The image presents a statistical exercise focused on testing the null hypothesis concerning the relationship between two variables, X and Y. It provides sample data (n = 18) with SSR (Sum of Squares for Regression) equal to 80 and SSE (Sum of Squares for Error) equal to 20. The exercise involves completing parts (a) through (e), with part (e) specifically addressed in the image.**Part (e):** At the 0.05 level of significance, the exercise asks whether there is a significant correlation between X and Y. The task is to determine the null and alternative hypotheses for this test.**Hypothesis Options:**- Option A: - Null Hypothesis (H₀): ρ ≠ 0 - Alternative Hypothesis (H₁): ρ = 0- Option B: - Null Hypothesis (H₀): ρ = 0 - Alternative Hypothesis (H₁): ρ ≠ 0- Option C: - Null Hypothesis (H₀): ρ ≤ 0 - Alternative Hypothesis (H₁): ρ > 0- Option D: - Null Hypothesis (H₀): ρ ≥ 0 - Alternative Hypothesis (H₁): ρ < 0The task is to find the test statistic, denoted as t_STAT, and it instructs to round the answer to four decimal places. Additionally, it involves determining the critical values of t, with a placeholder provided for the lower critical value.There is no graph or diagram visible in the image. **Hypothesis Testing for Correlation**In this exercise, you are testing the null hypothesis that there is no relationship between two variables, X and Y. Based on your sample with \( n = 18 \), you have determined that the Sum of Squares Regression (SSR) is 80, and the Sum of Squares Error (SSE) is 20. Complete parts (a) through (e) below.---**Determine the critical values of t.**- The lower critical value is: [ ]- The upper critical value is: [ ] *(Round to four decimal places as needed.)***Is there significant correlation between X and Y?**- **A.** No because \( t_{STAT} \) is outside the range of the critical values.- **B.** No because \( t_{STAT} \) is between the lower critical value and the upper critical value.- **C.** Yes because \( t_{STAT} \) is between the lower critical value and the upper critical value.- **D.** Yes because \( t_{STAT} \) is outside the range of the critical values.

e. The sample size is 18, SSR is 80 and SSE is 20.

Answered: You are testing the null hypothesis…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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