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Question
sean conducted a survey among his classmates to determine if there was an association between how much they like math and how much they like their math teacher. he asked his classmates to use a rating scale of 1 to 5, where 1 is the lowest and 5 is the highest. sean graphed the ratings data from his survey on this scatter plot. math rating associated with teacher rating there is a positive linear association (select) between how much seans classmat (select) they like their math teacher because a negative linear association a positive linear association no association
Step1: Analyze the scatter - plot trend
In a positive linear association, as one variable (Math Rating) increases, the other variable (Teacher Rating) also tends to increase.
Looking at the scatter - plot, when the Math Rating (x - axis) goes from 1 to 5, the Teacher Rating (y - axis) generally shows an increasing trend. For example, at Math Rating = 1, Teacher Rating = 1; at Math Rating = 2, Teacher Rating = 2 or 3; at Math Rating = 3, Teacher Rating = 3 or 4; at Math Rating = 4, Teacher Rating = 4 or 5; at Math Rating = 5, Teacher Rating = 4 or 5.
Step2: Compare with other associations
- In a negative linear association, as one variable increases, the other decreases. But here, the data does not show such a trend.
- If there was no association, the points would be randomly scattered with no discernible pattern. But here, there is a general upward trend.
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a positive linear association