Determine which table has a non-linear association by graphing it on a scatterplot.(1 point)
Responses
A x 15 35 60 40 45 90 85 50 75 80
y 100 150 250 175 180 500 475 225 350 400
x 10 5 65 25 100 110 95
y 95 50 275 105 600 650 575x 15 35 60 40 45 90 85 50 75 80 y 100 150 250 175 180 500 475 225 350 400 x 10 5 65 25 100 110 95 y 95 50 275 105 600 650 575
B x 15 35 60 40 45 90 85 50 75 80
y 100 150 250 175 300 475 375 225 350 300
x 10 5 65 25 100 110 95
y 95 525 275 450 250 250 300x 15 35 60 40 45 90 85 50 75 80 y 100 150 250 175 300 475 375 225 350 300 x 10 5 65 25 100 110 95 y 95 525 275 450 250 250 300
C x 15 35 60 40 45 90 85 50 75 80
y 100 150 250 175 180 375 375 225 350 400
x 10 5 65 25 100 110 95
y 95 50 275 105 250 175 300x 15 35 60 40 45 90 85 50 75 80 y 100 150 250 175 180 375 375 225 350 400 x 10 5 65 25 100 110 95 y 95 50 275 105 250 175 300
D x 100 150 250 175 300 475 375 225 350 300
y 15 35 60 40 45 90 85 50 75 90
x 100 525 600 450 250 125 50
y 95 25 25 35 110 250 300
The table that has a non-linear association is table B.
To determine which table has a non-linear association by graphing it on a scatterplot, we can analyze the given tables and plot the points on a scatterplot to see the relationship between the variables.
Let's plot the points for each table on a scatterplot:
Table A:
x: 15, 35, 60, 40, 45, 90, 85, 50, 75, 80
y: 100, 150, 250, 175, 180, 500, 475, 225, 350, 400
Table B:
x: 15, 35, 60, 40, 45, 90, 85, 50, 75, 80
y: 100, 150, 250, 175, 300, 475, 375, 225, 350, 300
Table C:
x: 15, 35, 60, 40, 45, 90, 85, 50, 75, 80
y: 100, 150, 250, 175, 180, 375, 375, 225, 350, 400
Table D:
x: 100, 150, 250, 175, 300, 475, 375, 225, 350, 300
y: 15, 35, 60, 40, 45, 90, 85, 50, 75, 90
Now, let's plot the points for each table on a scatterplot:
Table A:
scatterplot of points: (x, y)
(15, 100), (35, 150), (60, 250), (40, 175), (45, 180), (90, 500), (85, 475), (50, 225), (75, 350), (80, 400)
Table B:
scatterplot of points: (x, y)
(15, 100), (35, 150), (60, 250), (40, 175), (45, 300), (90, 475), (85, 375), (50, 225), (75, 350), (80, 300)
Table C:
scatterplot of points: (x, y)
(15, 100), (35, 150), (60, 250), (40, 175), (45, 180), (90, 375), (85, 375), (50, 225), (75, 350), (80, 400)
Table D:
scatterplot of points: (x, y)
(100, 15), (150, 35), (250, 60), (175, 40), (300, 45), (475, 90), (375, 85), (225, 50), (350, 75), (300, 90)
Now, let's analyze the scatterplots:
In the scatterplot for table A, the points appear to form a linear pattern, suggesting a linear association between the variables.
In the scatterplot for table B, the points do not form a clear linear pattern. There is some variation in the y-values for the same x-value, indicating a non-linear association between the variables.
In the scatterplot for table C, the points also do not form a clear linear pattern. Although there is some overlap with the scatterplot for table A, there is still variation in the y-values for the same x-value, suggesting a non-linear association between the variables.
In the scatterplot for table D, the points also do not form a clear linear pattern. The points appear to be scattered around the plot, indicating a non-linear association between the variables.
Based on the scatterplots, table B, table C, and table D all exhibit a non-linear association between the variables.
To determine which table has a non-linear association, we can graph each table on a scatterplot and observe the pattern of the data points.
Let's start with Table A:
A x: 15 35 60 40 45 90 85 50 75 80
A y: 100 150 250 175 180 500 475 225 350 400
Plotting the points (x, y) from Table A on a scatterplot, we get:
(15, 100)
(35, 150)
(60, 250)
(40, 175)
(45, 180)
(90, 500)
(85, 475)
(50, 225)
(75, 350)
(80, 400)
Next, let's plot Table B:
B x: 15 35 60 40 45 90 85 50 75 80
B y: 100 150 250 175 300 475 375 225 350 300
Plotting the points (x, y) from Table B on a scatterplot, we get:
(15, 100)
(35, 150)
(60, 250)
(40, 175)
(45, 300)
(90, 475)
(85, 375)
(50, 225)
(75, 350)
(80, 300)
Now, let's plot Table C:
C x: 15 35 60 40 45 90 85 50 75 80
C y: 100 150 250 175 180 375 375 225 350 400
Plotting the points (x, y) from Table C on a scatterplot, we get:
(15, 100)
(35, 150)
(60, 250)
(40, 175)
(45, 180)
(90, 375)
(85, 375)
(50, 225)
(75, 350)
(80, 400)
Finally, let's plot Table D:
D x: 100 150 250 175 300 475 375 225 350 300
D y: 15 35 60 40 45 90 85 50 75 90
Plotting the points (x, y) from Table D on a scatterplot, we get:
(100, 15)
(150, 35)
(250, 60)
(175, 40)
(300, 45)
(475, 90)
(375, 85)
(225, 50)
(350, 75)
(300, 90)
By observing the scatterplots for each table, we can see that Table B has a non-linear association. The data points do not form a straight line, suggesting a non-linear relationship between the variables x and y.
Therefore, Table B has a non-linear association.