Statistics > EXAMs > Sophia College Algebra Unit 4 Milestone 4 (All)
The scores of the quizzes of five students in both English and Science are: For English, the mean is 6.4 and the standard deviation is 2.0. For Science, the mean is 7 and the standard deviation is 1 ... .6. Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the nearest hundredth. ● 0.42 ● 0.23 ● 0.05 ● 0.50 RATIONALE English Science Student 1 6 8 Student 2 5 5 Student 3 9 6 Student 4 4 7 Student 5 8 9 In order to get the correlation, we can use the formula: Correlation can be quickly calculated by using Excel. Enter the values and use the function "=CORREL(". CONCEPT Correlation 2 In a study of 30 high school students, researchers found a high correlation, 0.93, between amount of exercise and weight lost. Which of the following statements is TRUE? ● The researchers proved that exercise causes weight loss, but only for high school students. ● The researchers proved that exercise causes weight loss. ● There is a strong positive linear association between weight loss and exercise, but the researchers have not proven causation. ● 93% of the high school students studied lost weight. RATIONALE Recall that correlation measures the strength and direction of linear association. So r= 0.93 indicates a strong positive linear association. Recall also, that correlation doesn't imply causation. Causation is a direct change in one variable causing a change in some outcome [Show More]
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