Math Problem Statement
Solution
Here are the results based on the data provided:
- Correlation coefficient:
- Regression equation: (rounded to three decimal places)
- Predicted mpg for a car with 236 horsepower: (rounded to two decimal places)
Would you like more details or explanations?
Here are 5 related questions to deepen understanding:
- How does a negative correlation coefficient affect the relationship between horsepower and mpg?
- What does the slope of the regression line represent in the context of this data?
- How can you use the regression equation to predict mpg for other horsepower values?
- What is the significance of rounding values in statistical analysis?
- Why is it important to check the p-value when interpreting linear regression results?
Tip: The closer the correlation coefficient is to or , the stronger the linear relationship between the two variables.
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Math Problem Analysis
Mathematical Concepts
Correlation
Linear Regression
Prediction
Formulas
Correlation coefficient formula
Linear regression equation: y = ax + b
Theorems
Least Squares Method
Suitable Grade Level
Grades 10-12
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