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Published byJuliana Hubbard Modified over 9 years ago
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Run the colour experiment where kids write red, green, yellow …first
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Linear Regression
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In probability theory and statistics, correlation (often measured as a correlation coefficient) indicates the strength and direction of a linear relationship between two random variables.
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A scatterplot allows you to search for Trends
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Strong Positive Correlation: - strong trend, LOB has a positive slope Weak Positive Correlation - not a strong trend, LOB has a positive slope
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Negative Correlation: - The LOB has a negative slope.
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A correlation coefficient is a number between -1 and +1 which measures the degree to which two variables are linearly related.
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The closer the value is to 1.0, the stronger the relationship. The closer the value is to 0.0, the weaker the relationship. Positive and negative just define slope.
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For Pearson’s product-moment correlation coefficient, the greek letter rho (r) is used.
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0.80-1.00 Strong Association between Variables 0.60-0.79 Strong-Moderate Association 0.40-0.59 Weak-Moderate Association 0.30-0.39 Strong-Weak Association 0.20-0.29 Weak-Weak Association 0.00-0.19 Little, if any association
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If there is perfect linear relationship with positive slope between the two variables, r = 1
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If there is a perfect linear relationship with negative slope between the two variables, r = -1.
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If r = 0, there is no linear relationship between the variables.
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Coefficient of Determination r 2 represents the fraction of variability in y that can be explained by the variability in x. For example, if r 2 = 0.44, this means that 44% of the variation of the dependant variable is due to the variation in the independent variable.
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homework Pg 168 1,2,3,5,6 Pg 180 6
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