The following table shows the number of full-time faculty that WVU has on staff throughout the years. Year # of Faculty 2003 2007 2009 2013 1250 1290 1430 1470 2017 1540 2018 1650 (A) Find the equation of the regression line that represents the number of full-time faculty, y, as a function of x years since 2000. (round the regression coefficients to two decimal place y = (B) What is the correlation coefficient (r-value) for the regression model? (Round your answer to three decimal places) %3D (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? O No, the r-value is high, meaning the data can't be modeled using a line O Yes, the r-value is high, meaning the data can be modeled using a line O No, the r-value is low, meaning the data can't be modeled using a line O Yes, the r-value is low, meaning the data can be modeled using a line
The following table shows the number of full-time faculty that WVU has on staff throughout the years. Year # of Faculty 2003 2007 2009 2013 1250 1290 1430 1470 2017 1540 2018 1650 (A) Find the equation of the regression line that represents the number of full-time faculty, y, as a function of x years since 2000. (round the regression coefficients to two decimal place y = (B) What is the correlation coefficient (r-value) for the regression model? (Round your answer to three decimal places) %3D (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? O No, the r-value is high, meaning the data can't be modeled using a line O Yes, the r-value is high, meaning the data can be modeled using a line O No, the r-value is low, meaning the data can't be modeled using a line O Yes, the r-value is low, meaning the data can be modeled using a line
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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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.
Question
Transcribed Image Text:The following table shows the number of full-time faculty that WVU has on staff throughout the years.
Year # of Faculty
2003
1250
2007
1290
2009
2013
1430
1470
2017
1540
2018
1650
(A) Find the equation of the regression line that represents the number of full-time faculty, y, as a function of x years since 2000. (round the regression coefficients to two decimal places)
y =
(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?
O No, the r-value is high, meaning the data can't be modeled using a line
O Yes, the r-value is high, meaning the data can be modeled using a line
No, the r-value is low, meaning the data can't be modeled using a line
O Yes, the r-value is low, meaning the data can be modeled using a line
(D) Using the regression line, How many Faculty members did WVU have in 2020? (Round your answer to the nearest whole number)
Expert Solution
Step 1
(A)
Use EXCEL to obtain the regression equation.
EXCEL procedure:
- Go to EXCEL
- Go to Data>Data Analysis.
- Choose Regression.
- Input Y range as $B$1:$B$7.
- Input X range as $A$1:$A$7
- Check the option Labels in First row.
- Click OK.
EXCEL output:
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