mccathernmod3.3

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Embry-Riddle Aeronautical University *

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Statistics

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Apr 3, 2024

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docx

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1. Calculate the Correlation Coefficient and write one paragraph that describes the relationship between SAT scores and GPA for this sample. Students with a higher GPA tend to have higher SAT scores. The correlation coefficient ranges from 0 to 1. The true linear relationship of the two values is 1. The correlation coefficient in this data set is 0.83072203 and a probability value of less than 0.001. This value indicates that the relationship between SAT scores and GPA score are a linear relationship and the positive number indicates an uphill relationship. R-sq=69% (The variability that SAT scores are related to GPA). Simple linear regression results: Dependent Variable: SAT Score Independent Variable: GPA SAT Score = 479.79502 + 229.09409 GPA Sample size: 38 R (correlation coefficient) = 0.83072203 R-sq = 0.69009909 Estimate of error standard deviation: 97.240999
2. Calculate the expected SAT scores for the following GPAs: 2.3, 3.7, 4.5 SAT Score = 479.79502 + 229.09409 GPA 2.3 1006 3.7 1327 4.5 1511 3. Calculate the expected GPA for the following SAT scores: 1060, 1310, 1520 GPA = -0.35410697 + 0.0030122955 SAT Score 1060 2.8 1310 3.6 1520 4.2
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