Question
The table shows the number of painters and sculptors enrolled in seven art schools. Jashar makes an incorrect scatter plot to represent the data.
a) What error did jashar likely make?
b) Explain the relationship between the number of painters and sculptors enrolled in the art schools?
c) Jashar scatter plot shows two possible outliers , Identify them and explain why they are outliers?
Hint:
Outliers are a set of points that lie quite far away from the regression line. Their behavior is different from the rest of the data points.
We are asked to find the mistake Jashar made while plotting the points, relationship between the set of data and the outliers.
The correct answer is:
Step 1 of 3:
The mistake Jashar made is about what to mark on x-axis and y-axis.
He must have used the number of painters on the x-axis and the number of sculptors on the y-axis.
Step 2 of 3:
Analyzing the graph, we get to see that as the number of sculptors’ increase, there is an increase in the number of painters enrolled.
This shows a positive linear relation between the set of data.
Step 3 of 3:
The trend corresponding to the graph is:
Thus, the possible outliers are marked with the arrows; (33,43) and (45,20)
The reason for the formation of outliers are they deviate from the normal behavior of the data. In both the cases, they lie quite far away from the trend line.
Thus, the possible outliers are marked with the arrows; (33,43) and (45,20)
The reason for the formation of outliers are they deviate from the normal behavior of the data. In both the cases, they lie quite far away from the trend line.
The trend line has a postive association. Hence, the variables increase and decrease together.
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