Please help and show work on paper **Dotplot Analysis and Statistical Inference**The dotplot below is a bootstrap distribution of 3,000 bootstrap sample correlations from an original random sample of size \( n = 50 \).**Graph Explanation:**- The dotplot represents the distribution of correlation values.- The x-axis ranges from -0.6 to 0.8, showing correlation values.- The y-axis represents the frequency of each correlation value.- The center of the distribution (mean) is approximately 0.105.- The standard error (SE) of the distribution is 0.242, indicating the variability of the sample correlation values.- The plot shows a somewhat symmetric distribution around the mean.**Instructions:**(a) **Estimating Original Sample Correlation:**Use the dotplot to estimate the value of the original sample correlation by identifying the central tendency of the distribution.(b) **95% Confidence Interval:**Use the 95% rule and the standard error \( SE = 0.242 \) to calculate a 95% confidence interval for the population correlation. The 95% rule suggests that approximately 95% of the data falls within two standard errors of the mean.(c) **99% Confidence Interval (Percentile Method):**Use the percentile method to estimate a 99% confidence interval for the population correlation. Determine the number of dots to exclude from each tail of the distribution to achieve the desired confidence level.(d) **Relevance to Car Depreciation:**Suppose the relevant population correlation is between car depreciation and the new price of a car. If a 90% confidence interval for the population correlation is (-0.296, 0.489), discuss if it is plausible that there is no correlation between car depreciation and the new price, and provide reasoning for your conclusion.

(6) The dotplot below is a bootstrap distribution of 3,000 bootstrap sample correlations from an original random sample of size n = 50. Bootstrap Dotplot of cortion Two Tall Right Tall (a) (c) 60 50 (d) 40 30 20 10 Leh Tall -0.6 -0.4 -0.2 0.0 0.105 0.2 0.4 samples 1000 men-0.105 sd error-8.242 0.6 0.8 (b) Use the 95% rule and the standard error SE=0.242 to give a 95% confidence interval for the population correlation. Use the dotplot to estimate the value of the original sample correlation. Use the percentile method to estimate a 99% confidence interval for the population correlation. Indicate the number of dots that you exclude from each tail. Suppose the relevant population correlation is the correlation between car depreciation and the new price of a car. If a 90% confidence interval for the population correlation is (-0.296, 0.489), is it plausible that there is no correlation between car depreciation and the new price of the car? Why or why not?

(6) The dotplot below is a bootstrap distribution of 3,000 bootstrap sample correlations from an original random sample of size n = 50. Bootstrap Dotplot of cortion Two Tall Right Tall (a) (c) 60 50 (d) 40 30 20 10 Leh Tall -0.6 -0.4 -0.2 0.0 0.105 0.2 0.4 samples 1000 men-0.105 sd error-8.242 0.6 0.8 (b) Use the 95% rule and the standard error SE=0.242 to give a 95% confidence interval for the population correlation. Use the dotplot to estimate the value of the original sample correlation. Use the percentile method to estimate a 99% confidence interval for the population correlation. Indicate the number of dots that you exclude from each tail. Suppose the relevant population correlation is the correlation between car depreciation and the new price of a car. If a 90% confidence interval for the population correlation is (-0.296, 0.489), is it plausible that there is no correlation between car depreciation and the new price of the car? Why or why not?

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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