You may need to use the appropriate technology to answer this question. Consider the data. X₁269 13 20 Y₁ 6 20 11 27 21 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. Ho: ₁0 Ha: ₁0 Ho: P₁0 H₂: B₂ O Ho: B₂ 20 O Ho: Po o Hồ ly=0 ○ Ho: Po=0 Ha: Po *0 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 Do not reject Ho. We cannot conclude that the relationship between x and y is significant. 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. (c) Use the F test to test for a significant relationship. Use a = 0.05. State the null and alternative hypotheses. Ho: Boo Hai Boo ○ Ho: B₂ = 0 H₂: B₂ 0 O Ho: Po o H₂ P=0 O Ho: B₂0 H₂: ₁0 O Ho: B₂ 20 Hỷ Đo Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value=
You may need to use the appropriate technology to answer this question. Consider the data. X₁269 13 20 Y₁ 6 20 11 27 21 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. Ho: ₁0 Ha: ₁0 Ho: P₁0 H₂: B₂ O Ho: B₂ 20 O Ho: Po o Hồ ly=0 ○ Ho: Po=0 Ha: Po *0 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 Do not reject Ho. We cannot conclude that the relationship between x and y is significant. 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. (c) Use the F test to test for a significant relationship. Use a = 0.05. State the null and alternative hypotheses. Ho: Boo Hai Boo ○ Ho: B₂ = 0 H₂: B₂ 0 O Ho: Po o H₂ P=0 O Ho: B₂0 H₂: ₁0 O Ho: B₂ 20 Hỷ Đo Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value=
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
![### Consider the Data
\[
\begin{array}{c|ccccc}
x_i & 7 & 6 & 9 & 13 & 20 \\
y_i & 6 & 20 & 11 & 27 & 21 \\
\end{array}
\]
**(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)**
**Answer:**
\[ \text{Standard Error} = \underline{\hspace{4cm}} \]
**(b) Test for a significant relationship by using the t test. Use \(\alpha = 0.05\).**
1. **State the null and alternative hypotheses.**
- \[
\begin{array}{c}
\text{Null Hypothesis, } H_0: \beta_1 = 0 \\
\text{Alternative Hypothesis, } H_1: \beta_1 \neq 0 \\
\end{array}
\]
2. **Find the value of the test statistic. (Round your answer to three decimal places.)**
**Test Statistic: ** \( \underline{\hspace{4cm}} \)
3. **Find the p-value. (Round your answer to four decimal places.)**
**p-value: ** \( \underline{\hspace{4cm}} \)
4. **State your conclusion.**
\(\circ\) Do not reject \( H_0 \). We cannot conclude that the relationship between \( x \) and \( y \) is significant.
\(\circ\) Reject \( H_0 \). We conclude that the relationship between \( x \) and \( y \) is significant.
**(c) Use the t test to test for a significant relationship. Use \(\alpha = 0.05\).**
1. **State the null and alternative hypotheses.**
- \[
\begin{array}{c}
\text{Null Hypothesis, } H_0: \beta_1 = 0 \\
\text{Alternative Hypothesis, } H_1: \beta_1 \neq 0 \\
\end{array}
\]
2. **Find the value of the test statistic. (Round your answer to two decimal places.)**
**Test Statistic: ** \( \underline{\h](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F928f3826-faea-4936-b5b6-4aab28469498%2Fc0fd7f0b-788d-46dc-b903-3630e060e377%2F7xqsuh8_processed.png&w=3840&q=75)
Transcribed Image Text:### Consider the Data
\[
\begin{array}{c|ccccc}
x_i & 7 & 6 & 9 & 13 & 20 \\
y_i & 6 & 20 & 11 & 27 & 21 \\
\end{array}
\]
**(a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.)**
**Answer:**
\[ \text{Standard Error} = \underline{\hspace{4cm}} \]
**(b) Test for a significant relationship by using the t test. Use \(\alpha = 0.05\).**
1. **State the null and alternative hypotheses.**
- \[
\begin{array}{c}
\text{Null Hypothesis, } H_0: \beta_1 = 0 \\
\text{Alternative Hypothesis, } H_1: \beta_1 \neq 0 \\
\end{array}
\]
2. **Find the value of the test statistic. (Round your answer to three decimal places.)**
**Test Statistic: ** \( \underline{\hspace{4cm}} \)
3. **Find the p-value. (Round your answer to four decimal places.)**
**p-value: ** \( \underline{\hspace{4cm}} \)
4. **State your conclusion.**
\(\circ\) Do not reject \( H_0 \). We cannot conclude that the relationship between \( x \) and \( y \) is significant.
\(\circ\) Reject \( H_0 \). We conclude that the relationship between \( x \) and \( y \) is significant.
**(c) Use the t test to test for a significant relationship. Use \(\alpha = 0.05\).**
1. **State the null and alternative hypotheses.**
- \[
\begin{array}{c}
\text{Null Hypothesis, } H_0: \beta_1 = 0 \\
\text{Alternative Hypothesis, } H_1: \beta_1 \neq 0 \\
\end{array}
\]
2. **Find the value of the test statistic. (Round your answer to two decimal places.)**
**Test Statistic: ** \( \underline{\h
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 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