Problem 4 Based on the regression output in the following table (sample size n = 14), test the following hypothesis using a = 0.05: Table 1: Regression Output for Computer Repair Data Variable Coefficient s.e. t-Test Constant Units 4.162 3.355 1.24 15.509 0.505 30.71 (a) Ho: 31 = 15 versus H₁:31 15 (b) Ho 3115 versus H₁: ₁ > 15 : (c) Ho: 300 versus H₁: 30 0 = (d) Ho: 3o = 5 versus H₁: 30 #5 p-value 0.2385 <0.0001 Using the regression output in Problem 4, construct the 98% confidence interval for 3o.
Problem 4 Based on the regression output in the following table (sample size n = 14), test the following hypothesis using a = 0.05: Table 1: Regression Output for Computer Repair Data Variable Coefficient s.e. t-Test Constant Units 4.162 3.355 1.24 15.509 0.505 30.71 (a) Ho: 31 = 15 versus H₁:31 15 (b) Ho 3115 versus H₁: ₁ > 15 : (c) Ho: 300 versus H₁: 30 0 = (d) Ho: 3o = 5 versus H₁: 30 #5 p-value 0.2385 <0.0001 Using the regression output in Problem 4, construct the 98% confidence interval for 3o.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 5E
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Transcribed Image Text:Problem 4 Based on the regression output in the following table (sample size n = 14), test the following
hypothesis using a = 0.05:
Table 1: Regression Output for Computer Repair Data
Variable Coefficient
s.e. t-Test p-value
3.355 1.24 0.2385
Constant
4.162
Units
15.509 0.505 30.71 <0.0001
(a) Ho 3115 versus H₁ : 31 # 15
:
=
(b) Ho 31 15 versus H₁: 3₁ > 15
:
=
(c) Ho 300 versus H₁: 30 0
:
=
(d) Ho So 5 versus H₁: 30 # 5
=
Using the regression output in Problem 4, construct the 98% confidence interval for 30.
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Step 1: State the given information.
VIEWStep 2: Hypothesis test for the slope coefficient β1 not equal to 15.
VIEWStep 3: Hypothesis test for the slope coefficient β1 greater than 15.
VIEWStep 4: Hypothesis test for the intercept coefficient β0 not equal to 0.
VIEWStep 5: Hypothesis test for the slope coefficient β0 not equal to 5.
VIEWStep 6: Construct the 98% confidence interval for β0
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