The paper “The Effects of Split Keyboard Geometry on Upper Body Postures” (Ergonomics [2009]: 104–111) describes a study to determine the effects of several keyboard characteristics on typing speed. One of the variables considered was the front-to-back surface angle of the keyboard. Minitab output resulting from fitting the simple linear regression model with x = surface angle (degrees) and y = typing speed (words per minute) is given below.
a. Assuming that the basic assumptions of the simple linear regression model are reasonably met, carry out a hypothesis test to decide if there is a useful linear relationship between x and y.
b. Are the values of se and r2 consistent with the conclusion from Part (a)? Explain.

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