Correlation coefficient is used to determine how strong is the relationship between two variables and its values can range from -1.0 to 1.0, where -1.0 represents negative correlation and +1.0 represents positive relationship. ... What type of correlation describes the following sentence: ... Q. As the correlation coefficient increases in magnitude, the points become more tightly concentrated about a straight line through the data. In statistics, correlational analysis is a method used to evaluate the strength of a relationship between two numerically measured, continuous variables. r is often denoted as r xy to emphasize the two variables under consideration. the direction; a cause. unrelated. A critical thinker would most likely say, "What I need to know most is _____ whether the source is an authority." What type of relationship is this? related. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. the strength; direction of the relationship. Describe the relationship between two variables when the correlation coefficient r is one of the following. The correlation coefficient for these data is also very close to 0, being -.05. Britannica defines it as the degree of association between 2 random variables. A correlation coefficient of 1 or -1 shows that the... See full answer below. Estimate the correlation coefficient for this scatterplot. Correlation Coefficient: The correlation in statistics tells us about the strength of a linear relationship between two variables. -0.50 +1.24 +0.01 +0.62 -0.98 A graph represents the relationship between psychological arousal (the x-axis) and performance (y-axis). causing each other. Correlation measures the strength of how two things are related. The individuals perform better when they are moderately aroused than when arousal is either very low or very high. Correct answers: 1 question: Which of the following correlation coefficients represents the strongest relationship between two variables? The strength of the relationship varies in degree based on the value of the correlation coefficient. Pearson coefficient is a type of correlation coefficient that represents the relationship between two variables that are measured on the same interval. First, correlations even as high as 0.6 don't look that different from correlations of 0. best friends. The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. 1) A correlation coefficient represents how strong the relationship is between two variables. 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