Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using a= 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.2 7.7 9.7 9.2 8.9 8.3 Weight 116 198 244 195 207 190
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.
![Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the
linear correlation coefficient r, and find the critical values of r using a= 0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead
widths of seals from photographs and the weights of the seals?
7.2
7.7
9.7
9.2
8.3
8.9
207
Overhead Width
Weight
116
198
244
195
190
Click here to view a table of critical values for the correlation coefficient.
Aweignt (Kg)
300
300
(6x) 1uBraww
300
300
100
100
7
width (cm)
100
100
10
7.
width (cm)
10
7.
width (cm)
10
10
width (cm)
The linear correlation coefficient is r= 835
(Round to three decimal places as needed.)
The critical values are r=
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
y
(1,1)
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Ouestion 8O (1/1)
Ouestion 79/1/1)
Questlon 78(0/6)
Ouestion 77/0/5N
SAMSUNG
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