onsider the following set of ordered pairs. Assuming that the regression line is y= 2.205 + 0.645x and that the SSE = 7.7180, test to determine if the slope is not equal to zero using a= 0.10. I am having trouble, please h
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Consider the following set of ordered pairs.
Assuming that the regression line is y= 2.205 + 0.645x and that the SSE = 7.7180, test to determine if the slope is not equal to zero using a= 0.10.
I am having trouble, please help!
![### Regression Analysis Exercise
**Consider the following set of ordered pairs:**
\[
\begin{array}{c|c}
x & 6 \quad 0 \quad 5 \quad 3 \quad 3 \quad 1 \\
\hline
y & 6 \quad 1 \quad 6 \quad 3 \quad 4 \quad 5 \\
\end{array}
\]
Assuming that the regression equation is \(\hat{y} = 2.205 + 0.654x\) and that the SSE (Sum of Squares for Error) = 7.7180, test to determine if the slope is not equal to zero using \(\alpha = 0.10\).
### Steps:
1. **Calculate the test statistic.**
\[
t = \_\_\_ \quad \text{(Round to two decimal places as needed.)}
\]
2. **Identify the p-value.**
\[
\text{p-value} = \_\_\_ \quad \text{(Round to three decimal places as needed.)}
\]
3. **State the conclusion. Choose the correct answer below.**
- **A.** Do not reject \( H_0 \). There is insufficient evidence to conclude that the regression slope is not equal to zero.
- **B.** Reject \( H_0 \). There is insufficient evidence to conclude that the regression slope is not equal to zero.
- **C.** Reject \( H_0 \). There is sufficient evidence to conclude that the regression slope is not equal to zero.
- **D.** Do not reject \( H_0 \). There is sufficient evidence to conclude that the regression slope is not equal to zero.
**Click to select your answer(s).**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1f7037f-b2ab-43a0-aa28-3207bbcdb8a6%2F9a0dc242-3c6c-481d-8381-398f4d3f48bf%2Fzpihm7_processed.jpeg&w=3840&q=75)
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