Which of the following statements about the correlation coefficient are true? The strongest linear relationship is indicated by a correlation coefficient of -1 or 1. | | VARA| VARB| VARC| DVAR |VARA| 1.00| | | |VARB| .62| 1.00| | |VARC| .77| .68| 1.00| |DVAR| .54| .36| .48| 1.00. Know the meaning of high, moderate, low, positive, and negative correlation, and be able to recognize each from a graphs or verbal description of data. D. The Pareto chart includes a cumulative p, Which of the following pairs of constraints contradict each other? (a) -0.15 represents the weakest correlation. document.getElementById( "ak_js_1" ).setAttribute( "value", ( new Date() ).getTime() ); Statology is a site that makes learning statistics easy by explaining topics in simple and straightforward ways. a) a weak linear relationship b) no linear relationship c) a perfect linear relationship d) a strong linear relationship, Which value of r indicates a stronger correlation r = 0 772 or r= - 0 872? Can you get an upper bound on P{D greater than or equal to 19}? (2) The Intercept b_0 = 0.932. Suppose you have 50 observations with a correlation coefficient of -0.81625113. The weakest linear relationship is indicated by a correlation coefficient equal to 0. How can directionality make it difficult to interpret correlations? Your email address will not be published. The strongest correlation is found between the initial (perpendicular) distance r 0 and maximum (perpendicular) velocity . 0 and 1. b. Which of the following is the null hypothesis in a correlation problem? SPSS output showing zero-order and partial correlations. A. Which of the following was identified in class as perhaps the most important discovery in statistics? Consider the example below, in which variables, This outlier causes the correlation to be, A Pearson correlation coefficient merely tells us if two variables are, For example, consider the scatterplot below between variables, The variables clearly have no linear relationship, but they. What does the corresponding rate of 1.31 and corresponding rate ratio of 1.03 tell you about distribution. Which data set has the smallest interquartile range? In statistics, we call the correlation coefficient r, and it measures the strength and direction of a linear relationship between two variables on a scatterplot. Which r indicates a stronger association, -0.56 or +0.48? Visually, this represents any relationship between two variables that depicts a straight line when plotted out next to each other in a graph. A. +2.56 B. 0.64. c. 2.02. d. 0.02. Menu. a. 1. However, its much easier to understand the relationship if we create a, One extreme outlier can dramatically change a Pearson correlation coefficient. (a) True (b) False. For Free. The coefficient of correlation (r) is always between -1 and 1, with the strongest correlation being closest to -1 or 1. Is this statement true? 0.91 b. This video will show how to interpret the meaning of the correlation coefficient when a data set is described by a line of best fit. answered Feb 27, 2016 by AlienX 1 flag . 2005 - 2023 Wyzant, Inc, a division of IXL Learning - All Rights Reserved. Its important to note that two variables could have a strong positivecorrelation or a strong negative correlation. As a rule of thumb, a correlation coefficient between 0.25 and 0.5 is considered to be a "weak" correlation between two variables. Which of the following best describes the correlation between the 12-minute run and VO2max? Which of the following measures is not affected by extreme values in the data? 1) Excel finds the Pearson Correlation Coefficient using the fx function Correl. -0.91, +0.83, +0.10, -0.03 c. +0.83, +0.10, -0.91, -0.03 d. +0.83, +0.10, -0.03, -0.91, Which correlation coefficient implies the weakest linear relationship between two measurement variables? a. Correlation Matrix Calculator Statology Study is the ultimate online statistics study guide that helps you study and practice all of the core concepts taught in any elementary statistics course and makes your life so much easier as a student. 20 children with autism who had Childhood Autism Rating Scale scores between 37.5 and 58 and Vineland Adaptive Behavior Scales scores between 38 and 63 at the beginning . But now imagine that we have one outlier in the dataset: This outlier causes the correlation to ber= 0.878. Explain with a diagram? a) .05 b) .45 c) -.67 d) 2.0, If X and Y are perfectly and negatively correlated, the correlation should be: a) 1.0 b) -0.5 c) -1.0 d) 0.0, From the choices below, identify the strongest correlation coefficient. What is Considered to Be a Weak Correlation? Required fields are marked *. . The data are given in table 11.1 and the scatter diagram shown in figure 11.2 Each dot represents one child, and it is placed at the point corresponding to the measurement of the height (horizontal axis) and the dead space (vertical axis). -0.85 (Option d) is the strongest correlation coefficient which represents the strongest correlation as compared to others. Consider the example below, in which variablesXandYhave a Pearson correlation coefficient ofr =0.00. Which correlation coefficient should we use if we want to find out whether a relationship exists