2) Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of \( r \) given the number of pairs of data \( n \) and the significance level \( \alpha \).\( n = 12, \alpha = 0.01 \)A) \( r = 0.708 \) B) \( r = \pm 0.576 \) C) \( r = 0.735 \) D) \( r = \pm 0.708 \)

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Answered: 2) Suppose you will perform a test to…

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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A researcher at a large company has collected data on the beginning salary and current salary of 50 randomly selected employees. The correlation between the data sets is r = 0.912. The summary statistics from the data collected are shown bellow: Beginning Salary Ending Salary Mean x¯=56,340 y¯=82,070 Standard deviation Sx = 5,470 Sy = 7,800 Use a complete sentence to describe the strength and direction of the linear relationship between beginning salary and current salary. Find the equation of the least-squares regression line. (Round to two decimal places)
A random sample of 7 countries gave the following figures for X = annual per capita income and Y = urbanization rate (percentage of people living in urban area): Country X (US dollars) Y (%) 1 3500 20 2 2700 24 3 2100 16 4 2400 19 5 3000 26 6 2000 19 7 1900 17 Calculate the correlation coefficient for the sample. Explain the results At the 5% significant level, test whether per capita income and urbanization rate are unrelated.
will this be sufficient or is not sufficient evidence.
B). Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. C) Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. A. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope. B. The scatterplot does not reveal a distinct pattern. C. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. D. The scatterplot reveals a distinct pattern that is not a straight-line pattern. Clear
what are the critical values r =?
Life Expectancies Is there a relationship between the life expectancy for men and the life expectancy for women in a given country? A random sample of nonindustrialized countries was selected, and the life expectancy in years is listed for both men and women. Are the variables linearly related? Men 53.8 68.6 47.8 54.2 66.9 57.7 Women 47.4 72.7 48.3 44.6 77.0 58.1 Send data to Excel Part 1 of 5 Your Answer is correct (a) Draw the scatter plot for the variables. Life Expectancies Women y 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 x 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 0 Men Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places. r=?
What would you conclude if 8 pairs of data produce a linear correlation coefficient of r = – 0.608 if the significance level is 0.01. Must show critical value and decision before writing the conclusion.
You wish to determine if there is a 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 65 26 33 25 38 34 42 30 17 34 80 20 30 35 71 29 65 28 50 30 Но: р %3D 0 На: р 2 0 Find the Linear Correlation Coefficient r = Find the p-value p-value The p-value is O Less than (or equal to) a O Greater than a The p-value leads to a decision to O Reject Ho О Аcсеpt Ho O Do Not Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. O There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. O There is a significant negative linear correlation between driver age and number of driver deaths. O There is a significant positive…
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 0.69. Calculate the p-value for the test of significance.
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.
For a data set of brain volumes (cm3) and IQ scores of eleven males, the linear correlation coefficient is requals 0.883.Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.)

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