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Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the
Research was conducted on the amount of training for 5K and the time a contestant took to run the race. The researcher recorded the number of miles during training ( a 1 month period) and the time to complete the 5K. The results are below. Miles Trained 51 44 29 30 58 19 Time (Minutes) 29.1 32.1 32.6 31.3 28.9 33.1 a) Give the correlation coefficient. r = -0.87 b) Give the equation of the regression line. Round the values to 4 decimal places. This is in the form = b + bx, so the y-intercept goes in the first box and the slope in the 2nd box. y = 35.25 -0.105 c) Predict the time in the 5K if someone trained 29 miles. Use the rounded values entered for the slope and intercept of the regression line to compute the predicted y-value. Complete the remainder of the problem even if the correlation is not significant. y = 32.6 d) Give the residual for 29 miles trained. This is the actual y value for the runner who trained for miles minus the predicted value. Residual = 0.395
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