Math Problem Statement
What is the answer
Solution
To find the predicted maximum distance a road sign may be read for an individual who is 41 years old, we use the given least squares regression equation:
Substitute :
Now, calculate the value:
Rounding to the nearest tenth, the predicted distance is 453.6 feet.
So, the correct answer is 453.6 ft.
Would you like more details or have any other questions? Here are some related questions:
- What is the significance of the slope in the regression equation?
- How is the correlation coefficient interpreted in this context?
- What does a negative correlation imply about age and distance in this scenario?
- How would the distance prediction change for a 30-year-old driver?
- What are some limitations of using linear regression for this type of prediction?
Tip: When interpreting the slope of a regression line, consider it as the average change in the dependent variable (distance) for each one-unit increase in the independent variable (age).
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Formulas
Distance = 577 - 3.01 * Age
Theorems
Least Squares Regression
Suitable Grade Level
Grades 10-12
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