In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
s per acre). Which is the best predicted value for y given x = 7.1? Assume that the variables x and y have a significant correlation. Rainfall (in inches)(x): 10.5,8.8,13.4,12.5,18.8,10.3,7.0,15.6,16.0
Yield (bushels per acre) (y): 50.5,46.2,58.8,59.0,82.4,49.2,31.9,76.0,78.8
The z-scores give us information about how many standard deviations from the mean the data are. This difference can be negative, if the data are n deviations to the left of the mean, or it can be positive if the data are n deviations to the right of the mean.
To calculate the Z scores, we calculate the difference between the value of the data and the mean and then divide this difference by the standard deviation.
so
.
Where x is the value of the data, μ is the mean and σ is the standard deviation