### Overview:The task is to analyze the correlation between the overhead widths (in cm) and weights (in kg) of seals based on the given data. This involves constructing a scatterplot and calculating the linear correlation coefficient \( r \).### Data:- **Overhead Width (cm):** 7.1, 7.6, 9.9, 9.3, 8.8, 8.3- **Weight (kg):** 115, 196, 253, 197, 201, 189### Instructions:1. **Construct a Scatterplot:** - Two scatterplot options are given. Select the appropriate plot that accurately reflects the data points.2. **Calculate the Linear Correlation Coefficient (\( r \)):** - Use the provided data to compute the correlation coefficient and round it to three decimal places.### Graphs:- **Graph Options:** - **Graph A and Graph B**: Both graphs plot weight (kg) on the Y-axis and width (cm) on the X-axis, ranging from 100 to 300 kg and 7 to 10 cm, respectively. Data points are plotted in blue.### Critical Values Table:- A table of critical values for different sample sizes (\( n \)) and significance levels (\( \alpha \)) is presented. For example: - \( n = 6 \), \( \alpha = 0.05 \), the critical value is 0.811.### Analysis:- Compare the calculated \( r \) value with the critical values to determine if there is significant evidence of a linear correlation between overhead widths and weights of the seals.Click the provided link to view or download the "Table of Critical Values for the Correlation Coefficient" for reference in the analysis.

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Answered: Listed below are the overhead widths…

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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For a data set of chest sizes (distance around chest in inches) and weights (pounds) of seven anesthetized bears that were measured, the linear correlation coefficient is r = 0.715. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) Since the correlation coefficient r is in the right tail above the positive critical value, there is sufficient evidence to support the claim of a linear correlation. Table of Critical Values of r - X Number of Pairs of Data n Critical Value of r 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 Print Done ×
Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the line= correlation coefficient r, and find the P-value using a = 0.05, Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest imported lemons cause car fatalities? Lemon Imports Crash Fatality Rate 228 15.9 265 357 483 531 15.6 15.4 15.2 14.9 200 400 600 200 400 600 200 400 600 200 400 600 The linear correlation coefficient is r= (Round to three decimal places as needed.) The test statistic is t= (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value is than the significance level 0.05, there sufficient evidence to support the claim that there is a linear correlation between lemon imports and crash fatality rates for a
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Listed below are 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 7.2 7.6 9.6 9.3 8.7 8.1 Weight 118 189 242 199 199 184
The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use a = 0.05. Weight, x Variability in braking distance, y 5980 5370 6500 5100 5820 4800 1.72 1.97 1.87 1.63 1.64 1.50 Click here to view a table of critical values for Student's t-distribution. Setup the hypothesis for the test. Ho: Ha: P Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) O A. The critical value is. B. The critical values are - to and to %3D Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There enough evidence at the 5% level of significance to conclude that there a significant linear correlation between vehicle weight and…
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Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a =0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities? 228 Lemon Imports Crash Fatality Rate 266 358 484 531 15.8 15.7 15.5 15.2 14.8 O C. Ho: p=0 YD. Ho: p=0 H,:p>0 H1: p#0 Construct a scatterplot. Choose the correct graph below. O A. В. Oc. C. OD. Ay 17- Ay 174 Ay 17- Ay 17- 16- 16- 16- 16- 15- 15- 15- 15- 14- 14- 14+ 14- -> 600 -> 200 400 600 200 400 600 200 400 200 400 600 The linear correlation coefficient is r= -0.971. (Round to three decimal places as needed.) The test statistic is t= - 7.036 . (Round to three decimal places as needed.) The P-value is (Round to three decimal…
Listed below are 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 of r using a = 0.01. 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 7.2 7.6 176 9.8 9.2 8.8 8.3 192 Weight 115 249 195 200 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. O A. B. OC. O D. Aweight (kg) 300- Aweight (kg) 300- Aweight (kg) 300- A weight (kg) 300- + --- - Hele t e tot 100+ 100 100- 1 100+ 10 width (cm) 10 10 7 10 width (om) width (cm) width (cm) The linear correlation coefficient is r=. %3D (Round to three decimal places as needed.) C||||
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what are the critical values r =?
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