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Data on the hours of sleep and gpas of 18 students. The goal is to analyze the relationship between these two variables by interpreting the scatterplot, identifying outliers and influential observations, calculating the regression line equation, and making predictions about gpas based on hours of sleep. This information could be useful for students and educators to understand the impact of sleep on academic performance.
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Hours of Sleep
GPA
Suppose that you wanted to “explain” how the amount of sleep you get each night affects your GPA. If you were to gather data of others GPA and hours of sleep, you might be able to “predict” your GPA given the amount of sleep you get each night. Another way of thinking about this is that GPA is a “response” to the hours of sleep you get. Below is an example of data gathered on 18 students.
X is the Explanatory (or Predictor) variable Y is the Response variable
When we say we are graphing “GPA versus Hours of Sleep” then we are graphing “Y versus X”.
Hour of Sleep GPA 8 3. 7 3. 10 2. 8 3. 6 2. 9 3. 7 3. 7 2. 6 2. 11 4. 8 4. 4 1. 6 2. 9 3. 10 3. 7 2. 9 3. 9 3.
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figure this out from the table only?