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What can you say about the correlation coefficient and the correlation description of the correlation when the points lie exactly on either vertical line or horizontal line?
Mhasan
The observed relationship indicates that the a one-to-one correspondence exists between the variables of interest. In effect, the value of the obtained r-value is -1 or 1.
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∙ 14y ago
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Suppose the scatter plot is of a variable X on the horizontal scale and Y on the vertical scale.Find the approximate middle of the x values and call it p.Find the approximate middle of the y values and call it q.Draw horizontal and vertical lines through the point with coordinates (p, q).If you know about quadrants, skip this paragraph. The two lines through the point (p,q) divide up the plane into 4 quadrants. Quadrant I is top right. Quadrant II is top left. Quadrant III is bottom left. Quadrant IV is bottom right.If the scatter plot is mostly in quadrants I and III the correlation is positive. If mostly in quadrants II and IV the correlation is negative. Otherwise the correlation is small.Remember, though, that 0 correlation does not mean no relation. y = x2 will have 0 correlation but it is a perfectly well defined relationship!Suppose the scatter plot is of a variable X on the horizontal scale and Y on the vertical scale.Find the approximate middle of the x values and call it p.Find the approximate middle of the y values and call it q.Draw horizontal and vertical lines through the point with coordinates (p, q).If you know about quadrants, skip this paragraph. The two lines through the point (p,q) divide up the plane into 4 quadrants. Quadrant I is top right. Quadrant II is top left. Quadrant III is bottom left. Quadrant IV is bottom right.If the scatter plot is mostly in quadrants I and III the correlation is positive. If mostly in quadrants II and IV the correlation is negative. Otherwise the correlation is small.Remember, though, that 0 correlation does not mean no relation. y = x2 will have 0 correlation but it is a perfectly well defined relationship!Suppose the scatter plot is of a variable X on the horizontal scale and Y on the vertical scale.Find the approximate middle of the x values and call it p.Find the approximate middle of the y values and call it q.Draw horizontal and vertical lines through the point with coordinates (p, q).If you know about quadrants, skip this paragraph. The two lines through the point (p,q) divide up the plane into 4 quadrants. Quadrant I is top right. Quadrant II is top left. Quadrant III is bottom left. Quadrant IV is bottom right.If the scatter plot is mostly in quadrants I and III the correlation is positive. If mostly in quadrants II and IV the correlation is negative. Otherwise the correlation is small.Remember, though, that 0 correlation does not mean no relation. y = x2 will have 0 correlation but it is a perfectly well defined relationship!Suppose the scatter plot is of a variable X on the horizontal scale and Y on the vertical scale.Find the approximate middle of the x values and call it p.Find the approximate middle of the y values and call it q.Draw horizontal and vertical lines through the point with coordinates (p, q).If you know about quadrants, skip this paragraph. The two lines through the point (p,q) divide up the plane into 4 quadrants. Quadrant I is top right. Quadrant II is top left. Quadrant III is bottom left. Quadrant IV is bottom right.If the scatter plot is mostly in quadrants I and III the correlation is positive. If mostly in quadrants II and IV the correlation is negative. Otherwise the correlation is small.Remember, though, that 0 correlation does not mean no relation. y = x2 will have 0 correlation but it is a perfectly well defined relationship!
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What can you say about the correlation coefficient and the correlation description when the points lie exactly on vertical or horizontal line?
Let me rephrase: Case 1: You have x and y variables, but the values for x is a constant (vertical line) Case 1: You have x and y variables, but the values for y is a constant (horizontal line) Result is that you have zero covariance, so a correlation coefficient can not be calculated because that would cause a division by zero. If one of your x value (Case 1) or y value (case 2) is not exactly the same as the others, then a correlation coefficient can be calculated, but does it mean anything? The correlation coefficient indicates a linear relationship between two random variables, not between a constant and a random variable.
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