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 left parenthesis x comma log y right parenthesis and sketch the regression line with it. What do you notice?
Number of hours comma x 1 2 3 4 5 6 7
Number of bacteria comma y 213 366 635 1104 1997 3490 6115
Find the equation of the regression line of the transformed data. log y equals nothing x plus nothing (Round to three decimal places as needed.)
Homework Answers
| x | y | log(y) |
| 1 | 213 | 5.361292 |
| 2 | 366 | 5.902633 |
| 3 | 635 | 6.453625 |
| 4 | 1104 | 7.006695 |
| 5 | 1997 | 7.599401 |
| 6 | 3490 | 8.157657 |
| 7 | 6115 | 8.7185 |
The plot is:
The regression equation is:
log(y) = 0.562x + 4.782
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