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 in this data set? If so, approximately how much does that person watch TV 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 you watch TV and your math grade?
Hint:
An outlier for a scatter plot is the point that is farthest from the regression line.
If the trend line has a negative slope, then the scatter plot has a negative 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:
Analyzing the line in comparison to the points, it’s clear that the line has a negative slope (a downward line). Thus, the line has a negative association.
Step 2 of 4:
Yes, there is an outlier in the graph.
The person watches TV for approximately five and a half hours and has an approximate grade of 97%.
Step 3 of 4:
The given graph shows a linear behavior. A particular nonlinearity or curvature cannot be observed in the graph. Moreover, a trend line can be approximated for the scatter plot, which is possible for a linear graph.
Step 4 of 4:
It is clearly evident from the graph that, as the watching hour’s increases, the grades drop slowly but steadily.
Thus, we can say that the set of data has a negative linear relation.
Analyzing the line in comparison to the points, it’s clear that the line has a negative slope (a downward line). Thus, the line has a negative association.
Step 2 of 4:
Yes, there is an outlier in the graph.
The person watches TV for approximately five and a half hours and has an approximate grade of 97%.
Step 3 of 4:
The given graph shows a linear behavior. A particular nonlinearity or curvature cannot be observed in the graph. Moreover, a trend line can be approximated for the scatter plot, which is possible for a linear graph.
Step 4 of 4:
It is clearly evident from the graph that, as the watching hour’s increases, the grades drop slowly but steadily.
Thus, we can say that the set of data has a negative linear relation.
A slope is the measure of the steepness of a line. If a graph has a negative association, then the set of data has a negative relation. That is, they are inversely proportional.
Related Questions to study
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2.4x-9<1.8x+6
Note:
Whenever you divide or multiply an inequality with a negative number, you change the direction of the symbol used.
Solve the inequality and graph the solution :
2.4x-9<1.8x+6
Note:
Whenever you divide or multiply an inequality with a negative number, you change the direction of the symbol used.
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 in this data set? If so, approximately how old is the outlier and about how many minutes does he or she spend with family per day?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your age and the amount of time that you spend with family?
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 in this data set? If so, approximately how old is the outlier and about how many minutes does he or she spend with family per day?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your age and the amount of time that you spend with family?
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 in this data set? If so, approximately how old is the outlier and how about many minutes does he or she study per day?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your age and the amount that you study?
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 in this data set? If so, approximately how old is the outlier and how about many minutes does he or she study per day?
c) Is this association linear or non-linear? Explain why.
d) What can you say about the relationship between your age and the amount that you study?
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Note:
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Note:
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