In a sample analysis with 50 respondents, we wanted to study the relationship between the number X of minutes spent listening to music and the listening time Y of a specific radio, again expressed in minutes, on a summer weekend day. The findings are that: 50 50 Xj=6000, Eyi=3700, sx=125, sy=105 and rxy=0.75, =1 j=1 where sx, Sy and rxy are the sample standard deviation of X, Y and the sample linear correlation coefficient between X and Y respectively. The estimated standard error of the regression is also equal to Se=20. Estimate the simple linear regression model that explains the variable Y as a function of X. Report the required values in the spaces below. (Report 3 decimal places) (Manual correction question) -The estimated intercept of the model: -The estimated slope of the model: -The 95% confidence interval for the model slope:
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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