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Perfect Positive Linear Correlation. A perfect negative linear relationship r 1. The line slopes up Chapter 5 11 Interpreting r The size magnitude of the correlation coefficient tells us the strength of a linear relationship If r 090 implies a strong linear association For 065 r 090 implies a moderate linear association. A correlation coefficient quite close to 0 but either positive or negative implies little or no relationship between the two variables. Perfect positive linear correlation.
Graphical Analysis In Exercises 1518 the scatter plots show the results of a survey of 20 randomly. They have a perfect positive linear correlation because the perimeter of a square is four times the length of one of its sides. For nonlinear regression models the correlation coefficient ranges from 00 to 10. Perfect positive correlations mean that one hundred per cent of the time the relationship that looks like it exists between 2 variables is positive. That means that the correlation coefficient is a perfect one where as a perfect negative correlation has a coefficient correlation. R -1 denotes perfect negative linear correlation.
A value of 10 indicates perfect correlation and a value near zero indicates little or no correlation.
Positive Correlation is a very important measure that helps us to estimate the degree of the positive linear relationship between two variables. Notice that there is no relationship between X and Y. If r is positive 0 the correlation is positive. Correlation r 1. For linear regression models the correlation coefficient ranges from -10 to 10. A perfect positive linear correlation b large but not perfect positive linear correlation c small positive linear correlation d large but not perfect negative linear correlation e no correlation f clear curvilinear correlation 12For problems 12 to 14 do the following.