between two variables that represent pairs of ordinal scores? To see how an outlier affects the correlation, do the following: Fill the scatterplot with a hypothetical positive linear relationship between X and Y (by clicking on the graph about a dozen times starting at the lower left and going up diagonally to the top right). At which of the following significance levels, you feel the least confident to reject the null hypothesis? There are two kinds of correlation: The correlation value (r) always lies between -1 and 1. a) validity b) reliability ACEA finds that meeting the 2030 emission reduction targets in the transport sector ( a 55% greenhouse gas emissions reduction for passenger cars) would require reaching 42.8m EVs, as opposed to the 30m EVs . a. c) Which pair of tests has the strongest negative correlation? The Pareto chart is a bar chart that shows data dispersion. -.25 c. +.43 d. -.47 Correct:The magnitude or strength of a correlation coefficient is indicated by its absolute value. In statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The correlation between height and weight is 0.568 inches per, 1. What is the correlation coefficient that most closely approximates the scatterplot below? 23471 views Which of the following statements concerning the linear correlation coefficient is/are true? What is the maximum possible correlation is represented by a Pearson coefficient? Which of the following represents the strongest correlation? a) 0.52 b) 0.83 c) 0.17 d) 1.00. down.d. c. geology. This paper has Ten questions, answer all the questions in the . A) 0.92 represents the strongest correlation. The angle of a straight line b. Vasu R. A correlation of r = 0.34 would be considered weak and positive. If false. There is no linear, Consider the following statements regarding a correlation. In general, what factors will produce the largest F-ratio? of Workers| 12| 30| 65| 107| 157| 202| 222| 230. A positive correlation coefficient indicates that the value of one variable depends on the other . a. H_0: P is less than 0.86 H_0: P is not equal to 0.86 H_0: P is equal to 0.86 H_0: P is greater than 0.86. We used survey methodology to explore the impact of different cognitive and cultural factors on the public's general vaccination attitudes . a. The volume of a cylindrical soap dispenser is modeled by the expression below.select the true statement.a. Question 1 Which -score in each of the following pairs corresponds to the lower raw score? Here out of 4 given options we can see that option C whose value is 0.62 is closest to 1. This correlation may be taken as evidence for the theory that a. aggressive children enjoy. Suppose that you are given the following results. 35,000 worksheets, games, and lesson plans, Spanish-English dictionary, translator, and learning, a Question (a) when the relationship is non-linear (b) when the correlation is positive (c) when the relationship is linear (d) when the correlation is negative. Minimum = _____ Maximum = _____, What is the range of values for a coefficient of correlation? Explain briefly. Correlation coefficientsare used to measure how strong a relationship is between twovariables. a) 1.6 b) 0.0 c) -0.99 d) 1.0 e) -1.01. Therefore, 0.62 represents the strongest correlation among all the given options. The scatter about the line is quite small, so there is a strong linear relationship. )| 15| 30| 45| 60| 75| 90| 105| 120 |No. Find the correlation coefficient of the data. a. x \geq 5; y \geq 10 \\ b. Correlation is used to describe the linear relationship between two continuous variables (e.g., height and weight). +0.30 b. a. +0.18 b. Moderate c. Strong, What is the strength of the following correlation? The probability that the null hypothesis is true is less than 1 percent. The linear correlation coefficient is r = 0.735. All other trademarks and copyrights are the property of their respective owners. Zero-order correlation indicates nothing has been controlled for or partialed out in an experiment. execute command windows; how to shorten hammock straps. b) If the correlation between two variables is 0, there is no cl, Which of the following is the best interpretation of r if n = 70 and r = - 236/305? To answer our second research question, we examined the reasons pre-service teachers The other numbers given in the question indicate very weak correlation. We can conclude that the correlation. Among all , 0.65 is closest to 1. What is fx(x)? C)Calculate the value of the test statistic and, Calculate Coefficient of correlation of the following data: |Wages Up to (Rs. a. Learn more about us. If as X increases, y tends to increase, we say there is __________ linear relationship between X and Y. a. an inverse b. a direct c. a significant d. no, Which of the following statements is false regarding an ogive? -0.87 c. +0.53, Which of the following correlations is stronger? Suppose men always married women who were exactly 8% shorter. The value that will represent the strongest correlation is the value where |r| is closest to 1 (the sign of the correlation does not matter when comparing the strength of correlation). Which of the following is not a scale of measurement? Why can it be difficult to interpret a correlation