Make a scatterplot of the data. Describe what the data are telling you in the scatterplot. Are there any unusual points in the data set? Explain. Compute r and interpret it in a sentence. Compute r2 and interpret it in a sentence.
Make a scatterplot of the data. Describe what the data are telling you in the scatterplot. Are there any unusual points in the data set? Explain. Compute r and interpret it in a sentence. Compute r2 and interpret it in a sentence.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
- Make a scatterplot of the data. Describe what the data are telling you in the scatterplot. Are there any unusual points in the data set? Explain.
- Compute r and interpret it in a sentence.
- Compute r2 and interpret it in a sentence.
- Create a regression line that best fits the data. (Call this Model #1)
- What is the equation of this line?
- Interpret the slope of the line in a sentence, in context.
- Interpret the intercept of the line in a sentence, in context.
- In the data set, remove the data point that doesn’t seem to fit with the rest of the data. Give the coordinates of the point you removed: ( ______ , ________ ). Redo the calculations of r, r2, and the regression line. (Call this Model #2) Compare the statistics for the model with the point (Model #1) and without the point (Model #2): did any of the calculations change? Was the change small or significant? Explain how the removal of the one point affected the calculations.
- Now, suppose Michael Phelps, the great swimmer, decides to go back to school to be a nurse and he just so happens to take online statistics at PCC. Michael adds himself to the data set: he’s 6’4” tall and has a wingspan of 6’7”.
- Make a scatterplot of the data (leave out point from the last questions and add in Michael).
- Redo the calculations of r, r2, and the regression line. (Call this Model #3)
- Compare the statistics for Model #2 and Model #3: did any of the calculations change? Was the change small or significant? Explain how the addition of Michael Phelps to the class data affected the calculations.
- Do you think there is a relationship between students’ height and wingspan?
- Do you think athletes would follow the same relationship between height and wingspan as typical students? What athletes might follow this relationship? What athletes might not follow this relationship?
- Are there other variables that might affect a relationship between height and wingspan? How might those variables affect the relationship?
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