COLLEGE OF THE CANYONS Math 140: Introductory Statistics Instructor: Julio C. He

Question

COLLEGE OF THE CANYONS Math 140: Introductory Statistics Instructor: Julio C. Herrera January 30, 2018 Exam 5 statement that is true about the estimators for Problem 2: Multiple Choice Choose the the slope and intercept of a regression line. Assume the conditions of the linear model hold. line are unbiased. b. The sampling distributions of the estimators will follows the Normal distribution if the Normal condition of the error terms is met. The sampling distributions of the cestimators will be approximately Normal if the Nor- mal condition of the error terms is not met but the sample size is large. All of the above are true. None of the above are true. aud ale aet. affected" by anytning n Page 2 of 10

Explanation / Answer

9

we are given that
r = 0.85

so the coeffecient of determination is given as

r2 = 0.85^2 = 0.7225

This means that the regression model is able to explain 72.25% variation in weights of the boys due to the variation in the heights of the boys. Higher the value better the model, the value can range from 0 to 100%

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