Question

Pistol Shooting Researchers at Victoria University wanted to determine the factors that affect precision in shooting air pistols (Inter - and Intra- Individual Analysis in Elite Sport: Pistol Shooting, Journal of Applied Biomechanics, 2003, 28- 38). The explanatory variables were 4. x1: Percent of the time the shooter's aim was on target( a measure of accuracy) x2: Percent of the time the shooter's aim was within a certain region (a measure of consistency or steadiness) x3: Distance ( in mm) the barrel of the pistol moves horizontally while aiming x4: Distance (in mm) the barrel of the pistol moves vertically while aiming a) One response variable in the study was the score that the individual received on the shot, with a higher score indicating a better shooter. The regression model presented was ý-10.60.02x1-0.03x3. The reported P- value of the regression model was 0.05. Would you reject the null hypothesis Ho: β1-β3:0? (assume α-01) (5 points) b) Interpret the slope coefficients of the model in part (a). (6 points) c) Predict the score of an individual whose aim was on target X1 = 20% of the time with a distance the pistol barrel moves horizontally of x3 12mm using the model from part (a). (5 points) d) A second response variable in the study was the vertical distance that the bullet hole was from the target. The regression model for this response variable was ý-24.6-0.13x10.21x2 0.13x3 + 0.22x4. The reported P - value of the regression model was 0.04. Would you reject the null hypothesis Ho: β1 = β,-Bs= β4-0? (assume α = .05) (5 points) e) Interpret the slope coefficients of the model in part (d). (8 points) f) Based on your answer to part (e), do you think that the model is useful in predicting vertical distance from the target? Why? (5 points)

Answer 1

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