### MATH 105 Quiz 3

Name:
You may use a calculator on this quiz. You may not use a cell phone or computer. To receive full credit please show your work carefully and give justifications for your answers. If you find that you are spending a lot of time on one problem, leave it blank and move on to the next. There are questions on both sides of this page.
1. (20 points) Find the slope of a line passing through points (1,2) and (4, 23).

2. (20 points) Find the equation of the line that contains the points in the table:
 x 1 2 3 4 5 y 3 10 17 24 31

3. (20 points) A scatter plot is shown below. If the data appears linear, draw a line that fits the data. If you think a linear model would not represent the data well, explain why not.

4. The table below shows the average ocean wave heights for different years over three decades.
5.  Year 1962 1968 1974 1979 1984 Wave Height (ft) 6.9 7.6 7.7 9.3 8.9

a) (20 points) Which variable is the independent variable and which is the dependent variable? Why?

b) (20 points) Use the grid below to draw a scatter plot of the data with the independent variable along the horizontal axis and the dependent variable along the vertical axis.

Bonus (5 points) Give the equation of the line passing through the points (1,2) and (4,23).