HW6 - Chapter 13 Correlation Understanding Covariation Name...

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Chapter 13. Correlation: Understanding Covariation Name: Class: Date: From Kiess and Green’s Statistical Concepts for the Behavioral Sciences, 4/e Assignment 13.1 The purpose of this assignment is to help you to become more comfortable in knowing the meaning of important terms covered in Chapter 13. For each item in the table below, either the term or the definition is given. Complete the following table with the missing information. For example, the term correlation coefficient is provided in the left column. In the right column, write the definition for the term. It is best to complete this page without looking at your notes or textbook. Once you have completed it, refer back to your notes and textbook to verify you are correct. Term Definition (also include formula as appropriate) A change in one variable is related to a consistent change in another variable Correlation coefficient A distribution in which two scores are obtained from each subject A graph of a bivariate distribution. The X value is plotted on the horizontal axis and the Y variable is plotted on the vertical axis A relationship between two variables that can be described by a straight line Positive relationship Negative relationship Pearson correlation coefficient The value of ( )( ) X X Y Y for variables X and Y Outlier The value of r 2 indicating the common variance of variables X and Y Bivariate normal distribution
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Chapter 13. Correlation: Understanding Covariation Name: Class: Date: From Kiess and Green’s Statistical Concepts for the Behavioral Sciences, 4/e Assignment 13.2 Five scatterplots are shown below. For each scatterplot, estimate the correlation of the relationship between the X and Y variables. The X variable is represented on the abscissa and the Y variable on the ordinate. The Pearson r for each data set is given on the answer sheet. Data Set 1 0 2 4 6 8 10 0 2 4 6 8 10 Data Set 2 0 2 4 6 8 0 2 4 6 8 10
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Chapter 13. Correlation: Understanding Covariation Data Set 3 0 2 4 6 8 0 2 4 6 8 10 Data Set 4 0 1 2 3 4 5 6 7 8 9 0 2 4 6 8 10 Data Set 5 0 2 4 6 8 0 2 4 6 8 10
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Chapter 13. Correlation: Understanding Covariation Name: Class: Date: From Kiess and Green’s Statistical Concepts for the Behavioral Sciences, 4/e Assignment 13.3 For each of the data sets given below, calculate the Pearson correlation coefficient using the definitional formula. Set A Set B X Y X Y 5 5 3 7 4 5 4 7 8 7 5 5 9 7 6 5 6 3 7 5 7 5 8 3 3 3 9 3 Set C Set D X Y X Y 3 3 5 7 4 3 4 3 5 5 8 5 6 5 9 5 7 5 6 5 8 7 7 3 9 7 3 7 Set E Set F X Y X Y 6 5 5 3 7 3 7 3 3 7 6 5 8 7 8 5 9 3 4 5 5 5 9 7 4 5 3 7 1. Compare the means and SS X and SS Y for each data set to each other data set. 2. As you notice, the means for each group are the same, as are the SS . Thus, why is there a difference in the correlation coefficient for each data set?
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Chapter 13. Correlation: Understanding Covariation Name: Class: Date: From Kiess and Green’s Statistical Concepts for the Behavioral Sciences, 4/e Assignment 13.5 Read each of the questions carefully and then select the best answer.
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