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A Researcher Is Investigating Variables That Might Be Associated with the Academic

Question 33

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A researcher is investigating variables that might be associated with the academic performance of high school students.She examined data from 1990 for each of the 50 states plus Washington,DC.The data included information on the following variables.  A researcher is investigating variables that might be associated with the academic performance of high school students.She examined data from 1990 for each of the 50 states plus Washington,DC.The data included information on the following variables.   As part of her investigation,she ran the multiple regression model SATM =  \beta <sub>0</sub> +  \beta <sub>1</sub>($ per pupil) +  \beta <sub>2</sub>(% taking) +  \varepsilon <sub>i</sub>, Where the deviations  \varepsilon <sub>i</sub> were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of  \sigma .This model was fit to the data using the method of least squares.The following results were obtained from statistical software.     What is an approximate 95% confidence interval for  \beta <sub>1</sub>,the coefficient of the variable $ per pupil? A) 0.00639 ± 0.0025 B) 0.00639 ± 0.0042 C) 0.00639 ± 0.0050 D) 0.00639 ± 0.0067 As part of her investigation,she ran the multiple regression model SATM = β\beta 0 + β\beta 1($ per pupil) + β\beta 2(% taking) + ε\varepsilon i,
Where the deviations ε\varepsilon i were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of σ\sigma .This model was fit to the data using the method of least squares.The following results were obtained from statistical software.  A researcher is investigating variables that might be associated with the academic performance of high school students.She examined data from 1990 for each of the 50 states plus Washington,DC.The data included information on the following variables.   As part of her investigation,she ran the multiple regression model SATM =  \beta <sub>0</sub> +  \beta <sub>1</sub>($ per pupil) +  \beta <sub>2</sub>(% taking) +  \varepsilon <sub>i</sub>, Where the deviations  \varepsilon <sub>i</sub> were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of  \sigma .This model was fit to the data using the method of least squares.The following results were obtained from statistical software.     What is an approximate 95% confidence interval for  \beta <sub>1</sub>,the coefficient of the variable $ per pupil? A) 0.00639 ± 0.0025 B) 0.00639 ± 0.0042 C) 0.00639 ± 0.0050 D) 0.00639 ± 0.0067  A researcher is investigating variables that might be associated with the academic performance of high school students.She examined data from 1990 for each of the 50 states plus Washington,DC.The data included information on the following variables.   As part of her investigation,she ran the multiple regression model SATM =  \beta <sub>0</sub> +  \beta <sub>1</sub>($ per pupil) +  \beta <sub>2</sub>(% taking) +  \varepsilon <sub>i</sub>, Where the deviations  \varepsilon <sub>i</sub> were assumed to be independent and Normally distributed with a mean of 0 and a standard deviation of  \sigma .This model was fit to the data using the method of least squares.The following results were obtained from statistical software.     What is an approximate 95% confidence interval for  \beta <sub>1</sub>,the coefficient of the variable $ per pupil? A) 0.00639 ± 0.0025 B) 0.00639 ± 0.0042 C) 0.00639 ± 0.0050 D) 0.00639 ± 0.0067 What is an approximate 95% confidence interval for β\beta 1,the coefficient of the variable $ per pupil?


A) 0.00639 ± 0.0025
B) 0.00639 ± 0.0042
C) 0.00639 ± 0.0050
D) 0.00639 ± 0.0067

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