Practice Problems-Final Exam-Spring 2019.docx - Department...

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Department of Aviation & Technology San Jose State University Tech 31 Topics: Regression Analysis & Interpretation May 8- Review Session Spring 2019 Practice Problems for Final Exam 1) In an automobile-collision study, one item of interest was the dollar value of collision damage (y) relative to normalized speed of the vehicle at impact (x). Perform a regression analysis on the following data from that experiment, and comment on the conclusions that might be drawn from your analysis . A) There is enough statistical significance to present a linear relationship between speed and damage cost. There is a positive relationship between speed and damage cost. P-value =0 alpha level .05 reject H 0 :=0. Regression Equation Damage( $) = 26.33 + 6.046 Speed B) For 1 unit increase in speed, you expectation of damage cost is increased by 6.046 on average. Model Summary S R-sq R- sq(adj) R- sq(pred) 5.433 95 97.65 % 97.51% 96.95% C) 98% of variation in the damage ($) can be explained by speed at impact . Coefficients Term Coef SE Coef T- Value P- Value VIF Consta nt 26.3 3 2.60 10.15 0.000 Speed 6.04 6 0.228 26.56 0.000 1.0 0 D) Predictor x (speed) has a big t value (26.56) and p-value = 0.00. This is a significant predictor of damage cost. T = 2< p value = 0.00 Speed Damage($) Speed Damage($) Speed Damage($) Speed Damage($) Speed Damage($ ) 1 41 2 44 3 48 4 50 5 58 6 61 7 66 8 70 9 75 10 81 11 89 12 94 13 96 14
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  • Fall '19
  • Statistics, Regression Analysis & Interpretation

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