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 α=0.01. Overhead width overhead weight 7.1 111 7.6 164 9.8 250 9.2 192 8.8 205 8.2 183 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? The linear correlation coefficient is r=? (Round to three decimal places as needed.) The linear correlation coefficient is r=? (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.) Because the absolute value of the linear correlation coefficient is ______ than the positive critical value, there _______ sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of α=0.05.
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
| Overhead width | overhead weight |
| 7.1 | 111 |
| 7.6 | 164 |
| 9.8 | 250 |
| 9.2 | 192 |
| 8.8 | 205 |
| 8.2 | 183 |
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?
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