The paper The Effects of Split Keyboard Geometry on Upper Body Postures (Ergonomics [2009]: 104111) describes a

The paper €œThe 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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Regression Analysis: Typing Speed versus S The regression equation is Typing Speed 60.00.0036 Surface Angle Predictor Constant Surface Angle 0.00357 0.03823 S.. 0.51 1766 R-Sq-0.3% Angle Coef SE Coef 60.0286 0.2466 243.45 0.000 0.09 0.931 R-Sq(adj) 0.0% Analysis of Variance Source Regression Residual Error Total DF MS 1 0.0023 0.0023 0.0 0.931 3 0.7857 0.2619 4 0.7880