(a) Following hypothetical data show the number of days taken by 10 persons to recover from COVID 19 infection and their age. Find out whether there is any relationship between number of days for recovery and age of patients, by using Pearson product moment correlation coefficient. Number of 13 12 18 10 6 14 11 19 15 9. days for recovery Age 11 66 20 13 28 22 65 70 18 (b)A doctor wishes to see whether the pulse rates of smokers are higher than the pulse rates of non- smokers. Sample of 12 smokers and 10 non smokers are selected. The results are given as the average of smokers and non smokers are 89 and 86 respectively and the population variances of smokers and non smokers are as 25 and 36 respectively. Can the doctor conclude, at a = 0.02, that smokers have higher pulse rates than nonsmokers ?
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.
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