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# Statistics – Unit 4

Posted by on May 31, 2019

Unit 4

Topics:

Introduction to Bivariate Data link:Intro Bivariate

• Learning Objectives
1. Define “bivariate data”
2. Define “scatter plot”
3. Distinguish between a linear and a nonlinear relationship
4. Identify positive and negative associations from a scatter plot

Values of the Pearson Correlation link:Values of the Pearson

• Learning Objectives
1. Describe what Pearson’s correlation measures
2. Give the symbols for Pearson’s correlation in the sample and in the population
3. State the possible range for Pearson’s correlation
4. Identify a perfect linear relationship

Properties of Pearson’s r link:Properties of r

• Learning Objectives
1. State the range of values for Pearson’s correlation
2. State the values that represent perfect linear relationships
3. State the relationship between the correlation of Y with X and the correlation of X with Y
4. State the effect of linear transformations on Pearson’s correlation

Computing Pearson’s r link:Computing Pearson’s r

• Learning Objectives
1. Define X and x
2. State why Σxy = 0 when there is no relationship
3. Calculate r

Variance Sum Law II link:Variance Sum Law II

• Learning Objectives
1. State the variance sum law when X and Y are not assumed to be independent
2. Compute the variance of the sum of two variables if the variance of each and their correlation is known
3. Compute the variance of the difference between two variables if the variance of each and their correlation is known

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