The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. *11.1 Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y). *11.2 Test for the statistical significance of this regression line using the F test. *11.3 What is R2 for the regression line in Problem 11.1?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The data in Table 11.17 are given for 9 patients with aplastic anemia [11].
*11.1 Fit a regression line relating the percentage of reticulocytes (x) to the number of lymphocytes (y).
*11.2 Test for the statistical significance of this regression line using the F test.
*11.3 What is R2 for the regression line in Problem 11.1?
![TABLE 11.17 Hematologic data for patients
with aplastic anemia
Patient
Lymphocytes
(per mm?)
number
% Reticulocytes
1
3.6
1700
2
2.0
3078
3
0.3
1820
4
0.3
2706
0.2
2086
3.0
2299
7
0.0
676
8
1.0
2088
9
2.2
2013
Source: Based on The New England Journal of Medicine, 312(16),
1015–1022, 1985.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F878346f3-ca3c-439c-8faa-e963d6f4236a%2F76335d39-bdd2-47f4-bf8e-92162e1276d5%2F7urmvjk_processed.png&w=3840&q=75)
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