Between Scores

# 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.
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?
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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