A researcher in the education department wants to determine if the number of hou

Question

A researcher in the education department wants to determine if the number of hours that business students study per week at a state university varies by quarter. He conducts a survey where business students are asked how much they study per week in each of the three quarters. He defines a dummy variable Fall that equals 1 if the survey was conducted in the fall quarter and 0 otherwise. The dummy variables Winter and Spring are defined similarly. The accompanying table shows a portion of the data for 120 students (Use Table 2)

Estimate the appropriate model. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

Find the predicted number of hours that students study per week for fall quarter. (Round your answers to 2 decimal places.)

Find the predicted number of hours that students study per week for spring quarter. (Round your answers to 2 decimal places.)

Construct the 95% confidence interval for the expected number of hours that students study per week in the fall quarters. (Round your intermediate calculations to 4 decimal places, "t?/2,df" value to 3 decimal places, and final answers to 2 decimal places.)

Construct the 95% confidence interval for the expected number of hours that students study per week in the spring quarters. (Round your intermediate calculations to 4 decimal places, "t?/2,df" value to 3 decimal places, and final answers to 2 decimal places.)

Study Hours Fall Winter Spring 11 0 0 0 11 0 1 1 12 0 0 0 14 1 1 1 13 1 0 1 12 0 0 0 10 1 1 1 12 0 1 1 14 0 0 0 10 1 1 1 11 1 0 0 12 0 1 0 12 0 0 1 11 0 1 1 11 0 0 0 16 0 0 0 16 1 1 0 12 0 1 0 13 0 0 1 12 0 0 0 10 0 1 1 10 1 0 1 10 1 0 1 11 1 1 1 10 0 1 0 15 1 0 1 11 0 1 0 12 1 0 1 17 0 0 1 12 1 1 1 15 0 1 0 16 0 1 1 13 0 1 1 11 0 1 1 10 0 0 1 18 0 0 1 13 1 1 1 14 0 0 1 12 0 1 1 10 0 1 1 11 0 1 0 13 0 0 1 15 0 0 0 14 0 0 0 10 0 0 1 18 1 1 1 11 1 1 0 14 0 0 1 10 1 0 0 11 0 1 1 14 1 1 1 13 0 0 1 16 0 1 1 11 1 0 1 14 0 0 0 11 0 0 0 10 1 1 0 15 1 0 1 10 0 1 0 11 1 1 1 10 0 1 1 19 0 0 1 14 1 1 0 12 0 1 0 11 0 0 0 10 0 1 0 12 1 1 1 13 1 1 0 13 1 1 0 14 0 0 1 11 0 0 1 12 1 0 0 12 0 1 1 13 0 1 0 10 1 0 1 10 1 0 0 17 0 1 0 12 0 1 0 10 1 0 0 14 1 0 0 14 1 0 1 13 1 0 1 14 0 0 1 10 0 0 0 18 1 0 1 12 0 1 0 17 1 1 0 10 1 1 1 14 0 1 1 10 1 1 0 13 1 1 1 11 1 0 0 11 0 0 1 11 0 0 0 15 1 0 0 10 0 0 1 12 1 1 0 13 1 0 1 11 0 0 0 15 0 0 1 10 1 1 1 17 0 1 0 15 1 0 1 13 1 0 1 13 0 1 1 12 1 1 0 10 0 0 1 12 0 1 0 16 1 1 0 11 1 1 0 10 1 0 1 15 1 1 0 11 1 1 1 18 1 0 0 12 1 1 0 10 1 1 1 15 1 1 0 11 0 1 1 15 1 0 0 14 1 1 0 A researcher in the education department wants to determine if the number of hours that business students study per week at a state university varies by quarter. He conducts a survey where business students are asked how much they study per week in each of the three quarters. He defines a dummy variable Fall that equals 1 if the survey was conducted in the fall quarter and 0 otherwise. The dummy variables Winter and Spring are defined similarly. The accompanying table shows a portion of the data for 120 students (Use Table 2) Estimate the appropriate model.(Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Find the predicted number of hours that students study per week for fall quarter. (Round your answers to 2 decimal places.) Find the predicted number of hours that students study per week for spring quarter. (Round your answers to 2 decimal places.) Construct the 95% confidence interval for the expected number of hours that students study per week in the fall quarters. (Round your intermediate calculations to 4 decimal places, t?/2,df value to 3 decimal places, and final answers to 2 decimal places.) Construct the 95% confidence interval for the expected number of hours that students study per week in the spring quarters. (Round your intermediate calculations to 4 decimal places, t?/2,df value to 3 decimal places, and final answers to 2 decimal places.)

Explanation / Answer

(a-1) Study Hours = 12.72 + 0.14*Fall -0.38*Winter

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(b-1)Study Hours = 12.72 + 0.14*1 -0.38*0 =12.86

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(b-2)Study Hours = 12.72 + 0.14*0 -0.38*1=12.34

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(c-1) (12.10, 13.61)

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(c-2) (11.63, 13.04)

Regression output confidence interval variables coefficients std. error    t (df=117) p-value 95% lower 95% upper Intercept 12.7164 0.3501 36.322 1.50E-65 12.0230 13.4097 Fall 0.1381 0.4190 0.330 .7424 -0.6917 0.9678 Winter -0.3822 0.4183 -0.914 .3628 -1.2105 0.4462

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