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A researcher in the education department wants to determine

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.)

Solution

(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
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
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
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
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

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