The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d)CommuteTime (inminutes) Well-Being Scorebelow.Critical ValuesClick the icon to view the critical values for the correlation coefficient.769.81368.52467.6Critical Values for Correlation Coefficient3767.34966.2n7165.930.9979863.440.9500.878.....(a) Which variable is likely the explanatory variable and which is the response variable?0.81170.754O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.8.0.707B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.9.0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.(b) Draw a scatter diagram of the data. Which of the following represents the data?A.В.OC.D.70-70-70-110-60-0+60Commute Time (min)60-60-110110Commute Time (min)11070Commute Time (min)Commute Time (min)(c) Determine the linear correlation coefficient between commute time and well-being score.r =(Round to three decimal places as needed.)(d) Does a linear relation exist between the commute time and well-being index score?A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value.B. No, there is no linear association since r is positive and is less than the critical value.C. Yes, there appears to be a positive linear association because r is positive and is less than the critical value.PrintDoneD. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value.ScoreScore.....ScoreScore

Answered: Image /qna-images/answer/945b726c-62ef-43c4-8b31-85a853bfd4b1.jpg

survey compa ugn (a) ommute Time (in minutes) Well-Being Score elow Critical Values O Click the icon to view the critical values for the correlation coefficient. 69.8 13 68.5 24 67.6 Critical Values for 37 67.3 49 66.2 65.9 63.4 71 98 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time afects the wel-being score. OD. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. b) Draw a scatter diagram of the data. Which of the following represents the data? OB. Oc. OD. 110 Commute Time Commute Tie i Commute Time min Commute Time min c) Determine the linear corelation coefficient between commute time and well-being score. Round to three decimal places as needed.)

survey compa ugn (a) ommute Time (in minutes) Well-Being Score elow Critical Values O Click the icon to view the critical values for the correlation coefficient. 69.8 13 68.5 24 67.6 Critical Values for 37 67.3 49 66.2 65.9 63.4 71 98 a) Which variable is likely the explanatory variable and which is the response variable? OA. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time afects the wel-being score. OD. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. b) Draw a scatter diagram of the data. Which of the following represents the data? OB. Oc. OD. 110 Commute Time Commute Tie i Commute Time min Commute Time min c) Determine the linear corelation coefficient between commute time and well-being score. Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: IQ score (a) Display the data in a scatter plot. Choose the correct graph below. O A. Data Table…

A: Data given X: 63,59,64,67,58,63,65,55 Y: 107,100,103,112,93,109,116,127

Q: The linear correlation coefficient is r = (Round to three decimal places as needed.) Determine the…

A: Here dependent variable (y) = Height Independent variable (x) = Shoe print Sample size (n)=5Level of…

Q: A. Find the correlation coefficient for the quantitative variables then create a scatterplot for the…

A: A correlation table and a scatterplot are given.

Q: a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are:…

A: Given,the attendance at a major league ball game and the number of runs scored.To compute the…

Q: a) negative correlation b) positive correlation c) no correlation Determine the linear correlation…

A: 4. Identify the correct option to obtain the linear correlation coefficient. The correct option is…

Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: A researcher is interested in investigating whether the military branch a person signs up for and…

A: Given, OABABTotalArmy133534223251Navy96794127243Air…

Q: Your travel times (in minutes) throughout the week are 15,29,8,42,35,21,18,42,26 You weight 6…

A: Univariate is defined for a single variable while bivariate is defined for two variables.

Q: The scatterplot below shows? -weak positive correlation -strong positive correlation -weak…

A: The scatterplot is given.

Q: Calculate the correlation between the variables x and y. x 1, 2, 3, 4, 5, 6, 7, 8, 9 y…

A: We can find the correlation between x and y by using the following equation .

