In 1950, Americans slept an average of 8.1 hours per night, while in 1972 the average was 7.4 hours per night. In 2004, Americans slept an average of 6.9 hrs/night and in 1900 the average was 8.5 hrs/night. This data was used to find the estimated regression lineŷ = 8. 62 – 0. 016x 0. 01. Given SSR = 1.43 and MSE = 0.05, conduct a test for significance at a= Use the F-statistic and the p-value method. Determine the value of test statistics F: (Hint: Use the fact MSR=SSR and F=MSR/MSE) What is the p-value? (Round to four place decimal) (Hint: Use F distribution formula in excel: 1- F. DIST(F – value, df1, d f2,TRUE) with df1=1 and df2=2)
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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