Consider the multiple regression model to investigate the relationship between the number of fishes (Y) per section of the stream and the following independent variables: dissolved oxygen (3 < oxy < 10, in mg/liter), maximum depth (1 < maxdepth < 8, in feet), and water temperature (5 < temp < 20, in °C). The location of the stream was also considered (lowland and upland). Y-hat= 23.09 + 0.199*oxy + 0.3361*maxdepth +8.6730*temp + 3.8290*lowland. Which of the following is(are) TRUE about the estimated regression coefficient for location of the stream? I. The location of the stream is a categorical variable, so it is represented by a dummy variable with upland stream as the reference variable. II. Holding other factors constant, the number of fishes in lowland is 3.8290 higher than upland streams. O A. I only O B. II only O C. Both I and II O D. Neither I nor II

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Consider the multiple regression model to investigate the relationship between the number of fishes (Y) per
section of the stream and the following independent variables: dissolved oxygen (3 < oxy < 10, in mg/liter),
maximum depth (1 < maxdepth < 8, in feet), and water temperature (5< temp < 20, in °C). The location of the
stream was also considered (lowland and upland).
Y-hat = 23.09 + 0.199*oxy + 0.3361*maxdepth +8.6730*temp + 3.8290* lowland.
Which of the following is(are) TRUE about the estimated regression coefficient for location of the stream?
1. The location of the stream is a categorical variable, so it is represented by a dummy variable with
upland stream as the reference variable.
II. Holding other factors constant, the number of fishes in lowland is 3.8290 higher than upland streams.
O A. I only
O B. II only
O C. Both I and II
O D. Neither I nor II
Transcribed Image Text:Consider the multiple regression model to investigate the relationship between the number of fishes (Y) per section of the stream and the following independent variables: dissolved oxygen (3 < oxy < 10, in mg/liter), maximum depth (1 < maxdepth < 8, in feet), and water temperature (5< temp < 20, in °C). The location of the stream was also considered (lowland and upland). Y-hat = 23.09 + 0.199*oxy + 0.3361*maxdepth +8.6730*temp + 3.8290* lowland. Which of the following is(are) TRUE about the estimated regression coefficient for location of the stream? 1. The location of the stream is a categorical variable, so it is represented by a dummy variable with upland stream as the reference variable. II. Holding other factors constant, the number of fishes in lowland is 3.8290 higher than upland streams. O A. I only O B. II only O C. Both I and II O D. Neither I nor II
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