The image presents a statistical analysis exercise that investigates the relationship between calories and sugar content in seven different types of breakfast cereals. Here's a transcription of the content:---**Data Table:**- **Product:** - Cereal 1: 79 calories, 5 grams of sugar - Cereal 2: 102 calories, 4 grams of sugar - Cereal 3: 121 calories, 7 grams of sugar - Cereal 4: 101 calories, 3 grams of sugar - Cereal 5: 140 calories, 12 grams of sugar - Cereal 6: 90 calories, 3 grams of sugar - Cereal 7: 97 calories, 8 grams of sugar**Hypotheses Choices:**- **D.** - Null Hypothesis (\(H_0\)): \(\beta_1 \geq 0\) - Alternative Hypothesis (\(H_1\)): \(\beta_1 < 0\)- **E.** - Null Hypothesis (\(H_0\)): \(\beta_1 \leq 0\) - Alternative Hypothesis (\(H_1\)): \(\beta_1 > 0\)- **F.** - Null Hypothesis (\(H_0\)): \(\beta_0 = 0\) - Alternative Hypothesis (\(H_1\)): \(\beta_0 \neq 0\)**Tasks:**1. Compute the test statistic: - The test statistic is _______. (Round to two decimal places as needed.)2. Determine the p-value: - The p-value is _______. (Round to three decimal places as needed.)3. Reach a decision: - Choose between "sufficient" or "insufficient" evidence to conclude that there is a significant linear relationship between calories and sugar content at the 0.05 level of significance.---No graphs or additional diagrams are provided in the image. **Cereal Calorie and Sugar Analysis**The data in the table represent the calories and sugar (in grams) in one serving of seven different types of breakfast cereals.| Product | Calories | Sugar ||---------|----------|-------|| Cereal 1| 79 | 5 || Cereal 2| 103 | 1 || Cereal 3| 102 | 3 || Cereal 4| 109 | 4 || Cereal 5| 133 | 3 || Cereal 6| 194 | 12 || Cereal 7| 205 | 9 |### Questions:**a. Compute and interpret the coefficient of correlation, \( r \).**- The coefficient of correlation, \( r = [ \_\_\_ ] \), indicates [select the appropriate option] correlation. (Round to three decimal places as needed.)**b. At the 0.05 level of significance, is there a significant linear relationship between calories and sugar?**- Determine the hypotheses for the test. Choose the correct answer below: - A. \( H_0: \beta_1 \le 0 \) \( H_1: \beta_1 > 0 \) - B. \( H_0: \rho = 0 \) \( H_1: \rho > 0 \) - C. \( H_0: \rho = 0 \) \( H_1: \rho \neq 0 \) - D. \( H_0: \beta_1 \ge 0 \) \( H_1: \beta_1 < 0 \) - E. \( H_0: \beta_1 = 0 \) \( H_1: \beta_1 < 0 \) - F. \( H_0: \beta_0 = 0 \) \( H_1: \beta_0 \neq 0 \)This analysis will assist in understanding the relationship between calories and sugar content in breakfast cereals, using statistical methods for accurate interpretation.

From given data we have : n=7 Calories (x) Sugar (y) 79 5 103 1 102 3 109 4 133 3 194…

Answered: The data in the table to the right…

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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Pls complete the table. Typewritten
Use the .05 level of significance. Solve for the appropriate test statistic
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