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Sophia Learning - Foundation of Statistics - Final Milestone-with rationales-2022

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Which statement best describes the strength, direction, and correlation coefficient of the scatter plot shown here? • The strength is strong, the direction is negative, and the correlation c ... oefficient is close to -1. • The strength is strong, the direction is negative, and the correlation coefficient close to 1. • The strength is strong, the direction is positive, and the correlation coefficient is close to 1. • 8/10/2020 Sophia :: Welcome Page 2 of 26 RATIONALE The closer the data looks to a straight line, the stronger the relationship is. A negative relationship is identified when, as one variable decreases, the second variable increases. Also, if the data is pretty linear and shows a decreasing trend, the correlation is close to -1. CONCEPT Using Data to Identify a Relationship Between Variables 2 Gwen was having issues with her laundry detergent. Her whites were not as bright as she wanted them to be, so she decided to change brands. Before she washed her next set of clothes, she made a hypothesis as to the outcome of using a new detergent. Which of the following would be the null hypothesis? • The new detergent will make the clothes whiter than the old detergent. • The difference between the new detergent and the old detergent will be significant. • The new detergent could be better or worse compared to the old detergent. • There will be no difference between the new detergent and the old detergent. RATIONALE Gwen is not sure that the new detergent will make them brighter or less bright so we always set the null hypothesis to say that there is no difference between the two. CONCEPT Identifying a Reason for Performing an Experiment 3 CONTINUED.......... [Show More]

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