What is the likelihood of the linear correlation between X and Y that you computed in a distribution where the linear relationship is zero if X = {2,1,2,1,4,3,3,3,3,3} and Y = {1,3,4,3,1,4,2,2,1,1}? Express your answer as a percentage, rounding it off to the nearest whole number.

Q: A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of…

A: The value of r would not change.

Q: The table below shows the number of absences, x, in a Statistics course and the final exam grade, y,…

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: GivenX represent the number of heads in first toss.So X can take values {0,1} Y represents the…

Q: A student calculates the value of r as +0.72 for a question comprising 5 pairs of observations and…

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Q: Suppose that, at the end of last semester, Marie gave her introductory statistics class a final…

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Q: Choose the most appropriate completion of the sentence. In order to indicate a strong correlation…

A: Correlation is defined as the linear relationship between the two variables. The range of the…

Q: The first three moments of a distribution about the value 2 are 1, 16 and-40 show that the mean is…

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Q: A set of n = 5 pairs of X and Y scores produces a Pearson correlation of r = -0.10. The X values…

A: Given: n=5 (X values vary from 0 to 5 and Y values varies from 2 to ) r=-0.10

Q: The covariance between the returns of A and b is -0.112. The standard deviation of the rates of…

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Q: b) Compute the Correlation Coefficient for your line from (a). c) Using your answer to (b), Is there…

A: 2) a) The slope is, b=n∑xy-∑x∑yn∑x2-∑x2=5×33974-409×4135×33643-4092=953934=1.020343≈1.0203 The…

Q: A coefficient of correlation of -1 means that there is no linear correlation between two variables.…

A: According to the given information, we have Correlation coefficient, r = -1

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A: Given query is to estimate the correlation of the scatter plot.

Q: The population data has a correlation of .60. What is the probability that you will get a sample…

A: Introduction: Suppose r is the sample correlation coefficient between two variables, based on a…

Q: A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and…

A: It is an important part of statistics . It is widely used .

Q: When can a correlation coefficient based on an observational study be used to support a claim of…

A: When can a correlation coefficient based on an observational study be used to support a claim of…

Q: Peter analyzed a set of data with explanatory and response variables x and y . He concluded the mean…

A: Slope: The following is the formula for slope coefficient                                   b=r·sysx…

Q: The correlation coefficient always moves between 0 and 1. True or False.

A: The correlation coefficient can be negative, zero or positive.

Q: A set of n=4 of X and Y scores produces a Pearson correlation of r=0.20.The x values vary from…

A: Given that A set of n=4 of X and Y scores produces a Pearson correlation of r=0.20.The x values vary…

Q: Find the coefficient of correlation between X + Y and X-Y.

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Q: What are some of the possible reasons for large correlations between a pair of variables, X and Y?

A: Correlation is defined as a measure of the linear relationship between two quantitative variables.

Q: If there is a strong negative linear correlation between the amount of money in the bank and the…

A: A strong negative correlation is when one of two variables increases in value while the other…

Q: Suppose the correlation, r, between two variables x and y is -0.44. What would you predict about a y…

A: The correlation, r between two variables x and y is provided as – 0.44. Since, the regression line…

Q: In your own words, what does it mean to have a non-linear correlation?

A: Solution: First we need to know about the non-linear relationship. It is also a type of relationship…

Q: The standard deviation of return on investment A is 19%, while the standard deviation of return on…

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Q: A Pearson correlation of r= -1.00 means that all the data points fit perfectly on a straight line.…

A: A negative correlation means that high values of one variable are associated with low values of the…

Q: Here is a scatter plot for two variables from a set of data. 8. 8,9 What would you estimate the…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Given correlation coefficient is 0.75, the percentage of explained variation is less than the…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: The correlation between years of Training and income in a sample of 20 people from a certain company…

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Q: Assume that the correlation coefficient between the scores of a pre- and post- assessment that you…

A: 1. Correlation: A statistical method that is applied between the pairs of variables to check how the…

Q: Suppose the correlation, r, between two variables x and y is –0.44. What percentage of the…

A: From the given information,Correlation coefficient = -0.44,Coefficient of correlation is the linear…

Q: What would be the correlation between the annual salaries of males and females at a company if for a…

A: since, man always made $5000 more than women, so if we increase or decrease men salary by x amount,…

Q: The proportion of a in the tail of a gold distribution can be never be more than .50 true or false

A: We have to find given statement is true or false

Q: The mean age of children at the X College daycare center is 6. The ages are skewed in a negative…

A: μ=6 σ2= 5.1

Q: What is the coefficient of correlation given this data: X = 51, 42, 34, 10, -1 Y = 59, 30, 24, 19,…

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

A: The correlation value is obtained using EXCEL. The software procedure is given below: Enter the…

Q: A correlation of r = – 0.95 is stronger than r = + 0.70.

A: Given that  correlation r=-0.95 and r=0.70

Q: If r= +1, the correlation is said to be a O Perfect negative correlation O Perfect positive…

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Q: What is your best estimate of the correlation coefficient shown here?

A: A scatter plot provides the idea about the form, direction, and strength of the relationship between…

Q: True or False: If the correlation coefficient from two variables X and Y , the number of shark…

A: From the known information, a change in one variable affects the change in another variable. Which…

Q: The correlation between the price indices of animal feeding-stuffs and home-grown cats in a sample…

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Q: Calculate the correlation between Corr(ex, ex) X and Y are distributed normal with mean 1 and…

A: The correlation of X and Y is defined by,             ρxy=CovX,Yσxσy Here, ρxy is the correlation…

Q: The store manager of a business that sells jackets is curious if the weather temperature (in degrees…

A: Result: i) Correlation coefficient between temperature and sales is -0.6362 ii)Yes, Weather…

Q: What is the coefficient of correlation given this data: X = 61, 62, 95, 71, 49 Y = 32, 47, 107, 77,…

A: X Y X \cdot YX⋅Y X^2X2 Y^2Y2   61 32 1952 3721 1024   62 47 2914 3844 2209   95 107…

Q: A researcher obtains a Pearson correlation of r= 0.60 for a sample of n= 6 pairs of X and Y scores.…

A: Given Pearson correlation coefficient = r = 0.6sample size n = 6.To test the significance of the…

Q: Here is a scatterplot. Give an estimate for the correlation coefficient r and explain how you made…

A: Correlation: Correlation determines the strength and direction of the linear relationship between…

Q: An r value of .8 indicates a strong positive correlation.? true or fault

A: Given statement: An r value of 0.08 indicates a strong positive correlation. True or fault?

Q: A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of…

A: Correlation: Correlation determines the size and direction of the relationship between the two…

Q: The correlation should be around zero if the scatter plot reveals a set of data points that form a…

A: From scatter plot we can estimate the correlation Coefficient value

Q: A correlation of r=1.2 is not possible? Define?

A: Given that, A correlation of r=1.2