Regression Analysis duration of illness
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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 in the table below.
Bacterial Count (1000s) Duration of Illness (Days)
(x) (y)
7 10
3 6
6 9
7 12
3 8
6 8
5 7
8 11
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The solution provides step by step method for the calculation of regression model . Formula for the calculation and Interpretations of the results are also included.
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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 in the table below.
Bacterial Count (1000s) Duration of Illness (Days)
(x) (y)
7 10
3 6
6 9
7 12
3 8
6 8
5 7
8 11
a. Construct a scatter diagram for these data with "Bacterial Count" on the horizontal (x) axis, and "Duration of Illness" on the vertical (y) axis.
b. Describe the type of relationship that would be expected between bacterial count and duration of illness.
We can observe a positive relationship between bacterial count and duration of illness.
c. Find the least squares regression line duration of illness as the dependent variable, and ...
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