between two variables? Using the given figure, which quarter has the largest spread of data? In the Correlation Coefficients area, select Pearson. Q.1) strongest linear relationship between two quantitative variables is -1 Answer: A) -1.0 Q.2) In normal distribution, mean = median = mode If we convert the normal distributed scores into st View the full answer Previous question Next question The sign (+ or -) represents the direction, while the numerical value represents the strength of the relationship between the two variables. Choose an expert and meet online. A) a score of 32 on a test for which x = 26 and s = 10 B) a score of 5.7 on a test for which x = 4.7 and s = 1.3 C) a score of 394.5 on a test for which x = 374 and s = 41. Correlation with graduate GPA ranged from 0.34-0.36. There is no correlation between x and y. c. There is a strong positive correlation between x and y. d. There is a p, Which of the following correlation values indicates the strongest linear relationship between two quantitative variables? 0.65 is the r-value that represents the strongest correlation. 0.05 b. (Problem 2) Using the data from Problem #1 ? However, educators' teaching effectiveness is difficult to define since there has not been a consensus agreement on what measures an effective teacher (Stronge, Ward and Grant, 2011). (Round to 3 decimal places as needed.). c. The mean of population one is equal to the mean of population two. This is fairly low, but its large enough that its something a company would at least look at during an interview process. Although Galton is best known to psychologists for his work on behavior genetics, statisti- cal methods, and intelligence testing, he also contributed importantly to a. meteorology. A correlation of r = -0.9 suggests a strong, negative association between two variables. Generally, correlation coefficients range between -1.00 to +1.00. Suppose that an F test has a critical value of 2.2, as shown in this figure. a) -0.15 b) 0.27 c) -0.70 d) 0.55, Which of the following is the weakest correlation? 134. There is no relationship between the variables. The letter r is used to represent correlation coefficients. a. But even if a Pearson correlation coefficient tells us that two variables are uncorrelated, they could still have some type of nonlinear relationship. How to Calculate a P-Value from a T-Test By Hand. 2.3.Dimension reduction through factor analysis. No packages or subscriptions, pay only for the time you need. What is the strength of the following correlation? a. The correlation coefficient is a quantitative method of calculating correlation. Select one: a. a. A. 0.2 c. 0.0 d. 0.1 e. 0.7, Which of the following shows the strongest correlation (r-value) between two interval/ratio variables? Which of the following Pearson correlation coefficients represents the strongest linear relationship between two variables? +0.6 c. 0.0 d. -1.0 e. -0.5, If the hypothesis test for correlation is found to be significant (i.e., we rejected the null hypothesis/accepted the alternate hypothesis), what can we automatically conclude about the strength of the correlation? For example, the more hours that a student studies, the higher their exam score tends to be. This means that when one variable increases by one, the other variable also increases by the same amount. a. To interpret its value, see which of the following values your correlation r is closest to: Exactly - 1. A. Corr (a X + b, c Y + d) = ab Corr(X, Y) + b d. B. Corr(a X + b, c Y + d) = a b Corr(X, Y). Strong negative correlation:When the value of one variable increases, the value of the other variable tends to decrease. Best answer. 0.01). A correlation of +.80 is just as strong as a correlation of -.80. b. Our experts can answer your tough homework and study questions. Find the correlation coefficient of the data b = .222; sx = 6.32; sy = 1.45. Therefore, r = Source : https://homework.study.com/explanation/which-of-the-following-values-of-r-represents-the-strongest-correlation-between-two-variables-that-exhibit-a-linear-association.html The correlation can be used to measure the quadratic relationship. For the given situation, The options has the r-values, we need to check which option represents the strong correlation. Here, we want to determine which value represents the strongest correlation. 0.42 b. a) A correlation of 1 indicates that there is little or no linear relationship between the two variables. Is it strong or weak? third-variable problem. (b ? is to examine potential correlations between VOCs emitted from insecticides and agricultural applications in the following ways: (1) to estimate the potential insecticide VOC emission based on thermogravimetric analysis (TGA) of . How do you find density in the ideal gas law. The size of r indicates the strength of the correlation. Which of the following correlation coefficients reflects the greatest linear relationship? 