Stats Solutions

[Steps Shown] It is thought that the duration of a particular illness is related to the bacterial count of the infecting organism. A random sample of eight

Question: It is thought that the duration of a particular illness is related to the bacterial count of the infecting organism. A random sample of eight patients with the illness have a bacterial count taken on admission to a health care facility, and the duration of their illness is recorded. The results are shown in the table below.

Bacterial Count, X Duration of Illness, Y
7 10
3 6
6 9
7 12
3 8
6 8
5 7
8 11
  1. Construct a scatter diagram for these data with "Bacterial Count" on the horizontal (z) axis, and "Duration of Illness" on the vertical (y) axis.
  2. Describe the type of relationship that would be expected between bacterial count and duration of illness.
  3. Find the least squares regression line with duration of illness as the dependent variable, and bacterial count as the independent variable. d. Plot the regression line on the scatter diagram you constructed in part (a). Note: Show your calculations for a: = 3 and a: = 8. e. Interpret the meaning of the value of b calculated in part (C).
    f. Use the equation of the regression line to predict the duration of illness for a bacterial count of 6000.
    g. Calculate r and r 2 . Explain what r 2 means.
    h. At the 2.5% significance level, can it be concluded that the correlation coefficient is positive? Use the critical value approach.
    Price: $2.99
    Solution: The downloadable solution consists of 4 pages
    Deliverable: Word Document


    ∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in