# HW6_ans - Chapter 13 Correlation Understanding Covariation...

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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 XYY 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 02468 1 0 Data Set 2 0 2 4 6 8 1 0
Chapter 13. Correlation: Understanding Covariation Data Set 3 0 2 4 6 8 02468 1 0 Data Set 4 0 1 2 3 4 5 6 7 8 9 1 0 Data Set 5 0 2 4 6 8 1 0

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Chapter 13. Correlation: Understanding Covariation Answers for Assignment 13.2 Remember, the purpose of this assignment is for you to practice looking at scatterplots and estimating correlation coefficients. The values listed below are actual correlation coefficients, so your answers may be good estimates, but not exactly match the values listed below. Data Set 1: r = +0.76 Data Set 2: r = –0.92 Data Set 3: r = –0.34 Data Set 4: r = +1.00 Data Set 5: r = 0.00 ( Note: although the X and Y scores for this data set are perfectly related, they are not linearly related, hence the Pearson correlation between them is 0.)
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.

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HW6_ans - Chapter 13 Correlation Understanding Covariation...

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