Use the data shown in the table that shows the number of bacteria present after a...

Use the data shown in the table that shows the number of bacteria present after a certain number of hours. Replace each y-value in the table with its logarithm. log y. Find the equation of the regression line for the transformed data. Then construct a scatterplot of (x, log y) and sketch the regression line with it. What do you notice?

Number of hours, x: 1 2 3 4 5 6 7

Number of bacteria, y: 325 533 965 1623 2777 4867 8373

Find the equation of the regression line of the transformed data

log y = ___ x + ____

Solutions

Expert Solution

Number of hours, x:	Number of bacteria, y:	Log Y
1	325	5.783825182
2	533	6.278521424
3	965	6.872128101
4	1623	7.392031568
5	2777	7.929126487
6	4867	8.49023301
7	8373	9.032767522

The plot between X and Log y is given below:

The line is a perfect fit, the correlation must be super close to 1.

The equation of the regression line of the transformed data

The model run in excel is :

Please let me know in comments in case anything is unclear. Will reply ASAP. Do upvote if satisfied!

orchestra answered 1 year ago

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