The table below shows average annual tuition and fees charged by American colleges and universities as well as federal student financial assistance for the years 1995 to 2005. Let x represent the number of years since 1995. Use the data in the table to answer the following question. Year 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 Tuition/fees public ($) 2057 2179 2271 23060 2430 2506 2562 2700 2903 3319 3629 Tuition/ fees private ($) 11111 11864 12498 12801 13428 14081 15000 15742 16383 17327 18154 Federal Assistance (million $) 35477 38865 40074 43072 40162 44007 48582 55525 62275 69053 72112 Set year 1995 to be x=0, so that Year 2005 is x=10. Use a graphic calculator, neter the years under L1 and enter public college and university tuition and fees under L2. Use the regression capabilities of your graphing calculator to find the linear modelof the public college and university tuition and fees as a function of year since 1995. Enter the linear regression insde box below. Round the slope and y-intercept to one decimal place. With the data still in your calculator from the first question, use the regression capabilities of your graphing calculator to find the correlation coefficient of the public college and univeristy tuition and feees as a function of year since 1995. Enter the answer inside the box below and round the answer to four decimal places. Set year 1995 to be x=0, so that Year 2005 is x=10. Use a graphic calculator, enter the years under L1 and enter private college and university tuition and fees under L2. Use the regression capabilities of your graphing calculator to find the linear model of the private college and university tuition and fees as a function of year since 1995. Enter the linear regression insde box below. Round the slope and y-intercept to one decimal place. With the data still in your calculator from the fprevious question, use the regression capabilities of your graphing calculator to find the correlation coefficient of the private college and univeristy tuition and feees as a function of year since 1995. Enter the answer inside the box below and round the answer to four decimal places. Set year 1995 to be x=0, so that Year 2005 is x=10. Use a graphic calculator, enter the years under L1 and enter federal assistance under L2. Use the regression capabilities of your graphing calculator to find the linear model of the federal assistance as a function of year since 1995. Enter the linear regression insde box below. Round the slope and y-intercept to one decimal place. With the data still in your calculator from the fprevious question, use the regression capabilities of your graphing calculator to find the correlation coefficient of the federal assistance as a function of year since 1995. Enter the answer inside the box below and round the answer to four decimal places.
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.
The table below shows average annual tuition and fees charged by American colleges and universities as well as federal student financial assistance for the years 1995 to 2005. Let x represent the number of years since 1995. Use the data in the table to answer the following question.
| Year | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 |
| Tuition/fees public ($) | 2057 | 2179 | 2271 | 23060 | 2430 | 2506 | 2562 | 2700 | 2903 | 3319 | 3629 |
| Tuition/ fees private ($) | 11111 | 11864 | 12498 | 12801 | 13428 | 14081 | 15000 | 15742 | 16383 | 17327 | 18154 |
| Federal Assistance (million $) | 35477 | 38865 | 40074 | 43072 | 40162 | 44007 | 48582 | 55525 | 62275 | 69053 | 72112 |
Set year 1995 to be x=0, so that Year 2005 is x=10. Use a graphic calculator, neter the years under L1 and enter public college and university tuition and fees under L2. Use the regression capabilities of your graphing calculator to find the linear modelof the public college and university tuition and fees as a
With the data still in your calculator from the first question, use the regression capabilities of your graphing calculator to find the
Set year 1995 to be x=0, so that Year 2005 is x=10. Use a graphic calculator, enter the years under L1 and enter private college and university tuition and fees under L2. Use the regression capabilities of your graphing calculator to find the linear model of the private college and university tuition and fees as a function of year since 1995. Enter the linear regression insde box below. Round the slope and y-intercept to one decimal place.
With the data still in your calculator from the fprevious question, use the regression capabilities of your graphing calculator to find the correlation coefficient of the private college and univeristy tuition and feees as a function of year since 1995. Enter the answer inside the box below and round the answer to four decimal places.
Set year 1995 to be x=0, so that Year 2005 is x=10. Use a graphic calculator, enter the years under L1 and enter federal assistance under L2. Use the regression capabilities of your graphing calculator to find the linear model of the federal assistance as a function of year since 1995. Enter the linear regression insde box below. Round the slope and y-intercept to one decimal place.
With the data still in your calculator from the fprevious question, use the regression capabilities of your graphing calculator to find the correlation coefficient of the federal assistance as a function of year since 1995. Enter the answer inside the box below and round the answer to four decimal places.
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