sections 2.5-2.5b chapter 2. objectives to draw scatter plots. to find and use prediction equations....
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SECTIONS 2 .5 -2 .5B
Chapter 2
Objectives
To draw scatter plots. To find and use prediction equations.Using a graphing calculator to graph lines of
regression.
Scatter Plot
Time (in minutes) Depth (in
cm)
2 7
4 8
6 13
8 19
10 20
12 24
14 32
16 37
18 38
20 41
22 47
Emily measured the depth of water in a bathtub at two-minute intervals after the tap was turned on. The table shows her data. Make a scatter plot for the data.
Scatter Plot
How do we create a scatter plot? 1. If a table is not created , create a table containing all the data.
2. Plot each row of your data as (x, y) coordinates.
Scatter Plot
Time (in
mins)
Depth (in cm)
2 7
4 8
6 13
8 19
10 20
12 24
14 32
16 37
18 38
20 41
22 47
Objectives
To draw scatter plots. To find and use prediction equations.Using a graphing calculator to graph lines of
regression.
Scatter Plot
A scatter plot is a graph made by plotting _______________ in a coordinate plane to show the ______________ between two sets of data.
ordered pairsrelationship
When real-life data is collected, the points graphed usually do not form a straight line, but may ____________a linear relationship. When this is the case, a ____________ can be drawn.
approximatebest-fit line
Best-fit Line
Prediction Equation
A prediction equation can be found by using a similar process that we have used to determine an equation of a line when given two points.
We can use the predication equation to estimate, or _______, one of the variables given the other.
predict
Prediction Equation
Steps:1. Find 2 points on your
best-fit line.
2. Find the slope
3. Use point-slope form
(4, 8) and (18, 38)
m = = =
(y-y1) = m(x-x1)(y-8) = (x-4)y-8 = x – 60/7+8 +8
y = x – 4/7
Objectives
To draw scatter plots. To find and use prediction equations.Using a graphing calculator to graph lines of
regression.
Graphing Technology
You can use a graphing calculator to draw scatter plots and a line that best fits the points in the scatter plot. This line is called a regression line.
Exercises
On page 102, complete #1-3 on a separate sheet of paper and hand in.
Objectives
To draw scatter plots. To find and use prediction equations.Using a graphing calculator to graph lines of
regression.