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Course: AP??/College Statistics?>?Unit 5
Lesson 5: Analyzing departures from linearity- R-squared intuition
- R-squared or coefficient of determination
- Standard deviation of residuals or root mean square deviation (RMSD)
- Interpreting computer regression data
- Interpreting computer output for regression
- Impact of removing outliers on regression lines
- Influential points in regression
- Effects of influential points
- Identify influential points
- Transforming nonlinear data
- Worked example of linear regression using transformed data
- Predict with transformed data
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Predict with transformed data
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Problem
A biologist observed a curved relationship between the average heart rates and life expectancies of several mammal species in a large sample. The biologist took the natural logarithm for the values of both variables, and they noticed a linear relationship in the transformed data.
Here's the least-squares regression equation for the transformed data, where life expectancy ( ) is in years and heart rate ( ) is in beats per minute.
According to this model, what is the predicted life expectancy of a mammal species whose average heart rate is beats per minute?
You may round your answer to the nearest whole year.
You may round your answer to the nearest whole year.
years