Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up ofsample values drawn from a population.(EspyUV11+²10+1.0 7.311-10+ xH9+1.0 10.02.0 9.02.0 8.89+8+3.0 7.33.0 8.07+4.0 5.34.0 7.06+D5+5.0 8.05.0 6.04+6.0 5.26.0 5.03-7.0 4.57.0 4.01.8.0 7.28.0 3.00029.0 6.19.0 2.010.0 4.3 Figure 110.0 1.0 Figure 2W t11-10+m n10 7811101.0 3.49+2.0 4.22.0 4.73.0 10.13.0 3.44.0 5.0 6+4.0 5.85.0 1.95+5.0 4.64+60 5360 70ContinueMENH8+7+5+4+3XXXxType here to searchX6x8 9 10 11Xxx9-8 x64SH40Xx+++X89 9 10 11X X© 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center^ G -60°F Cloudy ^fy11A4prt scewsActivate WindoGo to Setar Submit AssignmentAccessibility12:18 PM405/2/2022en 10.0 7.5 Figure 310.0 6.6 Figure 4Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficibe the correct answer for more than one question.(a) Which data set has an apparent, positive, but not perfect, linear relationshipbetween its two variables?X(Choose one)▼(b) Which data set indicates the strongest negative linear relationship between itstwo variables?(Choose one) ▼(c) For which data set is the sample correlation coefficient closest to 0?(Choose one) ▼(d) For which data set is the sample correlation coefficient r equal to 1?(Choose one)ContinueⒸ2022 McGraw Hill LLC. All Rights Reserved.Terms of tisaHType here to searchi434 HAVEN60°F Cloudy

Correlation is the degree or extent of relationship between two variables.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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What is the Pearson's r correlation coefficient for a sample set of data with values (1,2), (2,3), (3,4), (4,5)?
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A group of university researchers wanted to determine the relationship that exists between the number of hours spent by a student in social media in a day (X) and their grade weighted average (Y). Twelve randomly selected students produced the following findings: Number of GWA Hours 4.0 95 8.0 85 87 89 91 85 89 86 84 96 82 85 7.0 6.5 5.5 9.0 4.0 10.0 7.5 2.0 12.0 9.0
Suppose a car's city miles per gallon rating can be determined by the car's weight. The means and standard deviations of these variables and the correlation coefficient between them are reported in the following table: What proportion of the variability in cars' miles per gallon ratings is explained by the least squares line with weight?
An ecologist is interested in exploring the relationship between pollination rate and the number of bees present at apple orchards. The relationship is: (Pollination rate) = 372.6 + 13.5 x (bees) with r = 0.80. The best interpretation of the correlation coefficient is: (pick one) 1. 64% of the variability in pollination rate observed at apple orchards is explained by the relationship with the number of bees 2. the correlation between pollination rate and number of bees is 0.64 3. 80% of the variability in number of bees at apple orchards is explained by the relationship with the pollination rate 4. the correlation between pollination rate and number of bees is 0.80
Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axis are the same for each scatter diagram. (a) r= 0.523, (b)r=1, (c) r=0.787 (a) Scatter diagram (b) Scatter diagram Explanatory (c) Scatter diagram II Explanatory .......... Explanatory Click to select your answer(s). 9ME acer
Example 3. Calculate Correlation Coefficient from the data given below by direct method i.e., without taking deviations of items from actual or assumed mean Roll No. of Students : Marks in Maths : Marks in Stat : 2 3 4. 48 35 17 23 47 45 20 40 25 45.
What is the Pearson's correlation coefficient for a sample of data with values (2, 3), (4, 5), (6, 7), (8, 9), and (10, 11)?
A personnel manager wants to find out if a test carried out during an employee’s interview and a skills assessment at the end of basis training is a guide to performance after working for the company for one year. The table below shows the results of the interview test of 10 employees and their performance after one year. Please provide the Pearson r correlation coefficient for the indicated data. How would you rate the correlation coefficient (strong, moderate, weak)? Employee A B C D E F G H I J Interview test, x % 65 71 79 77 85 78 85 90 81 62 Performance after one year, y % 65 74 82 64 87 78 61 65 79 69
For which of these research situations would you most likely calculate a Pearson's r correlation coefficient? independent variable = age; dependent variable = memory test score independent variable = type of car owned; dependent variable = money spent on gasoline per week independent variable = college major; dependent variable = GPA independent variable = city of residence; dependent variable = miles driven per week
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…
What are the limitations of using Pearson's correlation coefficient to measure the relationship between two variables?

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