### Educational Resource on Scatterplots and Correlation#### Dataset InformationListed below are the overhead widths (in cm) of seals measured from photographs and their corresponding weights (in kg). The goal is to construct a scatterplot and identify the linear correlation coefficient \( r \). We're determining if there is significant evidence to conclude a linear correlation between the overhead widths of seals and their weights, with a significance level \( \alpha = 0.01 \).| Overhead Width (cm) | Weight (kg) ||---------------------|-------------|| 7.1 | 115 || 7.7 | 206 || 9.6 | 240 || 9.4 | 204 || 8.6 | 192 || 8.2 | 184 |Click [here](#) to view a table of critical values for the correlation coefficient.#### Scatterplot ConstructionSelect the correct scatterplot from the options provided:- **Option A:** Incorrect plot selection.- **Option B:** Incorrect plot selection.- **Option C:** Correct plot with accurate alignment of data points.- **Option D:** Incorrect plot selection.#### Instructions- Analyze the data points in the scatterplot to determine the level of correlation.- The linear correlation coefficient is denoted by \( r \).**The linear correlation coefficient is \( r = \).** (Round to three decimal places as needed.)This exercise involves understanding the relationship between two continuous variables using graphical representation and statistical analysis. Recognizing the correct scatterplot is key to interpreting the potential correlation between the variables.

Given the data:x = 7.1, 7.7, 9.6, 9.4, 8.6, 8.2y = 115, 206, 240, 204, 192, 184Total number of observations [n] = 6Final answer The correlation [r] = 0.805

Answered: Listed below are the overhead widths…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The data found below measure the amounts of greenhouse gas emissions from three types of vehicles. The measurements are in tons per year, expressed as CO2 equivalents. Use a 0.025 significance level to test the claim that the different types of vehicle have the same mean amount of greenhouse gas emissions. Based on the results, does the type of vehicle appear to affect the amount of greenhouse gas emissions? : Click the icon to view the data. What are the hypotheses for this test? Data Table O A. Ho: H1 = H2 =H3 H: At least one of the means is different from the others. Туре с O B. Ho: H1 # H2 * H3 Туре А 6.2 Type B 8.2 7.7 Hyi Hy = H2 =H3 5.8 7.3 7.6 6.2 8.4 8.8 OC. Ho: H1 = H2 = H3 H: H1 # H2 #H3 5.7 7.8 8.8 6.9 8.8 9.3 6.1 7.7 8.1 O D. Ho: At least one of the means is different from the others. 7.9 5.7 7.3 5.9 7.3 7.8 H: H1 =H2 = H3 5.6 8.1 5.6 Determine the test statistic. F = (Round to two decimal places as needed.) Print Done Identify the P-value. Click to select your answer(s).…
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A random sample of college students was surveyed about how they spend their time each week. The scatterplot below displays the relationship between the number of hours each student typically works per week at a part- or full-time job and the number of hours of television each student typically watches per week. The correlation between these variables is r = –0.63, and the equation we would use to predict hours spent watching TV based on hours spent working is as follows: Predicted hours spent watching TV = 17.21 – 0.23(hours spent working) Since we are using hours spent working to help us predict hours spent watching TV, we’d call hours spent working a(n) __________________ variable and hours spent watching TV a(n) __________________ variable. The correlation coefficient, along with what we see in the scatterplot, tells us that the relationship between the variables has a direction that is _________________ and a strength that is ______________________. According to the…
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Consider the following scatter and residual plots: Discuss whether the scatter data are appropriately represented with a linear model. Include in your answer comments relating to the level of correlation between the two variables. Edit View Insert Format Tools Table 12pt Paragraph BI UAV T²:
Please answer the question on the screenshot:
Which scatter plot shown has a correlation coefficient, r, closest to 0?
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