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Expose marine bacteria to X-rays for time periods from 1 to 15 minutes. Here are

ID: 3428575 • Letter: E

Question

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

Time 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Count 355 211 197 166 142 106 104 60 56 38 36 32 21 19 15

Explanation / Answer

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

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