The following table(see attachment) compares U.S. population (millions) with U.S. per-capita consumption of bottled water (gallons). Answer the following questions. 1. Determine the least-squares regression line and the value of r. 2. Compute a 95% confidence interval for mean of the per capita consumption of bottled water, given the U.S. population is 320 million. 3. Compute a 95% prediction interval for an individual observation of per capita consumption of bottled water, given the U.S. population is 320 million. 4. Compare the confidence interval and prediction interval. Which one is wider? And why? You may use the critical values as below: t(0.025,3)= 3.182446, t(0.025,4)=2.776445.
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.
ONLY PART 4!!
The following table(see attachment) compares U.S. population (millions) with U.S. per-capita consumption of bottled water (gallons). Answer the following questions.
1. Determine the least-squares regression line and the value of r.
2. Compute a 95% confidence interval for mean of the per capita consumption of bottled water, given the U.S. population is 320 million.
3. Compute a 95% prediction interval for an individual observation of per capita consumption of bottled water, given the U.S. population is 320 million.
4. Compare the confidence interval and prediction interval. Which one is wider? And why?
You may use the critical values as below:
t(0.025,3)= 3.182446, t(0.025,4)=2.776445.
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