Between Scores - Chapter 4 Investigating the Relationship...

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Chapter 4: Investigating the Relationship Between Scores Correlation and Prediction Outline: Correlation & Linear Correlation Scattergram Spearman (Rank-Order) Correlation Pearson Product-Moment Correlation Coefficient (r), Interpretation of the Correlation Coefficient, Significance of a Correlation Coefficient of Determination Example Linear Regression and Prediction Example Standard Error of Prediction Multiple Correlation Regression
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Student Objectives: 1. Define correlation and linear correlation, interpret correlation coefficient (statistical significance and coefficient of determination). 2. Understand the Spearman rank difference and use Pearson product-moment method (Excel) to determine the relationship between two variables. 3. Construct a scattergram and interpret it. 4. Explain how correlation can be used for regression and prediction. 5. Explain how to interpret the standard error of prediction. 6. Explain multiple correlation regression.
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Relationships Between Variables Correlation Statistical procedure used to quantify Linear Correlation Degree to which a straight line Can be used for
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Relationship Questions: 1. Is there a relationship between athletic participation and academic achievement? 2. Do people with a higher level of aerobic fitness achieve higher academic grades? 3. Is there a relationship to arm strength and golf driving distance? 4. Is there a relationship between % BF and 10 km run times?
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Correlation Coefficient number that illustrates Range = A correlation of A relationship does not
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Positive relationship - high score on one variable Negative relationship - high score on one variable relates to 0 correlation - indicates Weak correlation scores scattered Scattergrams
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