Scatter Plots & Data Analysis Unit Test
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Question
Use the image to answer the question.
An illustration shows a scatterplot titled Attendance. The x-axis shows days ranging from 0 through 110 in increments of ten. The y-axis shows number of patrons and ranges from 600 to 800 in 25 unit increments.
Ten points are plotted on the graph. A kink is shown on both the x- and y-axes close to the origin to indicate a break in the data. The points are plotted at approximate coordinates left parenthesis 10 comma 725 right parenthesis, left parenthesis 20 comma 675 right parenthesis, left parenthesis 30 comma 700 right parenthesis, left parenthesis 40 comma 750 right parenthesis, left parenthesis 50 comma 650 right parenthesis, left parenthesis 60 comma 675 right parenthesis, left parenthesis 70 comma 700 right parenthesis, left parenthesis 80 comma 725 right parenthesis, left parenthesis 90 comma 725 right parenthesis, and left parenthesis 100 comma 650 right parenthesis.
A petting zoo graphed the average attendance of patrons every 10 days over a 100 day period of time. Interpret the scatterplot to determine what type of association the scatterplot shows.
(1 point)
Responses
The graph is non-linear.
The graph is non-linear.
The graph shows a linear association.
The graph shows a linear association.
The graph shows a positive association.
The graph shows a positive association.
The graph shows a negative association.
11 answers
3 of 153 of 15 Items
Question
Interpret the scatterplot to determine what type of association the scatterplot shows.
(1 point)
Responses
non-linear association
non-linear association
no association
no association
linear association
linear association
negative association
4 of 154 of 15 Items
Question
Use the table to create a scatterplot. Determine the type of association.
x
25 30 80 150 250 350 425 450 500
y
375 225 120 75 50 100 175 275 400
(1 point)
Responses
no association
no association
linear association
linear association
negative linear association
negative linear association
non-linear association
5 of 155 of 15 Items
Question
Use the image to answer the question.
An illustration of a scatterplot shows x on x-axis from 65 to 75 in increments of 1 and y on the y-axis from 200 to 240 in increments of 2.5. Eleven points are plotted. The approximate plotted points are as follows: left parenthesis 65 comma 205 right parenthesis, left parenthesis 67 comma 216 right parenthesis, left parenthesis 68 comma 210 right parenthesis, left parenthesis 68 comma 218 right parenthesis, left parenthesis 69 comma 224 right parenthesis, left parenthesis 70 comma 220 right parenthesis, left parenthesis 70 comma 224 right parenthesis, left parenthesis 71 comma 230 right parenthesis, left parenthesis 72 comma 235 right parenthesis, left parenthesis 74 comma 200 right parenthesis, and left parenthesis 74 comma 240 right parenthesis.
Is there a relationship between the two sets of data? Choose 1 for yes and 2 for no.
(1 point)
6 of 156 of 15 Items
Question
Use the image to answer the question.
An illustration of a scatterplot graph is titled Animal Longevity. It shows x-axis, labeled as average, ranging from 0 to 45 in increments of 5 and y-axis, labeled as maximum, ranging from 0 to 80 in increments of 10.
Multiple points are plotted around a line that points upward to the right with an arrowhead on the top. The line passes approximately through left parenthesis 0 comma 20 right parenthesis, left parenthesis 15 comma 40 right parenthesis, left parenthesis 30 comma 60 right parenthesis, and left parenthesis 40 comma 78 right parenthesis. Two dotted lines are drawn forming a triangle under the line with the line being the hypotenuse. The dotted lines are drawn from left parenthesis 15 comma 40 right parenthesis to left parenthesis 30 comma 40 right parenthesis and from left parenthesis 30 comma 60 right parenthesis to left parenthesis 30 comma 40 right parenthesis. 8 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
(1 point)
y=
We can do this by selecting two points from the line. Let's use (0, 20) and (40, 78):
m = (Change in y) / (Change in x) = (78 - 20) / (40 - 0) = 58 / 40 = 29 / 20
Now we can plug in one of the points to find the y-intercept:
y = mx + b (using point (0, 20))
20 = (29/20)(0) + b
b = 20
Therefore, the equation of the trend line is:
y = (29/20)x + 20
7 of 157 of 15 Items
Question
Use the image to answer the question.
An illustration of a scatterplot graph shows x-axis ranging from 0 to 15 in increments of 1 and y-axis ranging from 0 to 75 in increments of 5. Multiple points are plotted and a line points upward to the right with an arrowhead on the top.
The line passes approximately through left parenthesis 0 comma 25 right parenthesis, left parenthesis 1 comma 30 right parenthesis, left parenthesis 2 comma 35 right parenthesis, left parenthesis 7 comma 60 right parenthesis, and left parenthesis 10 comma 75 right parenthesis. 5 points are plotted to the line.
Write an equation in slope-intercept form of the trend line.
(1 point)
y=
We can do this by selecting two points from the line. Let's use (0, 25) and (10, 75):
m = (Change in y) / (Change in x) = (75 - 25) / (10 - 0) = 50 / 10 = 5
Now we can plug in one of the points to find the y-intercept:
y = mx + b (using point (0, 25))
25 = 5(0) + b
b = 25
Therefore, the equation of the trend line is:
y = 5x + 25