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For a data set, the regression coefficient of y on x is -2 and the regression coefficient of x on y is -0.125. What is the correlation coefficient?

MathematicsHardHigh School (11–12)Statistics and Probability › Statistics JEE Main AP A-Level IB AEEE (Amrita)AMUEEE

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For a data set, the regression coefficient of $y$ on $x$ is $-2$ and the regression coefficient of $x$ on $y$ is $-0.125$ . What is the correlation coefficient?

← LPUNEST preparation

← A student finds that the correlation between two variables is 0.5 and says that the line explains 50% of the variation in y. A teacher says that this is wrong. What is the correct percentage?The figure shows the number of cups of hot drinks sold by a cafe against the noon temperature on eight days. The line of best fit passes through the point of the means, (24, 50), and its slope is -2.5 cups for each degree. What number of cups does the line predict for a noon temperature of 30 °C? →

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