Question

1. describe the relationship between the data. identify any outliers, gaps, or clusters.

a) family size and laundry loads graph
b) monitor size and price graph

1. the table shows the numbers of students remaining on an after - school bus and the numbers of minutes since leaving the school.

minutes: 0, 5, 9, 15, 23, 26, 32
number of students: 56, 45, 39, 24, 17, 6, 0
a) plot the data from the table on the graph.
b) describe the relationship between the two data sets.

1. the scatter plot shows the numbers of bushels filled and the numbers of apples picked.

a) how many bushels are needed for 350 apples?
b) about how many apples can be placed in 8 bushels?
c) describe the relationship shown by the data.

Explanation:

4a) Plotting Data

We take the values of "Minutes" as the x - coordinates and the values of "Number of students" as the y - coordinates. For example, when Minutes = 0, Number of students = 56, so we plot the point (0, 56) on the graph. Repeat this for all pairs of values in the table.

4b) Describing Relationship

As the number of minutes since leaving school increases, the number of students remaining on the bus generally decreases. So, there is a negative correlation between the two data - sets.

5a) Estimating Bushels for Apples

We look at the scatter - plot of bushels filled and apples picked. We try to find the trend of the data points. If we assume a linear relationship (by visually estimating the line of best fit), we find the number of bushels corresponding to 350 apples. Let's say by looking at the graph, if we draw a vertical line at x = 350 (where x is the number of apples) and see where it intersects the trend of the data points, we might estimate the number of bushels. Suppose we estimate it to be around 7 bushels.

5b) Estimating Apples in Bushels

Similarly, for 8 bushels, we draw a horizontal line at y = 8 (where y is the number of bushels filled) and see where it intersects the trend of the data points. Then we read the corresponding x - value (number of apples). Let's say we estimate it to be around 300 apples.

5c) Describing Relationship

As the number of apples picked increases, the number of bushels filled also increases. So, there is a positive correlation between the number of apples picked and the number of bushels filled.

Answer:

4a) Plot the points as described above on the given graph.
4b) There is a negative correlation between the number of minutes since leaving school and the number of students remaining on the bus.
5a) Approximately 7 bushels are needed for 350 apples.
5b) About 300 apples can be placed in 8 bushels.
5c) There is a positive correlation between the number of apples picked and the number of bushels filled.