(d) Determine if a linear relation exists between height and head circumference. (Note that the linear correlation coefficient between the height and head circumference of a child is r= 0.823.) Find the critical value.
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.
![head circumference. She randomly selects 8 children, measures their height and head
circumference, and obtains the data shown in the table,
Question Help
(d) Determine if a linear relation exists between height and head circumference. (Note that
the linear correlation coefficient between the height and head circumference of a child is
r= 0.823.)
Height
(inches) (inches)
27
25.25
26.5
25.5
27.25
26.5
26.25
27.25
Head Circumference
17.4
17.2
Find the critical value.
17.3
The critical value is
16.9
17.4
(Round to three decimal places as needed.)
17.3
17.2
17.4
E Click here to see the Table of Critical Values for Correlation Coefficient.
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