**Title: Analyzing Correlation between Seal Width and Weight****Dataset Description:**The table below presents the overhead widths (in cm) of seals measured from photographs and the corresponding weights (in kg) of these seals. The goal is to assess if there is a linear correlation between these measurements.**Data:**- Overhead Width (cm): 7.1, 7.5, 9.6, 9.4, 8.8, 8.2- Weight (kg): 112, 178, 238, 205, 204, 188**Objective:**Construct a scatterplot, determine the linear correlation coefficient \( r \), and find the critical values of \( r \) using \( \alpha = 0.05 \). We aim to determine whether there is sufficient evidence to conclude a linear relationship between the widths and weights of the seals.**Instructions:**- Click the link provided to view a table of critical values for the correlation coefficient.**Scatterplots:**Four scatterplots (A, B, C, D) represent different potential relationships between seal width and weight:1. **Graph A**: Plots weight (kg) versus width (cm). Data points appear somewhat linear, suggesting a possible positive correlation.2. **Graph B**: Displays weight versus width, with points forming a linear pattern indicative of a strong positive correlation.3. **Graph C**: Shows little to no discernible pattern, indicating a weak or no correlation.4. **Graph D**: Displays an inverse pattern, suggesting a negative correlation.**Task:**Calculate the linear correlation coefficient \( r \) and round the answer to three decimal places. Enter your calculated value in the provided answer box for validation.**Note:**Understanding the relationship between physical attributes is crucial in biological studies. This exercise will enhance your skills in statistical analysis and inference development in real-world scenarios.

Given : x y 7.1 112 7.5 178 9.6 238 9.4 205 8.8 204 8.2 188 Hence, Option B

Below aré the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values ofr using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 112 75 9.6 238 9.4 8.8 8.2 Weight 178 205 204 188 Click here to view a table of critical values for the correlation coefficient OA. O D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300 Aweight (ka 300 .. ..... 100 100 10 width (cm) width (om) widin em) The linear correlation coefficient is r= (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer

Below aré the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values ofr using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? Overhead Width 7.1 112 75 9.6 238 9.4 8.8 8.2 Weight 178 205 204 188 Click here to view a table of critical values for the correlation coefficient OA. O D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300 Aweight (ka 300 .. ..... 100 100 10 width (cm) width (om) widin em) The linear correlation coefficient is r= (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer

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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find the linear correlation coefficent and the critical value(s)
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