Use the image to answer the question.
An illustration shows a scatterplot titled Attendance. The x-axis shows days ranging from 0 through 11 in increments of one. 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 1 comma 725 right parenthesis, left parenthesis 2 comma 675 right parenthesis, left parenthesis 3 comma 700 right parenthesis, left parenthesis 4 comma 750 right parenthesis, left parenthesis 5 comma 650 right parenthesis, left parenthesis 6 comma 675 right parenthesis, left parenthesis 7 comma 700 right parenthesis, left parenthesis 8 comma 725 right parenthesis, left parenthesis 9 comma 725 right parenthesis, and left parenthesis 10 comma 650 right parenthesis.
The city zoo graphed the attendance of patrons over a two-week period of time. Interpret the scatterplot to determine what type of association the scatterplot shows.
(1 point)
Responses
A The graph shows a positive association.
B The graph is non-linear.
C The graph shows a negative association.
D The graph shows a linear association.
B The graph is non-linear.
To interpret the scatterplot, we need to analyze the pattern of the plotted points. Looking at the points on the scatterplot, we can see that as the days increase from left to right on the x-axis, the number of patrons generally fluctuates but does not consistently increase or decrease. Similarly, there is no clear pattern or relationship between the days and the number of patrons. Therefore, we can conclude that the scatterplot does not show a linear association.
Since the scatterplot does not show a clear positive or negative association, we can determine that the scatterplot is non-linear.
Therefore, the correct response is B) The graph is non-linear.
To interpret the scatterplot and determine what type of association it shows, you can analyze the overall pattern and direction of the points.
Looking at the scatterplot, you can see that there is no clear pattern or trend in the points. They seem to be randomly scattered across the graph without following any specific shape or form. This suggests that there is no strong association between the two variables being plotted.
Furthermore, there is no clear alignment of the points along a straight line, indicating that the data is not linearly correlated. In other words, there is no straightforward relationship between the number of days and the number of patrons at the zoo.
Based on these observations, the correct answer would be:
B. The graph is non-linear.