.Tuition Fees: The following table shows the average annual tuition and fees at private and public 4-year colleges and universities for the school years 2009-2010 through 2014-2015. Year Private Public 2009-2010 31,448 15,014 2010-2011 32,617 15,918 2011-2012 33,674 16,805 2012-2013 35,074 17,474 2013-2014 36,193 18,372 2014-2015 37,385 19,203 a. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear correlation coefficient and the equation of the least-squares line for the tuition and fees at private 4- year colleges and universities, based on the year. Don Honorio Ventura State University Pasig, Candaba, Pampanga MMW103: Mathematics in the Modern World b. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear correlation coefficient and the equation of the least-squares line for the tuition and fees at public 4- year colleges and universities, based on the year. c. Based on the linear correlation coefficients you found in parts a and b, are the equations you wrote in parts a and b good models of the growth in tuition and fees at 4- year colleges and universities?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
2.Tuition Fees: The following table shows the average annual tuition and fees at private and
public 4-year colleges and universities for the school years 2009-2010 through 2014-2015.
Year Private Public
2009-2010 31,448 15,014
2010-2011 32,617 15,918
2011-2012 33,674 16,805
2012-2013 35,074 17,474
2013-2014 36,193 18,372
2014-2015 37,385 19,203
a. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear
coefficient
year colleges and universities, based on the year.
Don Honorio Ventura State University
Pasig, Candaba, Pampanga
MMW103: Mathematics in the Modern World
b. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the linear correlation
coefficient and the equation of the least-squares line for the tuition and fees at public 4-
year colleges and universities, based on the year.
c. Based on the linear correlation coefficients you found in parts a and b, are the
equations you wrote in parts a and b good models of the growth in tuition and fees at 4-
year colleges and universities?
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