Question
Use the given scatter plots to answer the questions.
a) Does this scatter plot show a positive association, negative association, or non-association? Explain why.
b) Is there an outlier(s) in this data set? If so, approximately how much time does that person(s) spend with his or her family daily and what is his or her approximate math grade?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between the amount of time that you spend with your family and your math grade?
Hint:
An outlier for a scatter plot is the point or the set of points that are farthest from the regression line.
If the trend line has a positive slope, then the scatter plot has a positive association.
We are asked to check whether the association is positive or negative, existence of an outlier, the behavior of the graph and the relationship between the data set.
The correct answer is: We are asked to check whether the association is positive or negative, existence of an outlier, the behavior of the graph and the relationship between the data set.
ANSWER:
Step 1 of 4:
The trend line corresponding to the graph is:
Here, the slope of the trend line is positive. Hence, the corresponding association is positive.
That is, the scatter plot has a positive association.
Step 2 of 4:
Yes, there are three outliers in the given graph.
Person A spends approximately fifteen minutes with the family daily and has an approximate grade of 75%.
Person B spends around 40 minutes daily among his family and has a grade point of approximately 92%.
Person C spends around 95 minutes with his family daily and has a grade around 95%.
Step 3 of 4:
The give graph has linear behavior. The points are almost arranged in a straight line and there is not any curve pattern. Moreover, approximation of a trend line is possible for the given graph.
Step 4 of 4:
Analyzing the graph, it is almost clear that as the students increase the time spend with their family, their grades also increases.
That is, there exists a positive linear relation among the set of data.
Here, the slope of the trend line is positive. Hence, the corresponding association is positive.
That is, the scatter plot has a positive association.
Step 2 of 4:
Yes, there are three outliers in the given graph.
Person A spends approximately fifteen minutes with the family daily and has an approximate grade of 75%.
Person B spends around 40 minutes daily among his family and has a grade point of approximately 92%.
Person C spends around 95 minutes with his family daily and has a grade around 95%.
Step 3 of 4:
The give graph has linear behavior. The points are almost arranged in a straight line and there is not any curve pattern. Moreover, approximation of a trend line is possible for the given graph.
Step 4 of 4:
Analyzing the graph, it is almost clear that as the students increase the time spend with their family, their grades also increases.
That is, there exists a positive linear relation among the set of data.
If a graph has a positive linear behavior, then the points would be arranged in almost a straight line with an upward trend line. The gradient measure of a line is called its slope.
