A sample of 7070 women is obtained, and their heights (in inches) and pulse rates (in beats per minute) are measured. The linear correlation coefficient is 0.2210.221 and the equation of the regression line is ModifyingAbove y with caret equals 17.6 plus 0.940 xy=17.6+0.940x, where x represents height. The mean of the 7070 heights is 62.862.8 in and the mean of the 7070 pulse rates is 77.377.3 beats per minute. Find the best predicted pulse rate of a woman who is 7474 in tall. Use a significance level of alpha equals 0.05α=0.05.
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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