MATH 10041 Lecture Notes - Lecture 10: Scatter Plot, Dependent And Independent Variables

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Regression line: a tool for making predictions about future observed values, has the form y=a+bx where a is the y-intercept and b is the slope, usually generated using appropriate technology. Finding the regression equation: to find the regression equation using technology, follow the same steps as for finding the correlation coefficient. Finding regression equation using statcrunch: enter the data into statcrunch, stat>regression>simple linear, select the x-variable, select the y-variable, select compute. Notes about the regression equation: order matters. Interpreting the slope of the regression equation: the slope tells us how much the y-variable changes when the x-variable is increased by. 1 unit: a slope close to 0 means there is no linear relationship between x and why. Interpreting the y-intercept of the regression line: the y-intercept is the predicted value when x is 0, the y-intercept is meaningful only if it makes sense for x to equal 0.

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