Given are five observations for two variables, and y. The estimated regression equation is = 0.2 +2.6x a. Compute the mean square error using the following equation (to 3 decimals). Yi 1 3 b. Compute the standard error of the estimate using the following equation (to 3 decimals). c. Compute the estimated standard deviation by using the following equation (to 3 decimals). 2 7 3 5 4 5 11 14
Given are five observations for two variables, and y. The estimated regression equation is = 0.2 +2.6x a. Compute the mean square error using the following equation (to 3 decimals). Yi 1 3 b. Compute the standard error of the estimate using the following equation (to 3 decimals). c. Compute the estimated standard deviation by using the following equation (to 3 decimals). 2 7 3 5 4 5 11 14
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.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
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Transcribed Image Text:Given are five observations for two variables, and y.
The estimated regression equation is ŷ = 0.2 +2.6x
a. Compute the mean square error using the following equation (to 3 decimals).
d. Use the t test to test the following hypotheses (α = 0.05 ):
Ho B₁0
Ha B₁ 0
Compute the value of the t test statistic (to 2 decimals).
Use Table 2 of Appendix B to find the p-value.
The p-value is between 0.01 and 0.02
What is your conclusion?
b. Compute the standard error of the estimate using the following equation (to 3 decimals).
c. Compute the estimated standard deviation by using the following equation (to 3 decimals).
Source of Variation Degrees of Freedom
Regression
X;
Error
Yi
Total
What is your conclusion, based on this F test?
Conclude a significant relationship exists between x and y
1
Sum of Squares Mean Square
3
00
2
Cannot conclude a significant relationship exists between x and y
e. Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Complete the F table below. Give the Sum of Squares to 1 decimal, the Mean Squares to 3 decimals, F ratio to 2 decimals and the p-value to 4 decimals. Do not round intermediate calculations.
7
3
F
5
4 5
11
14
p-value
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