After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS) on a cow's body led to a different let milk production (MP). The researchers estimate the OLS regression: MP = 5.36 +0.12×WS,, (2.23) (1.04) where WS, is a binary variable of the form: 1, if the " cow has white spots WS, = 0, if the in cow doesn't have white spots The 95% confidence interval for the coefficient B, is (Round your answers to four decimal places.) V the hypothesis B, = 0 at the 5% significance level. Based on this interval, we will Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? O 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. O B. The coefficient of the indicator variable is the slope of the regression equation. O C. The coefficient is the difference between the population means of the milk production of cows with and without white spots. Click to select your answer(s).

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After studying the milk yields of a randomly selected sample of 900 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:
MP = 5.36 +0.12×WS,
(2.23) (104)
where WS, is a binary variable of the form:
th
1, if the
i cow has white spots
WS, =
th
0, if the i" cow doesn't have white spots
The 95% confidence interval for the coefficient B, is
(Round your answers to four decimal places.)
Based on this interval, we will
the hypothesis B, = 0 at the 5% significance level.
19
Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case?
O 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 of the indicator variable is the slope of the regression equation
В.
O C. The coefficient is the difference between the population means of the milk production of cows with and without white spots.
Click to select your answer(s).
DOLL
Transcribed Image Text:After studying the milk yields of a randomly selected sample of 900 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: MP = 5.36 +0.12×WS, (2.23) (104) where WS, is a binary variable of the form: th 1, if the i cow has white spots WS, = th 0, if the i" cow doesn't have white spots The 95% confidence interval for the coefficient B, is (Round your answers to four decimal places.) Based on this interval, we will the hypothesis B, = 0 at the 5% significance level. 19 Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? O 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 of the indicator variable is the slope of the regression equation В. O C. The coefficient is the difference between the population means of the milk production of cows with and without white spots. Click to select your answer(s). DOLL
MP = 5.36 +0.12×WS,
(2.23) (1.04)
where WS, is a binary variable of the form:
th
1, if the
WS, =
cow has white spots
0, if the " cow doesn't have white spots
The 95% confidence interval for the coefficient B, is ( ).
(Round your answers to four decimal places.)
Based on this interval, we will
the hypothesis B, = 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?
O 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.
O B. The coefficient of the indicator variable is the slope of the regression equation.
O C. The coefficient is the difference between the population means of the milk production of cows with and without white spots.
O D. 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.
Click to select your answer(s).
W
DELL
Transcribed Image Text:MP = 5.36 +0.12×WS, (2.23) (1.04) where WS, is a binary variable of the form: th 1, if the WS, = cow has white spots 0, if the " cow doesn't have white spots The 95% confidence interval for the coefficient B, is ( ). (Round your answers to four decimal places.) Based on this interval, we will the hypothesis B, = 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? O 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. O B. The coefficient of the indicator variable is the slope of the regression equation. O C. The coefficient is the difference between the population means of the milk production of cows with and without white spots. O D. 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. Click to select your answer(s). W DELL
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