The following are data on the percent effectiveness of a pain reliever and the amounts of three different medi-cations (in milligrams) present in each capsule: PercentMedication A Medication B Medication C effectivex1 x2 x3 y15 20 10 4715 20 20 5415 30 10 5815 30 20 6630 20 10 5930 20 20 6730 30 10 7130 30 20 8345 20 10 7245 20 20 8245 30 10 8545 30 20 94Assuming that the regression is linear, estimate theregression coefficients after suitably coding each of thex’s, and express the estimated regression equation interms of the original variables.
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 following are data on the percent effectiveness of
a pain reliever and the amounts of three different medi-
cations (in milligrams) present in each capsule:
Percent
Medication A Medication B Medication C effective
x1 x2 x3 y
15 20 10 47
15 20 20 54
15 30 10 58
15 30 20 66
30 20 10 59
30 20 20 67
30 30 10 71
30 30 20 83
45 20 10 72
45 20 20 82
45 30 10 85
45 30 20 94
Assuming that the regression is linear, estimate the
regression coefficients after suitably coding each of the
x’s, and express the estimated regression equation in
terms of the original variables.
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