Kilauea, on the island of Hawaii, is the world’s most active volcano. It sits on top of what geologists call a hot spot. All of the volcanoes on the other Hawaiian Islands have come from this same hot spot. The table in your book shows the ages of some Hawaiian volcanoes compared to their distance from the Kilauea hot spot.

1. Plot the data. Let the \(x\)-axis represent the distance in kilometers from Kilauea, and the \(y\)-axis represent age. Is the data linear?

2. Draw a line of best fit for this data. Determine the slope of this line and give an equation that could represent the line.

Scientists in Costa Rica have been counting the number of leatherback turtles in Playa Grande each year. The results from 1988 to 1996 are displayed in the table in your book.

1. Use the data in the table to construct a scatter plot. Is the data linear?

2. Draw a regression line for the data.

3. What does the slope of the line tell us about the data?

The table in your book shows the national air pollutant emissions for carbon monoxide from 1970 to 2008.

1. Plot the data and draw a linear regression line.

2. Use your scatter plot to find the coordinates of the regression line in 1980 and in 2005.

3. Use the coordinates from part b to find an equation for the regression line.

4. Use your equation to predict the emissions in 1995 and in 2035.

Without a calculator, calculate the least squares regression line for the following data points: \[(2,4), (3,2), (5,5), (6,9), (8,7), (9,10)\]