Homework 7-Chapter 8 Bivariate Regression

Homework 7 Chapter 8-Bivariate Regression 1. Use Table A.2 in appendix A (p. 262) to determine the p value for the following: a) P < 0.05 b) P > 0.10 c) P < 0.10 d) P < 0.02 2. You have collected the following data for VO 2 max and 1.5 mile run times from a sample of twelve (N=12) KU students. You may use calculations from previous homework OR Excel for part a. and b. Cut and paste the created scatterplot for part d. Sub. Y VO 2 max (ml·kg -1 ·min -1 ) X 1.5 mile run time (min) c. Yp Predicted VO2max 1 49.21 8.23 2 32.03 11.91 3 28.56 13.56 4 52.42 7.02 5 36.36 11.38 6 35.12 11.83 7 38.88 10.29 8 42.35 9.21 9 40.20 9.82 10 45.23 8.55 11 38.26 10.91 12 39.59 10.30 1 r N a. 0.500 20 b. 0.700 6 c. 0.600 9 d. 0.661 14

a. Calculate the means and standard deviations (σ) for VO 2 max and 1.5 mile run times (for use in the correlation coefficient formula) – show all your work . Can copy from HW6 VO 2 max mean: 39.8508 1.5 mile mean:10.2508 b. Identify the slope and y-intercept for the regression equation, using 1.5 mile run time as the predictor (X) of VO2max (predicted-Y). c. Calculate predicted VO2max for all participants in the data set. Y X Predicted Y 49.2 1 8.23 47.9606610 7 32.0 3 11.9 1 33.1921096 4 28.5 6 13.5 6 26.5703406 6 52.4 2 7.02 52.8166249 9 36.3 6 11.3 8 35.3191021 35.1 2 11.8 3 33.5131651 1 38.8 8 10.2 9 39.6934828 2 42.3 5 9.21 44.0277316 1 40.2 8.82 45.5928770 1 45.2 3 8.55 46.6764392 38.2 6 10.9 1 37.2053029 6 39.5 9 10.3 39.6533508 9 2

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