The following table shows the number of full-time faculty that WVU has on staff throughout the years.Year # of Faculty2003 12102007 13302009 14202013 14702017 15002018 1660 (A) Find the equation of the regression line that represents the number of full-time faculty, F , as a function of x years since 2000. (round the regression coefficients to two decimal places)F(x) =_______________________? (B) What is the correlation coefficient (r-value) for the regression model? (Round your answer to three decimal places)r =________? (C) Given the value of r , does the regression line model the data well? That is, does the equation do a good job of modeling the data? 1.)No, the r-value is high, meaning the data can't be modeled using a line2.)Yes, the r-value is low, meaning the data can be modeled using a line 3.)No, the r-value is low, meaning the data can't be modeled using a line4.)Yes, the r-value is high, meaning the data can be modeled using a line Answer______________? (D) Using the regression line, How many Faculty members did WVU have in 2020? (Round your answer to the nearest whole number) ___________________?
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.
The following table shows the number of full-time faculty that WVU has on staff throughout the years.
Year # of Faculty
2003 1210
2007 1330
2009 1420
2013 1470
2017 1500
2018 1660
(A) Find the equation of the regression line that represents the number of full-time faculty, F , as a
F(x) =_______________________?
(B) What is the
r =________?
(C) Given the value of r , does the regression line model the data well? That is, does the equation do a good job of modeling the data?
1.)No, the r-value is high, meaning the data can't be modeled using a line
2.)Yes, the r-value is low, meaning the data can be modeled using a line
3.)No, the r-value is low, meaning the data can't be modeled using a line
4.)Yes, the r-value is high, meaning the data can be modeled using a line
Answer______________?
(D) Using the regression line, How many Faculty members did WVU have in 2020? (Round your answer to the nearest whole number)
___________________?
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