For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x Vocabulary size, y 400 | 1000 4 1450 6 2550 1 2 3 1400 1750 2600 Vocabulary Age Age Age (b) The correlation coefficient r is (Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between age and vocabulary size? O A. Strong positive linear correlation O B. Weak positive linear correlation O C. No linear correlation O D. Weak negative linear correlation O E. Strong negative linear correlation
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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