SDS 306 Lecture Notes - Lecture 16: Scatter Plot, Tendercrisp
16 Feb 2017
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Document Summary
Since the standard deviations are always positive, the slope and the correlation always have the same sign. The correlation has no units, but the slope has units of y over units of x: for the burger king example, the units for the slope are grams of fat per grams of protein. The point corresponding to the means of x and y: will always lie on the line of best fit: (xbar, ybar). Given the mean of x, the mean y, and the slope, we can find the y- intercept. Use the line of best fit to make a prediction for the fat content of a. Tendercrisp chicken sandwich which contains 31 g of protein. We can predict that the tendercrisp chicken sandwich contains. The tendercrip chicken sandwich actually contains 22 g of fat. The residual is the difference between the y value of the data point and the value found by plugging the x value into the least squares equation.
