With solutions The table below 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. (Source: National Center for Education Statistics). 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 equation of the regression line for the tuition and fees at private 4-year colleges and universities, based on the year. b. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the correlation coefficient for the tuition and fees at public 4-year colleges and universities, based on the year.
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.
With solutions
The table below 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. (Source: National Center for Education Statistics).
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 equation of the regression line for the tuition and fees at private 4-year colleges and universities, based on the year.
b. Using 1 for 2009-2010, 2 for 2010-2011, and so on, find the
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