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? How do you know?
(1 point)
Responses
Yes, because the data points are not close to the trend line.
Yes, because the data points are not close to the trend line.
Yes, because the data points are close to the trend line.
Yes, because the data points are close to the trend line.
No, because the data points are close to the trend line.
No, because the data points are close to the trend line.
No, because the data points are not close to the trend line.
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.
Are there any outliers in the data shown on the scatterplot? If so, where?
(1 point)
Responses
Yes, at (74, 240)
Yes, at left parenthesis 74 comma 240 right parenthesis
No, there are no outliers in the data.
No, there are no outliers in the data.
Yes, at (74, 200)
Yes, at left parenthesis 74 comma 200 right parenthesis
Yes, at (65, 205)
Yes, at left parenthesis 65 comma 205 right parenthesis
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Question
Use the image to answer the question.
An illustration of a scatterplot graph shows x-axis ranging from 0 to 10 in increments of 1 and y-axis ranging from 0 to 10 in increments of 1. Multiple points are plotted around a line that points downward to the right with an arrowhead on the bottom.
The line passes approximately through left parenthesis 0 comma 9 right parenthesis, left parenthesis 4 comma 8 right parenthesis, left parenthesis 8 comma 7 right parenthesis, and left parenthesis 10 comma 6.5 right parenthesis. 12 points are plotted close to the line.
Write an equation in slope-intercept form of the trend line.
(1 point)
Responses
y=−14x+9
y equals negative Start Fraction 1 over 4 End Fraction x plus 9
y=1x+9
y equals 1 x plus 9
y=−14x
y equals negative Start Fraction 1 over 4 End Fraction x
y=−58x+9
y equals negative Start Fraction 5 over 8 End Fraction x plus 9
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Question
Use the image to answer the question.
A scatterplot graph shows x-axis ranging from 0 to 100 and y-axis ranging from 0 to 50. Both axes are drawn in increments of 5 but labeled in increments of 10. Multiple points are plotted around a line that points upward to the right.
The line passes through left parenthesis 0 comma 30 right parenthesis, left parenthesis 15 comma 40 right parenthesis, and left parenthesis 30 comma 50 right parenthesis. 14 points are plotted close to or on the line. The line has an arrowhead on the top of it.
Write an equation in slope-intercept form of the trend line.
(1 point)
Responses
y=34x+30
y equals Start Fraction 3 over 4 End Fraction x plus 30
y=23x+30
y equals Start Fraction 2 over 3 End Fraction x plus 30
y=23x+40
y equals Start Fraction 2 over 3 End Fraction x plus 40
y=−23x+30
y equals negative Start Fraction 2 over 3 End Fraction x plus 30
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Question
Use the image to answer the question.
A scatterplot graph shows x-axis ranging from 0 to 50 and y-axis ranging from 0 to 10. Multiple points are plotted around a line that points downward to the right with an arrowhead on the bottom.
The x-axis is drawn in increments of 5 but labeled in increments of 10. The y-axis is drawn in increments of 1 but labeled in increments of 2. The line passes approximately through left parenthesis 0 comma 8 right parenthesis, left parenthesis 10 comma 6 right parenthesis, left parenthesis 15 comma 5 right parenthesis, left parenthesis 20 comma 4 right parenthesis, left parenthesis 25 comma three right parenthesis, and left parenthesis 40 comma 0 right parenthesis. 14 points are plotted close to or on the line.
Write an equation in slope-intercept form of the trend line.
(1 point)
Responses
y=5.67x+8
y equals 5.67 x plus 8
y=−15x+8
y equals negative Start Fraction 1 over 5 End Fraction x plus 8
y=15x+8
y equals Start Fraction 1 over 5 End Fraction x plus 8
y=−15x+3
y equals negative Start Fraction 1 over 5 End Fraction x plus 3
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3 answers
Question 1
Is there a relationship between the two sets of data? How do you know?
Response:
Yes, because the data points are close to the trend line.
Question 2
Are there any outliers in the data shown on the scatterplot? If so, where?
Response:
Yes, at (74, 240).
Question 3
Write an equation in slope-intercept form of the trend line for the first scatterplot mentioned in the question.
Response:
y = -14x + 9
Question 4
Write an equation in slope-intercept form of the trend line for the second scatterplot described.
Response:
y = (2/3)x + 30
Question 5
Write an equation in slope-intercept form of the trend line for the last scatterplot described.
Response:
y = -1/5x + 8
Feel free to ask if you have any questions or need further clarification on any of the responses!
Correct!
1. Is there a relationship between the two sets of data?
Based on the information you provided (11 points plotted and their general pattern), we can say:
The points appear to be close to a trend line. This suggests that there is a relationship between the x and y values.
Correct Answer:
Yes, because the data points are close to the trend line.
2. Are there any outliers in the data shown on the scatterplot?
Outliers are points that do not follow the general trend of the rest of the data. Looking at the points:
The points (74, 200) and (74, 240) appear far from the other points on the trend line, suggesting that these could be outliers.
Correct Answer:
Yes, at (74, 200) and Yes, at (74, 240)
3. Write an equation in slope-intercept form of the trend line (first graph).
From your description, the line passes through the points:
(0, 9)
(4, 8)
(8, 7)
(10, 6.5)
We already know the slope is -1/4 and the y-intercept is 9. So, the equation is:
y
=
−
1
4
x
+
9
y=−
4
1
x+9
Correct Answer:
y = -\frac{1}{4}x + 9
4. Write an equation in slope-intercept form of the trend line (second graph).
Here the line passes through:
(0, 30)
(15, 40)
(30, 50)
The slope can be calculated as:
y
=
2
3
x
+
30
y=
3
2
x+30
Correct Answer:
y = \frac{2}{3}x + 30
5. Write an equation in slope-intercept form of the trend line (third graph).
The line passes through:
(0, 8)
(10, 6)
(15, 5)
(20, 4)
(25, 3)
(40, 0)
The slope can be calculated as:
1 answer