BTry to find the point on the line of best fit that corresponds to shoe size 5.
AScatter Plot:
Example Line of Best Fit:
BSee solution.
Practice makes perfect
We are given a table that shows the results of a survey about women's shoe sizes and heights.
Height (inches) and Shoe Size
Shoe Size
Height
8
66
8
65
7 12
65
7
62
7
62
9
68
9
65
9
65
6 12
65
9
68
7 12
63
7
64
5 12
62
5
60
9
67
6
59
We are asked to construct a scatter plot and draw a line of best fit. To construct a scatter plot, we need to sketch each point from the table. For example, let's sketch the first point from the table ( 8, 66) on a coordinate plane. The horizontal axis will represent the shoe size and the vertical axis will represent the height.
In a similar way, we will now graph the other points from the table.
We constructed a scatter plot of the data! Now we will draw a line of best fit. Remember that we should try for the line to be as close to the data points as possible.
The points are very close to the line and a similar number of points is above and below the line. Therefore, this line is a line of best fit. Notice that, if you sketch a different line that is close to the data points, it would also be a correct answer.
In Part A, we drew the following line of best fit that relates women's shoe sizes and heights
We are asked to use this line to make a conjecture about the height of a female who wears a size 5 shoe. To do that, let's find a point which corresponds to a size 5 shoe.
Notice that this point is at the height of 60.
Therefore, we can make a conjecture that a female who wears a size 5 shoe has approximately height of 60. Note that if your line of best fit was different, then your conjecture will also be different.
