Logarithmic Regression

A hi-fi store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Find the logarithmic regression (ln reg) equation.

Find the logarithmic regression equation (y = a+blnx) of the following data:

• y = 188.19 (1.02)^x

• y = 176.25 + 26.11ln(x)

• y = 188.03 + 4.51x

• y = -190.78 + 36.73ln(x)

This equation models a person's max bench press after lifting weights for x months.  Predict the max bench press after 3 years of lifting.

• 253 pounds

• 3043.56 pounds

• 203.56 pounds

• 268.17 pounds

Use a logarithmic regression (ln reg) to predict the height of the tree after 22 years.

• 125 inches

• 133 inches

• 137 inches

• 139 inches

• A

• B

• C

• D

• E

This equation models a person's max bench press (in pounds) after lifting weights for x months.  After how may months will the person bench 300 pounds?

• 122.4 months

• 125.23 months

• 323.3 months

• 269.82 months

Write an logarithmic equation for the above table of data.

• y = 8.27(40.52)^x

• y = 40.52(8.27)^x

• y = 8.27+40.52ln(x)

• y = 40.52+8.27ln(x)

Use a lograthmic regression (ln reg) to predict the height of the child after 20 years.

• 74

• 72

• 70

• 75

Solve.

• a

• b

• c

• d

In the accompanying table, x represents the wind speed, in MPH, and y represents the corresponding wind chill factor, in °F, when the air temperature is 10°F. (a) Write a logarithmic regression equation for this set of data, rounding all coefficients to the nearest hundredth.

• y = -5.67 + 2.34 ln(x)

• y = 3.45 + 1.23 ln(x)

• y = -2.34 + 4.56 ln(x)

• y = 1.23 + 3.45 ln(x)