Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point) Responses x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 300 700 1000 650 300 100 700x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 300 700 1000 650 300 100 700 x 5 8 2 4 6 12 10 1 3 7 y 550 800 350 450 700 1000 900 250 400 750x 5 8 2 4 6 12 10 1 3 7 y 550 800 350 450 700 1000 900 250 400 750 x 5 8 2 4 6 12 10 1 3 7 y 800 700 350 450 500 1000 900 250 400 750x 5 8 2 4 6 12 10 1 3 7 y 800 700 350 450 500 1000 900 250 400 750 x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 500 500 400 650 150 400 750x 5 8 2 4 6 12 10 1 3 7 y 550 800 250 500 500 400 650 150 400 750 Skip to navigation
To determine which scatterplot shows a linear association, we need to look for a pattern where the points appear to fall along a straight line.
Looking at the scatterplots:
Scatterplot 1:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 300 700 1000 650 300 100 700
Scatterplot 2:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 300 700 1000 650 300 100 700
Scatterplot 3:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 350 450 700 1000 900 250 400 750
Scatterplot 4:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 350 450 700 1000 900 250 400 750
Scatterplot 5:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 500 500 400 650 150 400 750
Scatterplots 1 and 2 have identical data, so they will show the same linear association. Similarly, scatterplots 3 and 4 have identical data, and scatterplot 5 has different data.
Therefore, scatterplots 1 and 2 show a linear association.
theres only 4
Apologies for the mistake. Let's focus on the four scatterplots provided:
Scatterplot 1:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 300 700 1000 650 300 100 700
Scatterplot 2:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 350 450 700 1000 900 250 400 750
Scatterplot 3:
x: 5 8 2 4 6 12 10 1 3 7
y: 800 700 350 450 500 1000 900 250 400 750
Scatterplot 4:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 500 500 400 650 150 400 750
After examining these scatterplots, it appears that Scatterplot 3 exhibits a linear association. The points on this scatterplot seem to align along a relatively straight line, suggesting a strong linear correlation between x and y.
To determine which scatterplot shows a linear association, we need to create the scatterplots using the given table values.
Let's start by plotting the data points for the first set of values:
x: 5, 8, 2, 4, 6, 12, 10, 1, 3, 7
y: 550, 800, 250, 300, 700, 1000, 650, 300, 100, 700
Plotting these points on a graph, we get a scatterplot. Repeat the process for the other sets of values.
Once we have all the scatterplots, we can visually inspect them to determine which one shows a linear association. Look for a pattern where the points form a straight line or a near straight line. A linear association indicates that there is a strong relationship between the x and y values, and they can be described by a linear equation.
Analyzing each scatterplot:
1. Scatterplot 1: This scatterplot shows a clear linear association because the points are closely aligned in a straight line from the lower left to the upper right.
2. Scatterplot 2: This scatterplot does not show a linear association. The points are randomly scattered without any clear pattern or alignment.
3. Scatterplot 3: This scatterplot also does not show a linear association. The points are scattered randomly and do not form a discernable pattern.
4. Scatterplot 4: This scatterplot shows a slight linear association. Though the points are not perfectly aligned, they form a general trend that approximates a straight line from the lower left to the upper right.
5. Scatterplot 5: This scatterplot does not show a linear association. The points are scattered randomly without any obvious pattern or alignment.
Based on the analysis, Scatterplot 1 shows the strongest linear association among the given options.