HomeworkLib
Question

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.)

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1
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:

Scatter plot log(y) = 0.5617x+4.7818 R=0.9999 1 2 3 4 5 6 7 8

The regression equation is:

log(y) = 0.562x + 4.782

0 0
Add a comment
Know the answer?
Add Answer to:
Use the data shown in the table that shows the number of bacteria present after a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • which shows the number of bactoria present after a certain number of hours. Include the original...

    which shows the number of bactoria present after a certain number of hours. Include the original data in the graph. Note that this model can also be found by solving the equation log y mx + b for y EEB Click the icon to view the table of numbers of hours and bacteria The equation of the regression curve isy-D Round to two decimal places as needed) Choose the correct graph below O A. ов. Ос. O D. Hours Hours...

  • Find the equation of the regression line for the given data. Then construct a scatter plot...

    Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables have a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. font size decreased by 1 font size increased by 1...

  • @ 0 Time and Bacteria Count 0 Hours 8 Ours Number of hours, x 2 3...

    @ 0 Time and Bacteria Count 0 Hours 8 Ours Number of hours, x 2 3 4 5 Number of bacteria, y 167 278 468 783 1314 1927 4910 6 7 Print Done Question Help The accompanying data show the number of bacteria present for a certain number of hours. Find the equation of the regression line for the data. Then construct a scatter plot of (x) and sketch the regression line with Click the icon to view the table...

  • An exponential equation is a nonlinear regression equation of the form y= ab^x. Use technology to...

    An exponential equation is a nonlinear regression equation of the form y= ab^x. Use technology to find and grab the exponential equation for the accompanying data, which shows the number of bacteria present after a certain number of hours. Include the original data in the graph. Note that this model can also be found by solving the equation log y= mx + b for y. Number of hours, x: 1 2 3 4 5 6 7 Number of bacteria, y:...

  • can someone help me with this i am stuck with all these questions i dont get...

    can someone help me with this i am stuck with all these questions i dont get it Here are summary statistics for randomly selected weights of newborn girts: n = 155, X = 33.6 hg, 8 = 6.5 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 31.3 hg <u <35.1 hg with only 13 sample values, x = 33.2 hg, and s = 2.3 hg?...

  • The table below shows the number of individuals infected with a disease t days after its...

    The table below shows the number of individuals infected with a disease t days after its first detected by the CDC. Days 1 2 3 4 5 6 7 8 Infected Individuals 1032 1709 2826 4148 6801 11469 17541 26509 For each of the following questions, enter predictions to the nearest whole individual. Exponential Regression Model We used regression to find an exponential equation that best fits the data above. The equation has form y=abt where: a = 669.2 b...

  • The data below show the number of registered automatic​ weapons, in​ thousands, and the murder​ rate,...

    The data below show the number of registered automatic​ weapons, in​ thousands, and the murder​ rate, in murders per​ 100,000, for eight randomly selected states. a. Determine the correlation coefficient between the number of automatic weapons and the murder rate. b. Find the equation of the regression line. c. Approximately what murder rate can we anticipate in a state that has 13 thousand registered​ weapons? Automatic weapons comma x 11.5 8.2 6.8 3.3 2.6 2.7 2.2 0.3 Murder rate comma...

  • Find the equation of the regression line for the given data. Then construct a scatter plot...

    Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables have a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying comma xHours spent studying, x 0 2...

  • The data below represent the number of days​ absent, x, and the final​ grade, y, for...

    The data below represent the number of days​ absent, x, and the final​ grade, y, for a sample of college students at a large university. Complete parts​ (a) through​ (e) below. No. of​ absences, x 0 1 2 3 4 5 6 7 8 9 Final​ grade, y 89.4 86.6 83.7 81.3 78.3 74.0 64.3 69.0 66.2 63.3 ​(a) Find the​ least-squares regression line treating the number of​ absences, x, as the explanatory variable and the final​ grade, y, as...

  • The following table shows both current and projected data on the number, in millions, of Facebook...

    The following table shows both current and projected data on the number, in millions, of Facebook users in a certain country. t = years since 2012 F = number of Facebook users (millions) 0 9.2 1 10.5 2 11.3 3 11.7 4 13.1 5 13.2 6 14.3 (a) Plot the data. (b) Find the equation of the regression line. (Round regression line parameters to two decimal places.) F(t) = Add the graph of the regression line to the plot from...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT