Sophia College Algebra Unit 4 Milestone 4

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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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