Analyzing the scatterplot and line of best fit reveals potential correlation between height and adjusted shoe size. Positive slope implies height increase with shoe size. Y-intercept may lack practicality. Predicted height for size 6.5.
To investigate the relationship between height and shoe size, we'll analyze the given data and address the questions:
1. **Scatterplot Observation:**
After graphing, the relationship between height and shoe size can be observed on the scatterplot. If there is a pattern, it suggests a correlation.
2. **Line of Best Fit:**
The line of best fit is a statistical tool that represents the trend in the data. It minimizes the sum of the squared differences between the observed and predicted values.
3. **Slope and Interpretation:**
The slope of the line of best fit indicates the change in height for a one-unit change in shoe size. A positive slope implies a positive correlation – as shoe size increases, height tends to increase.
4. **Y-Intercept and Interpretation:**
The y-intercept is the predicted height when the shoe size is zero. In this context, it may not have a practical interpretation since shoe size of zero doesn't make sense. Evaluate its relevance in the context of the data.
5. **Predicted Height:**
For someone with a shoe size of 6.5, use the line of best fit to predict their height.
Here's a simplified shoe size vs. height table based on the given data:
| Person | Gender | Original Shoe Size | Adjusted Shoe Size | Height |
|--------|--------|--------------------|--------------------|--------|
| Alex | Male | 9.5 | 11.0 | 72 |
| Emily | Female | 7.0 | 5.5 | 65 |
| Chris | Male | 10.0 | 11.5 | 68 |
| Olivia | Female | 8.5 | 7.0 | 63 |
The analysis of the scatterplot, line of best fit, slope, y-intercept, and predictions for specific shoe sizes can provide insights into the relationship between height and shoe size and help evaluate the claim.
The probable question may be:
Someone claims that there is a
strong relationship between
someone's height and their
shoe sizes. You are to
investigate this claim.
So that
males and females can be
considered together, either
subtract 1.5 from the
women's shoe sizes or add 1.5
to the men's shoe sizes. Is this
true?
1. After graphing and viewing the scatterplot, do height
and shoe size appear to be related? How?
2. What is the line of best fit?
3. What is the slope? What does it mean?
4. What is the y-intercept? What does it mean? Does it
make sense?
5. My sister's shoe size is 6.5. What's her predicted
height?
Please do a shoe size vs height table also
Person Gender Original Shoe Size Adjusted Shoe Size Height
Alex Male 9.5 11.0 72
Emily Female 7.0 5.5 65
Chris Male 10.0 11.5 68
Olivia Female 8.5 7.0 63
... ... ... ... ...