Consider the following data on x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. x 6 12 14 18 23 30 40 47 55 67 72 84 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 75 82 99 104 Use the general software output to decide whether there is a useful linear relationship between rainfall and runoff. Predictor Intercept rainfall Coef Stdev t p-value -1.986 2.367 -0.84 0.4165 0.849 0.036 23.36 0.0000 s = 5.216 R-sq = 97.7% R-sq(adj) = 97.5% State the least squares regression equation. ŷ: State the appropriate null and alternative hypotheses. O Ho: P₁-0 H₂ P<0 Ho: B₁ = 0 Ha B1 = 0 = O Ho: B1-0 H₂: B₁ = 0 ○ Ho: P₁ = 0 H₁₁> 0 From the output state the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) t= P-value= State the conclusion in the problem context. (Use α = 0.05.) O Reject Ho. There is a useful linear relationship between runoff and rainfall at the 0.05 level. Reject Ho. There is not a useful linear relationship between runoff and rainfall at the 0.05 level. Fail to reject Ho. There is not a useful linear relationship between runoff and rainfall at the 0.05 level. Fail to reject Ho. There is a useful linear relationship between runoff and rainfall at the 0.05 level. Calculate a 95% confidence interval for the true average change in runoff volume associated with a 1 m³ increase in rainfall volume. (Round your answers to three decimal places.) m³
Consider the following data on x = rainfall volume (m³) and y = runoff volume (m³) for a particular location. x 6 12 14 18 23 30 40 47 55 67 72 84 96 112 127 y 4 10 13 15 15 25 27 46 38 46 53 75 82 99 104 Use the general software output to decide whether there is a useful linear relationship between rainfall and runoff. Predictor Intercept rainfall Coef Stdev t p-value -1.986 2.367 -0.84 0.4165 0.849 0.036 23.36 0.0000 s = 5.216 R-sq = 97.7% R-sq(adj) = 97.5% State the least squares regression equation. ŷ: State the appropriate null and alternative hypotheses. O Ho: P₁-0 H₂ P<0 Ho: B₁ = 0 Ha B1 = 0 = O Ho: B1-0 H₂: B₁ = 0 ○ Ho: P₁ = 0 H₁₁> 0 From the output state the test statistic value and find the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) t= P-value= State the conclusion in the problem context. (Use α = 0.05.) O Reject Ho. There is a useful linear relationship between runoff and rainfall at the 0.05 level. Reject Ho. There is not a useful linear relationship between runoff and rainfall at the 0.05 level. Fail to reject Ho. There is not a useful linear relationship between runoff and rainfall at the 0.05 level. Fail to reject Ho. There is a useful linear relationship between runoff and rainfall at the 0.05 level. Calculate a 95% confidence interval for the true average change in runoff volume associated with a 1 m³ increase in rainfall volume. (Round your answers to three decimal places.) m³
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
not use ai please
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman