Exam 1: Linear Functions, Equations, and Inequalities

The table lists the average cost (in dollars) of tuition and fees at private four-year colleges for selected years. (Source: The College Board) (a) Find the least-squares regression line for the data. Give the correlation coefficient. (b) Use this line to predict the average annual cost of tuition and fees in 2002.

During the period from 1996 to 2006 the average annual cost (in dollars) of tuition and fees at private four-year colleges rose in an approximately linear fashion. The graph depicts this growth using a line segment. (Source: The College Board) (a) Use the midpoint formula to approximate the cost during the year 2001. (b) Find the slope of the line and explain its meaning in the context of this situation.

The table lists the period of revolution (in days) of each planet and the mean distance of the sun (in millions of miles) from each planet. (a) Find the least-squares regression line for the data. Give the correlation coefficient. (b) Use this line to predict the period of revolution of an asteroid that has a mean distance of 260 million miles from the sun.

Give the equations of both the horizontal and vertical lines passing through the point $(-2,12)$ .