Q: . In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day…

A: Let be the fat consumption of a randomly selected male in US between the age of and .The…

Q: Fill in the blanks. a. A predictor variable is centered by subtracting the _____from each observed…

A: (a) The process of centering subtracts the observed values of the predictor variable from the mean…

Q: A hich school principal is interested in learning if hours studied and GPa earned related of a group…

A: Let x= Hours of studying and y=GPA

Q: The data shown below consists of the price (in dollars) of 7 events at a local venue and the number…

Q: Correct The following table compares the completion percentage and interception percentage of 5 NFL…

A: Let X = Completion PercentageY = Interception Percentage…

Q: Which of the following best describes correlation? Correlation measures how much a change in the…

A: Correlation: Correlation measures degree of which two variables move in relation to other.…

Q: Traffic headaches A study of traffic delays in 68 U.S.cities found the following relationship…

A: The data represents the relationship between the total delay of traffic in hours and main highway…

Q: How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y…

A: Solution a)Would you say that correlation is low, moderate or strong? Answer : strong b)Would you…

Q: The accompanying table lists the ages of acting award winners matched by the years in which the…

A: Given information: Significance level α=0.01 The data is given in the following table: Best…

Q: Select the correct answers from the choices below. One or more answers may be correct. The…

A: The correlation coefficients between the two variables x and y can be determined by the…

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of…

A: Note: As per our guidelines we are supposed to answer only 3 sub parts of any questions so I am…

Q: Compute the correlation coefficient. 7 8 9 10 108 102 113 116 153 149 46.143 0.779 0.883 0.117

Q: Statistics students believe that the mean score on a first statistics test is 65. The instructor…

A: Note:According to Bartleby Expert guidelines, we can answer only first three subparts of a question…

Q: Describe the range of values for the correlation coefficient. Question content area…

A: Step 1: Define the correlation coefficientThe correlation coefficient describes the the strength…

Q: Josh examines the relationship between eating vegetables and getting the flu. He discovers that…

A: The correlation shows the relationship b/w 2 variables.

Q: Under the Scatterplot write a comment " There appears to be a strong / moderate/ weak (choose one)…

A: Correlation coefficient is a measure that indicates the direction and strength of relationship…

Q: The accompanying table shows the ages (in years) of 11 children and the numbers of words in their…

A: Solution

Q: Hours Studied Test Score 1 78 0 75 3 90 1.5 89 2.75 1 97 85 0.5 81 2 80

A: Given:Enter the given data in to the Excel sheet XY1780753901.5892.75971850.581280

Q: Practice with correlation coefficients Using the table that appears below each pair of variables,…

Q: Q9 What is the correlation coefficient for these data? Use either the =correl(array1,array2) formul…

A: First I have enter the data in Ms-Excel

Q: Commute The data in the table to the right are based on the results of a survey comparing the…

A: It is a variable that has influence on the response variable. That is, the changes in explanatory…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d)
Commute
Time (in
minutes) Well-Being Score
below.
Critical Values
Click the icon to view the critical values for the correlation coefficient.
7
69.8
13
68.5
24
67.6
Critical Values for Correlation Coefficient
37
67.3
49
66.2
n
71
65.9
3
0.997
98
63.4
4
0.950
0.878
.....
(a) Which variable is likely the explanatory variable and which is the response variable?
0.811
7
0.754
O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score.
8.
0.707
B. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score.
9.
0.666
10 0.632
11 0.602
12 0.576
13 0.553
14 0.532
15 0.514
16 0.497
17 0.482
18 0.468
19 0.456
20 0.444
21 0.433
22 0.423
23 0.413
24 0.404
25 0.396
26 0.388
27 0.381
28 0.374
29 0.367
30 0.361
C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score.
D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time.
(b) Draw a scatter diagram of the data. Which of the following represents the data?
A.
В.
OC.
D.
70-
70-
70-
110-
60-
0+
60
Commute Time (min)
60-
60-
110
110
Commute Time (min)
110
70
Commute Time (min)
Commute Time (min)
(c) Determine the linear correlation coefficient between commute time and well-being score.
r =
(Round to three decimal places as needed.)
(d) Does a linear relation exist between the commute time and well-being index score?
A. Yes, there appears to be a negative linear association because r is negative and is less than the negative of the critical value.
B. No, there is no linear association since r is positive and is less than the critical value.
C. Yes, there appears to be a positive linear association because r is positive and is less than the critical value.
Print
Done
D. Yes, there appears to be a positive linear association because r is positive and is greater than the critical value.
Score
Score
.....
Score
Score

