Please see attachments below

On your calculator, do a linear regression (STAT CALC B ) 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 ?)? Sketch a scatterplot of this transformation and show the least-squares line. What is the value of " and " 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.) 3. Using the regression equation from the previous question that best fits the date, place the values of the residuals into LS. In case you forgot how to do this: Press STAI 1) highlight LS. in the data list window and press(ENTER, then press and (LIST) select RESID and press ENTER ENTER Create a residual plot on your calculator and interpret it; you don't need to draw the plot. (Note: You'll probably need to turn off the plot in Y : to display the scatterplot correctly.) (2 points)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 PowerPlanet Distance from Sun Years (as a In(Dist) In(Year) (in millions of fraction of Earth miles) years) Mercury 36.19 0.2410 3.5889 -1.4229 Venus 67.63 0.6156 4.2140 -0.4851 Earth 93.50 1.0007 4.5380 0.0007 Mars 142.46 1.8821 4.9591 0.6324 Jupiter 486.46 11.8704 6.1871 2.4741 Saturn 893.38 29.4580 6.7950 3.3830 Uranus 1,794.37 84.0100 7.4924 4.4309 Neptune 2.815.19 164.7800 7.9428 5.1046 Pluto 3,695.95 248.5400 8.2150 5.5156 Enter the original data in L1 and L2 (that is, the Distance from the Sun and Years). You may manually type in L3 and L4 but it's faster to use your calculator's STAT-> edit... Make L3 = In(L1) and L4 = In(L2). Verify that this matches the columns given above. Don't worry about the small discrepancies you may find due to rounding and the number of decimal places shown on your calculator. If your results differ from the values above, double-check your original entries