Question

1. describe the relationship between the data. identify any outliers, gaps, or clusters.
2. 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:

Step1: Analyze problem 4a

We need to plot points on a graph where x - axis is minutes and y - axis is number of students. For example, when minutes = 0, number of students = 56. We plot the point (0,56) and so on for all data pairs from the table.

Step2: Analyze problem 4b

To describe the relationship, we look at the general trend of the plotted points. If as minutes increase, number of students generally decreases, it is a negative relationship. If it increases, it is a positive relationship. If there is no clear trend, it is no relationship.

Step3: Analyze problem 5a

We look at the scatter - plot of apples and bushels. We find the value on the x - axis (apples) corresponding to 350 and then see the corresponding y - axis value (bushels). We may need to estimate if 350 is not an exact value on the x - axis scale.

Step4: Analyze problem 5b

We find the value on the y - axis (bushels) corresponding to 8 and then see the corresponding x - axis value (apples) to estimate the number of apples in 8 bushels.

Step5: Analyze problem 5c

Similar to 4b, we look at the overall trend of the scatter - plot points to describe the relationship between the number of apples and the number of bushels filled.

Answer:

4a) Plot points (0,56),(5,45),(9,39),(15,24),(23,17),(26,6),(32,0) on the given graph.
4b) The relationship needs to be determined by observing the plotted points. If the points generally go downwards from left - to - right, there is a negative relationship between minutes and number of students remaining on the bus.
5a) Estimate the y - value (bushels) corresponding to x = 350 on the scatter - plot.
5b) Estimate the x - value (apples) corresponding to y = 8 on the scatter - plot.
5c) The relationship needs to be determined by observing the overall trend of the scatter - plot points. If as the number of apples increases, the number of bushels filled also increases, it is a positive relationship.