A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: People (P) 11 11 9 10 8 7 7 4 Cups of coffee (n) 1 1 2 3 3 4 4 5 Unless otherwise stated, you can round values to two decimal places. a) Using regression to find a linear equation for P(n) P(n)P(n) = b) Interpret the meaning of the slope of your formula in the context of the problem c) Interpret the meaning of the P intercept in the context of the problem d) Use your model to predict the number of people that will complain about his attitude if he drinks 9 cups of coffee. e) Is the answer to part f reasonable? Why or why not? f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.
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.
A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data:
| People (P) | 11 | 11 | 9 | 10 | 8 | 7 | 7 | 4 |
|---|---|---|---|---|---|---|---|---|
| Cups of coffee (n) | 1 | 1 | 2 | 3 | 3 | 4 | 4 | 5 |
Unless otherwise stated, you can round values to two decimal places.
a) Using regression to find a linear equation for P(n)
P(n)P(n) =
b) Interpret the meaning of the slope of your formula in the context of the problem
c) Interpret the meaning of the P intercept in the context of the problem
d) Use your model to predict the number of people that will complain about his attitude if he drinks 9 cups of coffee.
e) Is the answer to part f reasonable? Why or why not?
f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.
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