https://file.aiquickdraw.com/mathbot/file/1725135544845ckjpon4p.jpg

plot the data then try at least 3 regression equations that best represent the data. then, using the quadratic equation predict how tall someone who has a 45cm femur would be 

The plot above shows the data points along with three different regression fits: linear (red line), quadratic (green line), and cubic (purple line).

Using the quadratic equation, the predicted height for someone with a 45 cm femur is approximately **169.47 cm**.

Would you like more details on how these regressions were calculated, or do you have any other questions? Here are some related questions to explore further:

1. How do linear, quadratic, and cubic regressions differ in terms of their application?
2. Why might a quadratic model be a better fit than a linear model in this scenario?
3. What are the limitations of using higher-order polynomials for predictions?
4. How can we assess the goodness of fit for these models?
5. Can we apply these models to predict heights for femur lengths outside the provided data range?

**Tip:** When choosing a regression model, it's important to consider not only the fit but also the complexity of the model. Simpler models (like linear regression) are easier to interpret and may generalize better to new data.

Explore how to plot data and predict heights using regression equations. This problem involves fitting data with linear, quadratic, and cubic regressions to determine the best fit for predicting height based on femur length. Learn about the quadratic equation and its application in predicting human height from femur length. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation