2. A Rural Bank is studying the relationship between the mean account balance for individualaccounts and the number of transactions per month. A sample of 8 accounts revealed:23467Customer 1MeanBalance (inthousandpesos)No. ofTransactions2711322505249553710216481510Find the coefficient of correlation. Determine at 0.01 significance level whether the correlation isnot equal to zero.

Consider mean balance as x and No. of transactions as y. Recall that, the coefficient of correlation…

Answered: 2. A Rural Bank is studying the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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 a = 0.05 Question: Determine the null and alternative hypotheses
The following is a table of the average monthly temperature of Raleigh, North Carolina and a scatterplot of the data, making month into a quantitative variable by designating Jan=1, Feb=2, . . ., Dec=12. calculate the correlation coefficient
Among a random sample of the stat's census deciles (a small geographic unit), there is a -0.90 correlation (p=.50) between school truancy rates and the rates of alcohol sales to minors. How would you characterize the relationship between truancy and alcohol sales to minors? A. We cannot be confident that there is a relationship between the two variables. B. We have evidence that there is a strong, positive correlation between the two variables. C. We have evidence that there is a strong, negative correlation between the two variables. D. We have evidence that there is a weak, positive correlation between the two variables. E. We have evidence that there is a weak, negative correlation between the two variables.
10. Describe the pattern of data that is observed when there is a strong negative correlation between X and Y.
determine whether suicide and homicide rates in metropolitan areas around the country are correlated. a sample of 10 metropolitan areas with their rates (number per 100,000), of suicide and homicide. computed the correlation coefficient of 0.70.
At the .05 significance level, does the data below show significant correlation? x y 3 12.87 4 13.66 5 17.95 6 23.44 7 15.93 8 13.62 9 27.91
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 Correlation Results 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 Correlation coeff, r: 0.959614 a measured chest size can be used to predict the weight? Use a significance level of = 0.05. Critical r: +0.2680855 P-value (two tailed): 0.000 Но: Р H1:P (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) O A. There is one critical value at r= . B. There are two critical values at r= ± Is there sufficient evidence to support the claim that there is a linear correlation between…
A data set contains information on the grams of fat and number of calories in 25 different fast foods. The correlation coefficient between fat content and calories is determined to be 0.62. Calculate the p-value for the test of significance.
What would you conclude if 17 pairs of data produce a linear correlation coefficient of r = 0.456 if the significance level is 0.05. Must show critical value and decision before writing the conclusion.
The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? Number of Years:7 9 6 7 11 12 11 3 3 7 9 1 Salary (in Dollars): 48,897 62,866 54,585 56,611 53,541 53,541 47,027 47,970 46,668 48,029 46,735 45,000
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: 0.955111 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H0: ρ less than< not equals≠ less than< greater than> equals= nothing H1: ρ

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