Objective: The student will see the projection of data from two dimensions. The student will describe a scatter plot and how it changes in three dimensions.
Prerequisite: The student should know what a scatter plot is and the general behavior of a line of best fit.
NCTM Standards: Describe the shape of bivariant data.
Time: 15 minutes
Answers may vary.
1. Yes the points are close together and form a somewhat linear shape. This will result in a correlation close to -1. The slope appears to be negative.
2. This does not look like a strong correlation. The points are scattered.
3. This does not look like a strong correlation. The points are scattered
4. The six different pictures reflect looking at the cube from the top and bottom, right and left, and front and back. The correlation is the strongest when looking through the top and bottom of the cube.
5. When viewing X1 and X2 you are viewing the top or bottom of the cube.
6. When viewing Y and X1 you are viewing the front and back of the cube.