ES 351 in class activity march 6.docx

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Apr 3, 2024

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In-Class Activity March 6 ES 351 Measurement and Statistics in Exercise Science To receive credit for today’s in-class activity, complete all tasks according to instructions. Then, share this worksheet (one per team), via Google Drive, with 1. Connecting content and application: Incorporate your knowledge of the content to address the following. 1.1. Discuss the difference between a univariate scatterplot and a bivariate scatterplot, including the utility of each. Response: For a bivariate scatterplot you are comparing the relationship between two variables, ex: height & weight. But univariate scatterplots are focused on a single variable. Bivariate can be utilized to compare variables and examine correlations. 1.2. Below is a bivariate scatterplot for a data set. Fill in the blanks in the data table. Students named A, B, C, D, E, F, G, H, I and J took a midterm and a final in their stats class. The scatter plot is shown below: 1.3. Which student(s) scored the highest on the midterm? E 1.4. Which student(s) scored highest on the final? C 1.5. What is the approximate mean of the final? B.) 45 a. 25 b. 45 c. 75 X Y 1 4 2 3 3 1 4 1 4 2

1.6. Which student(s) scored the same on the midterm as they did on the final? How do you know? A, F, & B : Their points on the x, and y axis are at the same value on both axisis 1.7. Which student(s) scored higher on the final than they did on the midterm? How do you know? G, H, & C : Their points are higher on the y axis (higher final) and lower on the x axis (lower on the midterm) 1.8. True or false: On average, students who did well on the midterm generally did well on the final. Justify your answer. False, there’s only one person who did slightly well on the final. Most of the scores for the final are 75 or below but one student C had about 100. Here is a bit more data from a larger class: 1.9. Which exam did students have more diﬃculty with? How do you know? To answer this, look at the grouping/center of scores on each axis. The final exam seemed more diﬃcult for the students. There are generally higher X coordinates meaning a higher midterm grade than there is for the Y coordinates. If you look closely, there were a large number of students who scored below a fifty on the final, and there were no students who scored below a fifty on the midterm. 1.10. Was there more dispersion in the midterm scores or the final scores? How do you know? There was more dispersion in the final scores; they are ranging from below a score of 5 all the way to a one hundred. The range of the midterms ranged from around fifty-two to a one hundred. There was more vertical spread than horizontal.

2. Critical Thinking: For these questions, think about it hypothetically , you don’t need to run any analysis in Jamovi. Use the answer options: strongly negative, slightly negative, no relationship, slightly positive, or strongly positive below to speculate as to what you think the correlation coeﬃcient will be. 2.1. I think the correlation between dominant arm grip strength and forearm circumference is strongly positive because there is a direct relationship between forearm circumference (indicative muscle mass) and grip strength. As a forearm circumference increases, grip strength tends to increase proportionally. 2.2. I think the correlation between ice cream sales and crime rate is (no relationship) because ( We think there is no relationship because typically ice cream shops are a family friendly place and selling more ice cream doesn’t seem to be associated with crime so we wouldn’t have a relationship). 2.3. I think the correlation between cardiorespiratory fitness and cardiovascular disease risk is ( strongly negative ) because ( people who are actively engaging their cardiovascular system through exercising have a lower chance of obtaining a cardiovascular disease ). 2.4. Answer this question hypothetically as well. Let’s say that the correlation coeﬃcient between self-reported weight (kg) and actual weight (kg) is r = 0.94. What would the correlation coeﬃcient between self-reported and actual weight be if we converted self-reported weight to lbs instead of kg? Why do you think what you think? The correlation coeﬃcient would remain the same even if you were to change the unit of measurement. The reason for this is because the correlation coeﬃcient is derived from the standard deviations.

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