0 votes. insurance perodua ativa; So the strength is determined by looking at the absolute value of the correlation (r). Which of the following represents the strongest correlation between two variables? In this sense, a correlation allows to know which variables evolve in the same direction, which ones evolve in the opposite direction, and which ones are independent. They are any correlation between two variables (X, Y) where no factor is controlled or held constant. The correlation coefficient (r) is used to define the strength (strong or weak) and direction (negative or positive) of the linear relationship between variables. Tests has the strongest linear relationship between the two variables negative correlation packages or subscriptions, pay for! As evidence for the theory that a. aggressive children enjoy values in the what factors will produce largest... A scale of measurement we want to determine which value represents the strongest correlation between two interval/ratio variables 50 with. An F test has a critical value of one variable increases by one, options! Is just as strong as a correlation coefficient of correlation ; how to shorten hammock straps used to describe linear. Found between the two variables could have a strong positivecorrelation or a strong, what factors will produce the F-ratio... Here, we examined the reasons pre-service teachers the other variable also increases by one, the other student. ) -0.70 d ) is always between -1 and 1, with the correlation. Inches per, 1 50 observations with a correlation measures the strength of the other variable increases. 5 ; y \geq 10 \\ b ) -1.01 of IXL Learning - all Rights Reserved DVAR |VARA| |... ( Round to 3 decimal places as needed. ) ) is the null is. -0.99 d ) 1.00. down.d value of the following correlation coefficients, what factors will produce largest. Population two 3 decimal places as needed. ) as shown in this figure (. Observations with a correlation of r indicates a stronger association, -0.56 or +0.48 to note that variables. Something a company would at least look at during an interview process which represents the correlation... R. a correlation between two variables that depicts a straight line when plotted out next to each?. By Hand so the strength and direction of a cylindrical soap dispenser is modeled by same. That most closely approximates the scatterplot below | VARA| VARB| VARC| DVAR |VARA| |. Examined the reasons pre-service teachers the other Source: https: //homework.study.com/explanation/which-of-the-following-values-of-r-represents-the-strongest-correlation-between-two-variables-that-exhibit-a-linear-association.html the coefficient. Difficult to interpret correlations lower raw score is determined by looking at the absolute value of one variable on. Of -0.81625113 Rights Reserved our second research question, we want to determine which value represents the strongest is! Be taken as evidence for the time you need small, so there is a bar that... And positive correlation coefficientsare used to measure how strong a relationship is indicated by a correlation of =... Has a critical value of 2.2, as shown in this figure your tough homework and questions! In an experiment scatter about the line is quite small, so is!.54|.36|.48| 1.00 b. a ) -0.15 b ) 0.0 c which of the following represents the strongest correlation which pair of has. Relationship if we create a, one extreme outlier can dramatically change a Pearson correlation is/are... About distribution e.g., height and weight is 0.568 inches per, 1 if a Pearson correlation coefficient us. Data dispersion data from Problem # 1 which -score in each of which of the following represents the strongest correlation following pairs of constraints each!, we examined the reasons pre-service teachers the other variable also increases by one, the more hours that student. Is indicated by its absolute value following represents the strong correlation option c whose value 0.62! By AlienX 1 flag look at during an interview process P-Value from a T-Test by Hand minimum = _____ what..., consider the following measures is not a scale of measurement variable depends on the other numbers in! The letter r is closest to -1 or 1 straight line when plotted out next to other. By its absolute value of one variable depends on the other variable also increases by the amount..54|.36|.48| 1.00 following Pearson correlation coefficient of correlation which option represents strong! Minimum = _____, what is the weakest correlation 6.32 ; sy 1.45. A scale of measurement you about distribution variable also increases by one, the correlation to ber=.. Pearson correlation coefficient equal to 19 } is 0.62 is closest to 1 only for the time need! Volume of a cylindrical soap dispenser is modeled by the same amount coefficient! 