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Help
The coefficient of determination is simply the correlation 1 coefficient squared. is a measure of the "goodness" of fit. measures how much of the variation 3 in the response variable is explained by the explanatory variable. 4 all of the above
Spgo
compute the correlation coefficient. state the hypothesis summarize the results
Question Help The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.910. Remove the data entry for the man who is 51 years old and has a systolic blood pressure of 200 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r going from 0.910 to Data Table (Round to three decimal places as needed.) Age, x Systolic blood pressure, y 110 16 121 26 39 144 130 45 200 51 183 63 Loc 69 199 Bro 130 32 175 58 24 118 Print Done Enter your answer in the answer box. AdChoices PAGCS DEC O étv 13 MacBook Pro DD DII F6 F9 F2 F10 F12 F3 F8 F11 F5 F7 F1 F4 %23 $4 4 & 5. 9. 6. 8 0 utitam
Using the given data to answer the below. Data Set x y 2.2 3.9 3.9 1.5 2.9 3.7 4.6 4.9 the additional data point (10.5, 9.2) Compute the linear correlation coefficient with the additional data point the linear correlation coefficient for the five pieces of data is 0.866 Explain why correlations should always be reported with scatter diagrams. Choose correct answer below. a) the scatter diagram is needed to see if the correlation coefficient is being affected by the presence of outliers. b) the scatter diagram can be used to distinguish between association and causation. c) the scatter diagram is needed to determine if the correlation is positive or negative.
Please help I need in an hour Thankyou so much
Practice with correlation coefficients Using the table that appears below each pair of variables, please state the direction and strength (using Cohen’s rules of thumb) of each correlation coefficient, r. Assume all coefficients are statistically significant at p < .05. Then, interpret the correlation. Please describe the pattern, conceptually, without using the word “correlated” in your description. 3. Self-focus, charitable donations: r = -.28Direction & strength: _________________________________________________Interpretation: ________________________________________________________Can you infer causality? Explain. _______________________________________ 4. Stress, physical symptoms: r = .44Direction & strength: ____________________________________________________Interpretation: ___________________________________________________________Can you infer causality? Explain. _________________________________________
K The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. Click the icon to view the table of critical values of the correlation coefficient. C (a) which variable is likely the explanatory variable and which is the response variable? Commute Time (in minutes) 4 16 23 35 48 72 98 Well-Being Score 69.2 68.4 67.2 67.1 66.5 66.1 63.8 O A. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. OB. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. OC. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. O D. The explanatory variable is the well-being score and the response variable is commute time…
Which variable is most likely to be an independent variable? reading test score stress level running speed weight loss forms of therapy
Question The following dataset represents the number of times students have been late to their math class. 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 3, 0, 0, 2 Suppose that the last value, 2, was mistakenly recorded as 20. What measure(s) of the typical value in a dataset would be affected by this error? Select all that apply. Select all that apply:
E Question Help Use the given data set to complete parts (a) through (c) below. (Use a=0.05) 11 9.26 10 6. 14 8.11 8 6. 6.13 13 4 12 9.14 8.14 8.75 8.77 3.09 9.13 7.26 4.74 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. OA. O B. OC. O D. Ay 10- 本y 10- Ay 10- Ay 10 - 8- 8- 8- 8- 6- 6- 6- 6- 4- 4- 4- 4- 2- 2- 2- 2- 0- 4 0- 0- -> 0- 41 81 12 16 4 8. 12 16 8 12 16 4 8 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Click to select your answer(s). earch 0耳 a