed.)Table of Common Transformations There are many types of associations that you may encounter, This table lists the most common, and summarizes the way each is transformed. (Warning: This is by no means a complete list of every possible transformation!) Appearance of Plot Possible Association Type of Transformation Exponential* Take the log (natural or base General algebra equation: 10) of the dependent (y) y = ax ex variable. ............. Take the log of the Logarithmic independent (x) variable. General algebra equation: y = In(x) Take the log of both Power* variables. General algebra equation: y= a x xb Partition data where the Complex plot changes. Treat each More than one type of curve part as a separate put together. Equations for association. different sections may vary. *Note that these three associations have graphs that are very similar. The context of your data may give you a hint about the transformation to try first. You may need to try more than one to find the best transformation