Practice Test
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Plot the points on a coordinate plane and draw a line that is close to most of them.
Use two points on the line to find its slope.
What do x and y represent?
Use the equation obtained in Part C.
Example Graph:
Example Equation: y=1.5x+7
See solution.
17.5 pounds.
We are given a table that shows the weight of a baby over several months. With this data, we want to make a scatter plot and draw a line of fit. Let's start by considering the given table.
| Age (months) | Weight (pounds) |
|---|---|
| 1 | 8 |
| 2 | 9.25 |
| 3 | 11.75 |
| 4 | 13 |
| 5 | 14.5 |
| 6 | 16 |
We can think of this data as ordered pairs and plot the points on a coordinate plane.
A line of fit is a line drawn on a scatter plot that is close to most of the data points. It can be used to estimate data on a graph. Keep in mind that this line does not actually need to pass through any of the data points.
Let's now find the equation of our line. To do so, we will need to use two points that fall on the line. It is always easier to choose points that belong to the given data set. We can use the points (4,13) and (6,16).
x= 4, y= 13
Multiply
LHS-6=RHS-6
Subtract term
Rearrange equation
y= 1.5x+ 7 We can interpret each part of this equation in the given context.