Expose marine bacteria to Xrays for time periods from 1 to 1

Expose marine bacteria to X-rays for time periods from 1 to 15 minutes. Here are the number of surviving bacteria (in hundreds) on a culture plate after each exposure time

(b)Repeat your work for the regression of the natural logarithm of count on time. Make a numerical comparison of the linearity of the two relationships. (Round your intercept to two decimal places and your slope to three decimal places.)

I found the regression line of count to be: Count= 259.58+-19.464

Solution

Minitab used fo analysis

Before transformation

Coefficients

Term        Coef SE Coef T-Value P-Value   VIF

Constant   259.58     22.7    11.42    0.000

Time      -19.464     2.50    -7.79    0.000 1.00

Regression Equation

Count = 259.58 - 19.464 Time

After transformation of count

Term          Coef SE Coef T-Value P-Value   VIF

Constant    5.9732   0.0598    99.92    0.000

Time      -0.21843 0.00657   -33.22    0.000 1.00

Regression Equation

Log count = 5.97 - 0.218 Time