To determine which statements are correct, we would need to analyze the scatter plot, but it seems you haven't provided the plot or any specific values from it. However, based on the equation provided in option E, \(y = 1.5x + 5\), we can infer some things about the other statements.
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A: Each additionally hour of playing sports is associated with an additional 1.5 increase in mood rating.
- This statement is correct if the slope of the line in the model is indeed 1.5, which it is according to the equation.
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B: The model predicts that a student that spent 2.5 hours playing sports will have a mood rating of 8.75.
- To check this, we can substitute \(x = 2.5\) into the equation: \[ y = 1.5(2.5) + 5 = 3.75 + 5 = 8.75 \]
- This statement is correct.
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C: The model predicts that a student that spent 1.5 hours playing sports will have a mood rating of 6.25.
- Substituting \(x = 1.5\): \[ y = 1.5(1.5) + 5 = 2.25 + 5 = 7.25 \]
- This statement is incorrect.
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D: The model predicts that a student that spent 3.5 hours playing sports will have a mood rating of 12.25.
- Substituting \(x = 3.5\): \[ y = 1.5(3.5) + 5 = 5.25 + 5 = 10.25 \]
- This statement is incorrect.
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E: The equation y = 1.5x + 5 models the relationship between the mood rating of a student and hours spent playing sports.
- The equation provided is given, so this statement is correct as well.
Summary of Correct Statements:
- Correct Statements: A, B, E
- Incorrect Statements: C, D
If you have further specifics from the scatter plot or other details, please share, and we can refine the statements as needed.
1 answer