Use the tables to create scatterplots and determine which scatterplot shows a linear association.(1 point)
Responses
A
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
B
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
C
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
D
x 5 8 2 4 6 12 10 1 3 7
y 550 800 250 500 500 400 650 150 400 750
To determine which scatterplot shows a linear association, we need to visually inspect the scatterplots.
A: Scatterplot A does not show a clear linear pattern. The points are scattered and do not appear to follow a straight line.
B: Scatterplot B also does not show a linear pattern. The points are scattered and do not seem to follow a straight line.
C: Scatterplot C shows a clear linear pattern. The points are closely clustered around a straight line that sloped upwards from left to right.
D: Scatterplot D does not show a linear pattern. The points are scattered and do not indicate a clear linear trend.
Based on our analysis, the scatterplot that shows a linear association is C.
To determine which scatterplot shows a linear association, we need to look at the pattern of the points on the graph.
A:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 350 450 700 1000 900 250 400 750
B:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 300 700 1000 650 300 100 700
C:
x: 5 8 2 4 6 12 10 1 3 7
y: 800 700 350 450 500 1000 900 250 400 750
D:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 500 500 400 650 150 400 750
To determine if the scatterplot shows a linear association, we need to check if the points form a clear trend or line. In this case, scatterplot D shows a linear association. The points on the graph are relatively close to forming a straight line.
Therefore, scatterplot D shows a linear association.
To determine which scatterplot shows a linear association, we need to examine the relationship between the x-values and y-values in each scatterplot.
In a linear association, there is a consistent and proportional change in y for each increase in x. This means that if we were to draw a line of best fit through the data points, it would be a straight line.
Let's analyze each scatterplot:
A:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 350 450 700 1000 900 250 400 750
This scatterplot does not show a clear linear association since the data points do not follow a straight line pattern.
B:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 300 700 1000 650 300 100 700
Again, this scatterplot does not show a linear association as the data points are not aligned in a straight line.
C:
x: 5 8 2 4 6 12 10 1 3 7
y: 800 700 350 450 500 1000 900 250 400 750
This scatterplot also does not demonstrate a linear association since the data points are not consistently following a straight line.
D:
x: 5 8 2 4 6 12 10 1 3 7
y: 550 800 250 500 500 400 650 150 400 750
The data points in this scatterplot do not form a straight line, indicating the absence of a linear association.
Therefore, none of the scatterplots in A, B, C, or D show a linear association.