Correlation and Regression Project-2.pdf

MATH 110+11 – Elementary Statistics w/ Support Professor DeWilde Sara González Correlation and Regression Project Due Date: Sunday, May 15, 2022 Part 1 - Correlation Table 1 - Simulation Results Trial Correlation Guess Actual Correlation Description of Relationship 0.7 0.615 Strong, positive 2 0.7 0.556 moderate, positive 3 -0.3 -0.453 moderate, negative 4 0 -0.06 weak, negative 5 -0.86 -0.929 strong, negative 6 0.13 0.426 moderate, positive 7 0.87 0.687 moderate, positive 8 0.834 0.800 strong, positive 9 0.623 0.767 strong, positive 10 -0.753 -0.668 moderate, negative 1

MATH 110+11 – Elementary Statistics w/ Support Professor DeWilde Sara González 6. Take a screenshot of the three graphs at the bottom of the screen that tracked your progress and insert your screenshot here. Note: Your graphs should contain 10 points that correspond to the guess and actual results that you obtained in your table above 7. Looking back at your results, how do you think you did? How confident are you in your understanding of correlation? I think I did really well, considering I’ve never done this before! I feel pretty confident in my ability to gague the correlation. Part 2 – Regression For this part of the project, you will need to use the Rossman/Chance Least Squares Regression Applet . You will be generating and interpreting the least-squares regression equation for a sample of data containing foot lengths and heights for a random sample of people. 1. Using the context of foot lengths and heights, explain why the points in the given scatterplot do not lie on a perfectly straight line. There is a degree of variability in human growth— just because someone is 5’9” doesn’t mean their shoe size is automatically a 9. There could be taller people with small feet, and shorter people with big feet. However in general, the larger the person, the larger theit feet and the smaller the person, the smaller their feet. ( x ) ( y )

MATH 110+11 – Elementary Statistics w/ Support Professor DeWilde Sara González 2. Click on “Show Movable Line” to generate a line in the scatterplot that can be moved by dragging the green squares around. Move these dots around to show a line that clearly does not fit the data. Take a screenshot of your scatterplot showing this line and insert it here. 3. Now move the dots around to show a line that might fit the data. Take a screenshot of your scatterplot showing this line and insert it here.

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