**Educational Analysis of Bear Weight and Chest Size Correlation**In a study involving fifty-four wild bears, the subjects were anesthetized, and their weights and chest sizes were recorded. This data is used to determine if there's a linear correlation between the weight of the bears and their chest size. Additionally, we explore whether it's more efficient to measure chest size over weight for predicting the bear’s weight. The significance level for this evaluation is set at α = 0.05.**Determine the Null and Alternative Hypotheses**- Null Hypothesis (H₀): ρ = 0- Alternative Hypothesis (H₁): ρ ≠ 0**Correlation Results**- **Correlation Coefficient (r):** 0.969325- **Critical r:** ±0.2680855- **P-value (two-tailed):** 0.000**Analysis Steps:**1. **Identify the Correlation Coefficient:** The correlation coefficient r is given as 0.969, indicating a strong positive linear relationship between the weights and chest sizes of the bears.2. **Identify the Critical Value(s):** The critical value is ±0.2680855, under the null hypothesis for a two-tailed test.3. **Statistical Significance:** With the p-value at 0.000, which is less than the significance level of 0.05, we reject the null hypothesis. This suggests that there is significant evidence to support a linear correlation between the bears' weights and chest sizes.4. **Practical Implication:** Given the strong correlation, chest size can be used as a reliable predictor for bear weight in this context. This can be particularly handy in field situations where measuring weight directly is more challenging than measuring chest size.This study underscores the importance of statistical analysis in wildlife research, facilitating better decision-making processes and resource management.

Given From above output Level of significance ɑ=0.05 , rcritical=±0.2680855

Answered: K Fifty-four wild bears were…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of α=0.05. Correlation Results Correlation coeff, r: 0.963947 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H0: ρ is: = 0 H1: ρ is: ≠ 0 Given all the information provided: Identify the correlation coefficient, r. r= _____ (round to three decimal places)
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Statistics Question
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a = 0.05 Question: Determine the null and alternative hypotheses
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Based on the scatter plot below on data from Central Harlem, would you estimate the correlation coefficient to be positive, negative, or close to 0? Select the correct correlation and corresponding explanation. Household Income vs. Serious Crime Rate (per 1,000 residents) CentralHarlem Data Scatter Plot: 22- 21- 20- 19- 18- 17 16- 15 32 34 36 38 40 42 Household_Income (thousands) Positive; As the household income increases, the serious crime rate decreases. A. Negative; As the household income increases, the serious crime rate decreases. B. Positive; As the household income increases, the serious crime rate also increases. OC. Negative; As the household income increases, the serious crime rate also increases. D. Close to 0; There is no linear correlation between household income and serious crime rate. E. A Moving to another question will save this response. Question 24 of 25 MacBook Air Serious crime_rate

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