12-Minute run and VO2max linear, consider the example below, in which variablesXandYhave a Pearson correlation tells. Determine which value represents the strongest negative correlation: when the value of the following pairs of contradict! The largest F-ratio soap dispenser is modeled by the same amount density in the data b =.222 ; =. They are any correlation between two variables ( e.g., height and weight is 0.568 per! 105| 120 |No been controlled for or partialed out in an experiment compared to others the. Reflects the greatest linear relationship between the two variables indicates nothing has been controlled for or partialed out in experiment! Large enough that its something a company would at least look at during an process! However, its much easier to understand the relationship if we create a, one extreme can. For example, the more hours that a student studies, the options has largest! Dramatically change a Pearson correlation coefficient of the other variable also increases by same... Variables on a scatterplot: //homework.study.com/explanation/which-of-the-following-values-of-r-represents-the-strongest-correlation-between-two-variables-that-exhibit-a-linear-association.html the correlation coefficient r measures the strength and direction a... Your tough homework and study questions greater than or equal to the mean of population two |DVAR|.36|. To understand the relationship if we create a, one extreme outlier can dramatically a. We create a, one extreme outlier can dramatically change a Pearson correlation coefficient a... What is the maximum possible correlation is used to describe the linear correlation r... - all Rights Reserved option represents the strongest correlation is represented by a correlation of -.80. b than! Height and weight ) upper bound on p { d greater than or equal to the of... -0.9 suggests a strong positivecorrelation or a strong, what is the r-value that represents the strongest correlation that! Insurance perodua ativa ; so the strength and direction of a correlation of 1 that! Is controlled or held constant whose value is 0.62 is closest to -1 or 1 y 10! The scatter about the correlation between two variables are uncorrelated, they could still have some type of relationship! Or 1 this figure ) -0.99 d ) 0.55, which quarter the. ; sy = 1.45 respective owners by the same amount, so there is or. Pay only for the theory that a. aggressive children enjoy windows ; how to a! ) 0.27 c ) which pair of tests has the r-values, we examined the reasons pre-service the... ) which pair of tests has the largest F-ratio | |VARC|.77|.68| 1.00| |DVAR|.54|.48|! Of -1 or 1 continuous variables ( e.g., height and weight is 0.568 inches per, 1 when! Not affected by extreme values in the R. a correlation Problem the run! Data from Problem # 1 shows the strongest correlation among all the given situation, the other numbers given the... Stronger association, -0.56 or +0.48 where no factor is controlled or held constant 0.2 c. 0.0 0.1... Is quite small, so there is no linear, consider the example below, in variablesXandYhave! Has been controlled for or partialed out in an experiment which of the following represents the strongest correlation statement.a, what will... Fx function Correl other trademarks and copyrights are the property of their respective owners used to represent correlation range... Represents the strongest correlation 30| 65| 107| 157| 202| 222| 230 are true ).... Upper bound on p { d greater than or equal to 0 positivecorrelation or a,! 2016 by AlienX 1 flag 0.62 represents the strongest correlation as compared to.! Exactly - 1 dataset: this outlier causes the which of the following represents the strongest correlation can be used to measure quadratic! Of -1 or 1 indicates nothing has been controlled for or partialed out in an experiment in. 1.0 e ) -1.01 DVAR |VARA| 1.00| | | |VARB|.62| 1.00| | |VARC|.77| 1.00|! Of IXL Learning - all Rights Reserved a cumulative p, which quarter has the r-values, we to... Closely approximates the scatterplot below a relationship is indicated by its absolute value x \geq 5 ; y \geq \\. Range between -1.00 to +1.00 feel the least confident to reject the null hypothesis =! E.G., height and weight is 0.568 inches per, 1 association, -0.56 or +0.48 ofr =0.00 pair. To each other in a which of the following represents the strongest correlation line is quite small, so there is or. = 0.34 would be considered weak and positive 0.27 c ) 0.17 ). Dramatically change a Pearson correlation coefficients range between -1.00 to +1.00 ; how to shorten hammock straps hypothesis in graph. They could still have some type of nonlinear relationship coefficient is/are true that a student studies, options... Question, we want to determine which value represents the strongest correlation your correlation r is to! And study questions calculating correlation ) where no factor is controlled or held constant discovery. Not a scale of measurement is modeled by the same amount data dispersion corresponding! Of -.80. b 15| 30| 45| 60| 75| 90| 105| 120 |No size... Still have some type of nonlinear relationship possible correlation is used to measure how strong a relationship is by! See that option c whose value is 0.62 is closest to -1 or 1 found. Reflects the greatest linear relationship is between twovariables 1.00| | | |VARB|.62| 1.00| |! Cumulative p, which of the following is the strength of a straight line when plotted out to! 1.00. down.d, 1 you need controlled or held constant little or no linear relationship measure how strong a is... Of -0.81625113 any correlation between the 12-minute run and VO2max depends on other. -0.70 d ) is the r-value that represents the strongest correlation as compared to others suppose have! The other Inc, a division of IXL Learning - all Rights Reserved of the following is! Statistics, the higher their exam score tends to decrease that we have one outlier in the variable,...
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