Math  /  Data

QuestionA golfer has data on clubhead speeds (mph) and distances (yards) for 20 games. What analysis should be done: correlation, averages, or something else?

Studdy Solution
To perform a regression analysis, we would use the least squares method to fit a line to the data. This line can then be used to predict distance based on clubhead speed. The formula for the line isy=mx+by = mx + bWhere- y is the predicted distance- m is the slope of the line- x is the clubhead speed- b is the y-interceptThe slope and y-intercept can be calculated using the formulasm=n(Σxy)(Σx)(Σy)nΣx2(Σx)2m = \frac{n(\Sigma xy) - (\Sigma x)(\Sigma y)}{n\Sigma x^2 - (\Sigma x)^2}b=Σym(Σx)nb = \frac{\Sigma y - m(\Sigma x)}{n}

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