Question
In: Statistics and Probability
The following data come from a regression of the Exam Grades on Hours Studying, self rated...
| The following data come from a regression of the Exam Grades on Hours Studying, self rated Anxiety, and A-Level Entry points (this is part of the British education system) for 20 students. | |||||
| Coefficients | Standard Error | t Stat | P-value | ||
| Intercept | -11.823 | 8.806 | -1.343 | 0.198 | |
| Hours Studying | 0.551 | 0.171 | 3.226 | 0.005 | |
| Anxiety | 0.104 | 0.058 | 1.796 | 0.091 | |
| A-Level Entry Points | 1.989 | 0.496 | 4.239 | 0.001 | |
| What is the 95% confidence interval for Hours Studying? | |||||
| A. | (0.189,0.913) | ||||
| B. | (-0.019,0.226) | ||||
| C. | (0.000,1.102) | ||||
| D. | (0.326,0.778) | ||||
Solutions
Expert Solution
number of independent variables (k) = 3
total number of students (N) = 20
df (error) = (N-k-1) = (20-3-1) = 16
t critical value for df = 16, alpha = 0.05, both tailed test be:-
[ using t distribution table]
from the given output:-
the coefficient for Hours Studying=0.551
standard error of the coefficient = 0.171
the 95% confidence interval interval for Hours Studying is:-
(A)
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orchestra answered 3 years agoRelated Solutions
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data give the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
1
1
2
3
6
Midterm Grades
65
73
74
86
91
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=65.9185 and b1=4.5698 for the calculations. Round your answer to
three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s^2e. Round your
answer to three decimal places.
Step...
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data give the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
1
1
2
3
6
Midterm Grades
65
73
74
86
91
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=65.9185 and b1=4.5698 for the calculations. Round your answer to
three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s^2e. Round your
answer to three decimal places.
Step...
The following data gives the number of hours 7 students spent studying and their corresponding grades...
The following data gives the number of hours 7 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0
1
2.5
3
4
4.5
5.5
gRADES
60
69
72
75
78
81
90
Step 1 of 3:
Calculate the correlation coefficient, r. Round your answer to
six decimal places.
Step 2 of 3:
Determine if r is statistically significant at the 0.050.05
level.
Step 3 of 3:
Calculate the coefficient of determination, r2r2. Round your
answer...
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data
give the number of hours 5 students spent studying and their
corresponding grades on their midterm exams.
Hours Studying
1
1
3
5
6
Grades
74
86
87
96
98
Step 1 of 5 : Calculate the sum of squared
errors (SSE). Use the values b0=76.2307b0=76.2307 and
b1=3.7404b1=3.7404 for the calculations.
Step 2 of 5 : Calculate the estimated variance
of errors, s^2e. .
Step 3 of 5 : Calculate the estimated variance
of slope, s^2b1 ....
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data give the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
0
1
3
4
6
Midterm Grades
73
78
85
90
93
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=74.2456 and b1=3.4123 for the calculations. Round your answer to
three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s2e . Round your
answer to three decimal places....
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0
0.5
1
2
2.5
3
4
4.5
5
5.5
Midterm Grades
60
63
75
81
84
87
90
93
96
99
Determine if r is statistically significant at the 0.01
level.
The following data give the number of hours 55 students spent studying and their corresponding grades...
The following data give the number of hours 55 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
2
5
5
5
5
Midterm Grades
68
74
81
92
99
Step 4 of 5 :
Construct the 90% confidence interval for the slope. Round your
answers to three decimal places.
The following data give the number of hours 55 students spent studying and their corresponding grades...
The following data give the number of hours 55 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
3
3
4
5
5
Midterm Grades
72
74
74
75
79
Step 1 of 5: Calculate the sum of squared errors (SSE). Use the
values b0=66.8000 and b1=2.0000 for the calculations. Round your
answer to three decimal places.
Step 2 of 5: Calculate the estimated variance of errors, se2.
Round your answer to three decimal places.
Step...
The following data gives the number of hours 5 students spent studying and their corresponding grades...
The following data gives the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0
1
2
4
5
Midterm Grades
69
72
75
84
93
Copy Data
Step 1 of 3: Calculate the coefficient of determination, R2.
Round your answer to three decimal places.
Step 2 of 3: Determine if r if statistically significant at the
0.01 level. (a) Yes (b) No
Step 3 of 3: Calculate the coefficient of...
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data give the number of hours 5 students spent
studying and their corresponding grades on their exams.
Hours Studying
2
2
4
6
6
Grades
64
73
76
77
86
Step 5 of 5 :
Construct the 95% confidence interval for the slope. Round your
answers to three decimal places.
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