For the given data, you need to:(a) Display the data in a scatter plot, (b) Calculate the correlation coefficient \( r \), and (c) Make a conclusion about the type of correlation.### DataThe ages (in years) of 6 children and the number of words in their vocabulary:- **Age, \( x \):** 1, 2, 3, 4, 5, 6- **Vocabulary size, \( y \):** 400, 400, 1450, 1400, 1600, 2450### Questions(a) Choose the correct scatter plot:- **Option A:** Scatter plot incorrectly shows no trend.- **Option B:** Incorrect axes orientation.- **Option C:** Incorrect axes orientation.- **Option D:** Correct scatter plot, showing a positive trend between Age (x-axis) and Vocabulary (y-axis).(b) Calculate the correlation coefficient \( r \). - **Input Required:** Round to three decimal places as needed.(c) Determine the correlation type:- **A.** Strong positive linear correlation- **B.** No linear correlation- **C.** Strong negative linear correlation- **D.** Weak positive linear correlation- **E.** Weak negative linear correlationSelect the most appropriate answer based on the scatter plot.

Here, sample size = n = 6. x : Age, y : Vocabulary size.

For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x Vocabulary size, y 400 1 2 4 400 1450 1400 1600 2450 (a) Choose the correct scatter plot below. O A. OB. OC. OD. 2500 7- 2500- 2500- 2500 Vocabulary Age Age Age (b) The correlation coefficient r is (Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between age and vocabulary size? O A. Strong positive linear correlation O B. No linear correlation C. Strong negative linear correlation O D. Weak positive linear correlation O E. Weak negative linear correlation Vocabulary

For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x Vocabulary size, y 400 1 2 4 400 1450 1400 1600 2450 (a) Choose the correct scatter plot below. O A. OB. OC. OD. 2500 7- 2500- 2500- 2500 Vocabulary Age Age Age (b) The correlation coefficient r is (Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between age and vocabulary size? O A. Strong positive linear correlation O B. No linear correlation C. Strong negative linear correlation O D. Weak positive linear correlation O E. Weak negative linear correlation Vocabulary

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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