1. You have recorded the height and weight of 27 people. Suppose that your data meet the assumptions of correlation (data are normally distributed for both variables). You find that the Pearson correlation coefficient r= 0.4. Test whether height and weight are significantly correlated. Show your work. 1. What is the critical value for this test? 2. Write your complete finding with all statistical details.

1. You have recorded the height and weight of 27 people. Suppose that your data meet the assumptions of correlation (data are normally distributed for both variables). You find that the Pearson correlation coefficient r= 0.4. Test whether height and weight are significantly correlated. Show your work. 1. What is the critical value for this test? 2. Write your complete finding with all statistical details.

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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Statistics Question
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 66 20 75 32 44 31 44 36 19 23 65 29 61 22 58 25 71 27 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value =
The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient. ... Interpret the correlation. Choose the correct answer below. O A. Aging causes the number of words in children's vocabulary to increase. B. Based on the correlation, there does not appear to be any relationship between children's ages and the number of words in their vocabulary. O C. Based on the correlation, there does not appear to be a linear relationship between children's ages and the n O D. Aging causes the number of words in children's vocabulary to decrease. CE. As age increases, the number of words in children's vocabulary tends to increase. there is a significant linear correlation O F. As age increases, the number of words in children's vocabulary tends to decrease. there is no correlation (d) Use the…
You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 21 19 27 20 58 31 77 31 47 24 50 26 Ho: ρ = 0Ha: ρ > 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Reject Ho Accept Ho Do Not Reject Ho
You wish to determine if there is a negative linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 22 20 53 25 19 30 35 23 71 26 36 21 48 25 19 28 Ho: ρ = 0Ha: ρ < 0 Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is Greater than αα Less than (or equal to) αα The p-value leads to a decision to Accept Ho Do Not Reject Ho Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. There is a significant positive linear correlation between driver age and number of driver deaths.…
Listed below are the amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 31.65 53.83 87.10 103.64 60.34 109.80 Tip (dollars) 3.74 5.76 14.73 16.86 7.44 20.73 1. The linear correlation coefficient is r= 2. What are the null and alternative hypotheses? 3. The test statistic is t= 4. The P-Value is P=
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the accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Age, x Vocabulary size, y1 32 2603 5904 11005 19006 25003 7305 22002 2504 13006 2400 1. Calculate the sample correlation coefficient r. 2. Describe the type of correlation, if any, and interpret the correlation in the context of the data. 3. Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.
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