14) For the data below, determine the value of the linear correlation coefficient r between y and x. 14x 1.22.7 4.46.69.5y 1.6 4.7 9.9 24.5 39.0A) 0.913B) 0.985C) 0.990D) 0.873

The following table is used to calculate the linear correlation between y and x2, x2 is denoted as x…

Answered: 14) For the data below, determine the…

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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Perform rank correlation analysis on the following data set: x y -5 1.9 -4 0.9 -3.25 0.7 -2.55 -0.5 -1.85 -1.2 -0.9 -1.7 5.5511151231258E-17 0.7 0.8 1.5 1.55 1.6 2.35 -0.1 3.3 0.8 4.1 -1.1 5.1 -0.9 5.8 -0.8 6.7 0.7 What is the rank correlation coefficient? (Round to three decimal places.) What is the critical rho value at a 0.01 significance? Do we have correlation? Yes, the rank correlation coefficient is smaller (in absolute value) than the critical rho value. No, the rank correlation coefficient is larger (in absolute value) than the critical rho value. No, the rank correlation coefficient is smaller (in absolute value) than the critical rho value. Yes, the rank correlation coefficient is larger (in absolute value) than the critical rho value.
Match the following values of the correlation coefficients with the proper scatter plots below.
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
Which of the following correlation coefficients might lead a researcher to conclude that there is a weak, but significant, negative linear relation between variables X and Y? a. r=0.99 b. r=0.30 c. r=0 d. r=-0.30 c. r=-0.99
4. Consider the following data: XINMASSN 1 2 3 4 5 6 7 y 6 7 5 4 3 1 2 a) Make a scatterplot of these data. The variable labeled "x" should be plotted along the x-axis. Describe the pattern. b) Find the correlation coefficient for these data.
A local store kept track of the number of advertisements it placed in local newspapers and the number of stereo systems it sold each week. Week 1 2 3 4 5 6 7 8 Advertisements, x 7 5 4 2 8 5 5 3 Stereos Sold, y 23 15 12 8 2 7 9 6 a) Create a scatter plot for the data showing Advertisements Vs. Stereos Sold. b) Determine the value of r, the correlation coefficient for the set of data and classify the type of correlation. c) What does this correlation coefficient suggest about the effectiveness of the advertisements? Explain
Based on the data shown below, calculate the correlation coefficient (to three decimal places) X y 87 82.8 7 87.8 8 88.6 9. 86.6 10 91.8 11 91.8 12 88.4 Question Help: DVideo MMessage instructor Submit Question 目 Chp -> Co & 5 7 60 96 4
x y 10 8.04 8 6.95 13 7.58 9 8.81 11 8.33 14 9.96 6 7.23 4 4.26 12 10.84 6) The value of the correlation coefficient is: A) 0.633 B) 0.795 C) 1.266 D) -0.633
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. (b) Would you say the correlation is low, moderate, or strong? positive or negative? a) moderate and positiveb) low and negative c) strong and positived) strong and negativee) low and positivef) moderate and negative As x increases, does the value of r imply that y should tend to increase or decrease? Explain. a) Given our value of r, y should tend to decrease as x increases.b) Given our value of r, y should tend to remain constant as x increases. c) Given our value of r, y should tend to increase as x increases.d) Given our value of r, we cannot draw any conclusions for the behavior of y as x increases.
The scatter plot above displays data on the number of defects per 100 cars and a measure of customer satisfaction (on a scale from 1 to 1000, with the highest scores indicating greater satisfaction) for the 33 brands of cars sold in the United States in 2009. Which of the following is the value of the correlation coefficient for this data set? A) r = -0.95 B) r = -0.24 C) r = 0.83 D) r = 1.00

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14) For the data below, determine the value of the linear correlation coefficient r between y and x. 14 x 1.2 2.7 4.4 6.6 9.5 y 1.6 4.7 9.9 24.5 39.0 A) 0.913 B) 0.985 C) 0.990 D) 0.873