After studying the milk yields of a randomly selected sample of 1,000 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS; is a binary variable of the form: The 95% confidence interval for the coefficient B₁ is ), D). MP; = 5.36 +0.14 × WS;, (2.23) (1.04) 1, if the ith WS;= cow has white spots O, if the ith cow doesn't have white spots (Round your answers to four decimal places.) Based on this interval, we will the hypothesis ẞ₁ = 0 at the 5% significance level. Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? A. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white spots. B. The coefficient is the sum of the conditional expectation of the presence of white spots on a cow with respect to the average milk production. C. The coefficient is the difference between the population means of the milk production of cows with and without white spots. D. The coefficient of the indicator variable is the slope of the regression equation.

After studying the milk yields of a randomly selected sample of 1,000 cows, researchers felt that the presence of white spots (WS;) on a cow's body led to a different level of milk production (MP;). The researchers estimate the OLS regression: where WS; is a binary variable of the form: The 95% confidence interval for the coefficient B₁ is ), D). MP; = 5.36 +0.14 × WS;, (2.23) (1.04) 1, if the ith WS;= cow has white spots O, if the ith cow doesn't have white spots (Round your answers to four decimal places.) Based on this interval, we will the hypothesis ẞ₁ = 0 at the 5% significance level. Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? A. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white spots. B. The coefficient is the sum of the conditional expectation of the presence of white spots on a cow with respect to the average milk production. C. The coefficient is the difference between the population means of the milk production of cows with and without white spots. D. The coefficient of the indicator variable is the slope of the regression equation.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy

Problem 5EA

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