Math Problem Statement
Solution
(b) Linear Regression Equation:
The equation of the regression line is: where is the number of cans sold and is the temperature in °F.
(c) Prediction for 95°F:
Using the regression model, the predicted number of cans sold at 95°F is approximately:
Would you like further details or explanations? Here are a few related questions you might find interesting:
- How does the slope of the regression line affect the prediction?
- What is the interpretation of the y-intercept in this context?
- How can we assess the accuracy of the linear regression model?
- Could another model (e.g., polynomial) provide a better fit for this data?
- How would you test the validity of the prediction for 95°F?
Tip: In regression analysis, the coefficient of determination (R²) is a key metric to evaluate how well the model fits the data.
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Scatter Plot
Prediction
Formulas
y = mx + b (Equation of a Line)
Theorems
Least Squares Method
Suitable Grade Level
Grades 9-12
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