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Please answer the Factual Questions using the attached information STATISTICAL GUIDE The coefficient of determination is an important concept that builds on correlation. The coefficient
Please answer the "Factual Questions" using the attached information
STATISTICAL GUIDE The coefficient of determination is an important concept that builds on correlation. The coefficient of determination is symbolized by r or R, and it is pronounced "r squared." Calculating ris straightforward. You simply square the value of the correlation, r. For instance, if ra.50, then, / - .50 x.50m.25. is a helpful statistic to know. If you multiply it by 100, you learn the amount of variance that one variable explains in the variance of the other variable. This percentage is called the explained variance or the amount of variance accounted for. So if =.25, then each of the variables in the correlation explains 25% of the variance in the other variable in the correlation. This means that an r of .50 represents a relationship that explains 25% more than an r of 0.00. The interpretation of r for a negative value of r is the same as for a positive value of r For instance, = .16 for an r of -.40. Multiplying by 100, we learn that the amount of variance explained is 16%. As you see here, ro, unlike r, does not reveal if the relationship is direct or inverse, as a squared value will always be positive. EXCERPT FROM THE RESEARCH ARTICLE1 Participants were 23 older adults (16 men and 7 women). . . . The majority of these individuals were in high-level corporate management positions. The CES-D is a 20-item questionnaire designed to measure levels of depression. . . . The Fat Intake Scale (FIS) is a brief dietary questionnaire.. Alcohol consumption. Alcohol consumption for each participant was computed by multiplying quantity (drinks per occasion) by frequency (drinking days per week). Self-reported levels of tension/anxiety were significantly negatively correlated with alcohol consumption (=-.45), suggesting an inverse relationship between tension/anxiety and alcohol consumption. Neither depression nor any of the anger scores were correlated with alcohol consumption. 101 Saturated fat intake. Scores on the CES-D correlated with scores on the FIS (r=.68), suggesting a direct and positive relationship between level of depression and saturated fat intake. Scores on the Trait-Anger scale and the Anger Expression scale were also correlated with the FIS ( = .51 and -52. respectively), ako suggesting a direct and positive relationship between level of trait anger and external anger expression with saturated fat intake. Exercise: Aerobic and strength training. Scores on the Trait-Anger scale were significantly negatively correlated with the self-reported level of aerobic exercise (r m-.44), suggesting an inverse relationship between level of trait anger and level of aerobic exercise. Scores on Anger Expression were, however, positively correlated with self-reported level of strength Training from 51) sunnection a strong positive relationship between level of internal anner expression and ennanement in 101 of 236Aa relationship is direct or inverse, as a squared value will always be positive. EXCERPT FROM THE RESEARCH ARTICLE Participants were 23 older adults (16 men and 7 women). . . . The majority of these individuals were in high-level corporate management positions. The CES-D is a 20-item questionnaire designed to measure levels of depression. . . . The Fat Intake Scale (FIS) is a brief dietary questionnaire. . .. Alcohol consumption. Alcohol consumption for each participant was computed by multiplying quantity (drinks per occasion) by frequency (drinking days per week). Self-reported levels of tension/anxiety were significantly negatively correlated with alcohol consumption (=-.45), suggesting an inverse relationship between tension/anxiety and alcohol consumption. Neither depression nor any of the anger scores were correlated with alcohol consumption. P: 101 101 Saturated fat intake. Scores on the CES-D correlated with scores on the FIS (r= .68), suggesting a direct and positive relationship between level of depression and saturated fat intake. Scores on the Trait-Anger scale and the Anger Expression scale were also correlated with the FIS (r=.51 and .52, respectively), also suggesting a direct and positive relationship between level of trait anger and external anger expression with saturated fat intake. Exercise: Aerobic and strength training. Scores on the Trait-Anger scale were significantly negatively correlated with the self-reported level of aerobic exercise (r=-.44), suggesting an inverse relationship between level of trait anger and level of aerobic exercise. Scores on Anger Expression were, however, positively correlated with self-reported level of strength training (r= .51), suggesting a strong positive relationship between level of internal anger expression and engagement in strength training. STUDY QUESTIONS Factual Questions 1. Is the relationship between levels of tension/anxiety and alcohol consumption direct or inverse? 2. The Pearson r for the relationship between CES-D depression scores and FIS fat intake scores indicates which of the following? A. Higher depression is associated with less fat intake. B. Higher depression is associated with more fat intake. What is the value of r for the relationship between tension/anxiety and alcohol consumption? Explain how you computed the answer. 101 of 236"reader/9781351847506/10--%78"dataindex"%3A717%2C"childIndex"%340%2C"offset*%340%7D/ a Saturated fat intake. Scores on the CES-D correlated with scores on the FIS (ra .68), suggesting a direct and positive relationship between level of depression and saturated fat intake. Scores on the Trait-Anger scale and the Anger Expression scale were also correlated with the FIS (r =.51 and .52, respectively), also suggesting a direct and positive relationship between level of trait anger and external anger expression with saturated fat intake. Exercise: Aerobic and strength training. Scores on the Trait-Anger scale were significantly negatively correlated with the self-reported level of aerobic exercise ( =-.44), suggesting an inverse relationship between level of trait anger and level of aerobic exercise. Scores on Anger Expression were, however, positively correlated with self-reported level of strength training (r=.51), suggesting a strong positive relationship between level of internal anger expression and engagement in strength training STUDY QUESTIONS Factual Questions 1. Is the relationship between levels of tension/anxiety and alcohol consumption direct or inverse? 2. The Pearson r for the relationship between CES-D depression scores and FIS fat intake scores indicates which of the following? A. Higher depression is associated with less fat intake. B. Higher depression is associated with more fat intake. 3. What is the value of ' for the relationship between tension/anxiety and alcohol consumption? Explain how you computed the answer. What is the value of ' for the relationship between CES-D scores and FIS scores? Explain how you computed the answer. 5. What is the value of / for the relationship between Anger Expression and level of strength training? Explain how you computed the answer, The correlation between Anger Expression and FIS is .52. What percentage of the variance for Anger Expression is explained by the variance in FIS? Explain how you computed the answer. 7. What percentage of the variance for alcohol consumption is explained by the variance in tensionanxiety? Explain how you computed the answer 102 8. In the excerpt, six correlations are reported. Which correlation has the largest value for r?? 9. in the excerpt, six correlations are reported. Which correlation has the smallest value forStep by Step Solution
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