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Unformatted text preview: 3846 Exponential Transformation Exponential Now look at the new Now scatter-plot of (x, log y) scatter-plot This scatter-plot looks This more centered about a line as opposed to a curve. curve. 3.5 3 2.5 Barrels in Millions 2 Series1 1.5 1 0.5 0 0 20 40 years since 1880 60 80 Check that’s it linear Check How do we check How that the data is linear? linear? Now that it is linear, Now we do a leastwe squares regression squares line on the transformed (x, log y) transformed Exponential Transformation Exponential log y = 1.54+.0305x 2.5 Popula tion in Thous ands The r-squared value The looks good (0.987) looks The regression line The (LSRL) is given as: (LSRL) y = 1.54+.0305x This is not quite right This as it should be: as 2 1.5 1 0.5 0 -0.5 0 20 40 60 80 60 80 -1...
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