So far, most of us, either we don’t use scatter-plot after calculating the correlation coefficient value or we don't interpret the scatter-plot along with Correlation Coefficient. So, how catter-plot can be useful in interpretation? A) and D) The scatter plot shows a clear positive linear association. If the relationship is known to be nonlinear, or the observed pattern appears to be nonlinear, then the correlation coefficient is not useful or is at least questionable. E) The scatter plot could represent the positive correlation between the number of. If the relationship is known to be linear, or the observed pattern between the two variables appears to be linear, then the correlation coefficient provides a reliable measure of the strength of the linear relationship. Linearity assumption: The correlation coefficient requires the underlying relationship between the two variables under consideration to be linear. Values between 0.7 and 1.0 (−0.7 and −1.0) indicate a strong positive (negative) linear relationship via a firm linear rule. For example, if the points of Scatter Plot A form a perfect line y0.25x, and the. Values between 0.3 and 0.7 (−0.3 and −0.7) indicate a moderate positive (negative) linear relationship via a fuzzy-firm linear rule.Ħ. Strong positive linear relationships have values of r r r r closer to 1 1 1 1.
Values between 0 and 0.3 (0 and 0.3) indicate a weak positive (negative) linear relationship via a shaky linear rule.ĥ. −1 indicates a perfect negative linear relationship: As one variable increases in its values, the other variable decreases in its values via an exact linear rule.Ĥ. +1 indicates a perfect positive linear relationship: As one variable increases in its values, the other variable also increases in its values via an exact linear rule.ģ. The following points are the accepted guidelines for interpreting the correlation coefficient:Ģ. The correlation coefficient takes on values ranging between +1 and −1. Which of the following patterns does the scatter plot show Select the correct answer below: Positive linear pattern Select the correct answer below: Positive linear pattern Positive linear pattern with deviations Negative linear. The correlation coefficient, denoted by r, is a measure of the strength of the linear relationship between two variables. Transcribed image text: The scatter plot below shows data relating incomes and the IQ of people. Before getting deep into the subject, let’s get back to the basic first.Ĭorrelation coefficient is a statistical measure to establish or measure the relation between two variables.
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