Homework Help is Here – Start Your Trial Now!
Math
Statistics
Consider the data. x₁ 3 12 6 20 14 Y₁ 55 40 55 10 15 (a) Compute the mean square error using equation s2 = MSESSE (Round your answer to two decimal places.) n-2 (b) Compute the standard error of the estimate using equations = √MSE-2 (Round your answer to three decimal places.) (c) Compute the estimated standard deviation of b, using equation Sb₂√(x₁ - x)² (Round your answer to three decimal places.) Sp (d) Use the t test to test the following hypotheses (a = 0.05): Ho: ₂0 H₂:₁0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho- We conclude that the relationship between x and y is significant. O Reject Ho- We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression SSE Error Total Sum Degrees of Squares of Freedom Mean Square F Find the p-value. (Round your answer to three decimal places.) p-value= Find the value of the test statistic. (Round your answer to two decimal places.) p-value

Consider the data. x₁ 3 12 6 20 14 Y₁ 55 40 55 10 15 (a) Compute the mean square error using equation s2 = MSESSE (Round your answer to two decimal places.) n-2 (b) Compute the standard error of the estimate using equations = √MSE-2 (Round your answer to three decimal places.) (c) Compute the estimated standard deviation of b, using equation Sb₂√(x₁ - x)² (Round your answer to three decimal places.) Sp (d) Use the t test to test the following hypotheses (a = 0.05): Ho: ₂0 H₂:₁0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho- We conclude that the relationship between x and y is significant. O Reject Ho- We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Regression SSE Error Total Sum Degrees of Squares of Freedom Mean Square F Find the p-value. (Round your answer to three decimal places.) p-value= Find the value of the test statistic. (Round your answer to two decimal places.) p-value

Calculus For The Life Sciences
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...
See similar textbooks
icon
Related questions
Question
Consider the data. x; Y₁ 3 (a) Compute the mean square error using equation s² = MSE = 55 40 55 10 15 12 6 20 14 (b) Compute the standard error of the estimate using equation s = ✓MSE = (c) Compute the estimated standard deviation of b₁ using equation Sb₁ Find the p-value. (Round your answer to four decimal places.) p-value = Source of Variation Error SSE n-2 Regression Total (d) Use the t test to test the following hypotheses (α = 0.05): Ho: P₁ = 0 Ha: B₁ 0 Find the value of the test statistic. (Round your answer to three decimal places.) (Round your answer to two decimal places.) Sum Degrees of Squares of Freedom State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and is significant. O Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Mean Square (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) SSE n-2 S VΣ(x₁ - x)² Find the p-value. (Round your answer to three decimal places.) p-value = F (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.) (Round your answer to three decimal places.) p-value
Transcribed Image Text:Consider the data. x; Y₁ 3 (a) Compute the mean square error using equation s² = MSE = 55 40 55 10 15 12 6 20 14 (b) Compute the standard error of the estimate using equation s = ✓MSE = (c) Compute the estimated standard deviation of b₁ using equation Sb₁ Find the p-value. (Round your answer to four decimal places.) p-value = Source of Variation Error SSE n-2 Regression Total (d) Use the t test to test the following hypotheses (α = 0.05): Ho: P₁ = 0 Ha: B₁ 0 Find the value of the test statistic. (Round your answer to three decimal places.) (Round your answer to two decimal places.) Sum Degrees of Squares of Freedom State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and is significant. O Reject Ho. We conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Mean Square (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. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) SSE n-2 S VΣ(x₁ - x)² Find the p-value. (Round your answer to three decimal places.) p-value = F (Round your answer to three decimal places.) Find the value of the test statistic. (Round your answer to two decimal places.) (Round your answer to three decimal places.) p-value
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS