Calculate the correlation coefficient of the two variables below.

Q: For perfect correlation, the coefficient of correlation should be +1 +1 -1

A: The Pearson correlation coefficient used to determine the relationship between two quantitative…

Q: If X and Y are independent the correlation cofficient between X and Y is equal zero

A: If x and y are independent, means they are uncorrelated , correlation coefficient is zero. Given…

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: Based on the data shown below, calculate the correlation coefficient r (to three decimal places)

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Q: -2 7. 4 21 1 3 15 10 -2 3. -0.885 -0.778 -0.994 -0.671

A: Number of counts (n) = 9   x y x2 y2 xy   -2 15 4 225 -30   0 10 0 100 0   7 -2 49 4 -14…

Q: The stronger the relationship between the two variables, the closer the correlation coefficient is…

A: Correlation coefficient is a measure of relationship between two variables. It is denoted by ‘r’ and…

Q: What would be an example of an impossible correlation coefficient? In other words, give a value of r…

A: Construct the table below-

Q: When you solve and get an r value for the correlation coefficient, what information is revealed by…

A: We know that Correlation measures tye association between the two variables.  If two variables move…

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: Give interpretation of the below?Correlation ρxy≈0

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Q: If the correlation coefficient of the data is r= +1, which of the following| description for this…

A: If the correlation coefficient of data is r=+1 Which of following is best description?

Q: Find the (а) теаns (b) varignces (c) correlations

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Q: Find the coefficient of determination r2, given that the value of the linear correlation…

A: It is given that The correlation coefficient is r = 0.611

Q: Find the correlation coefficient between the variables X and Y presented in the table: X 1 3 4 6 8…

A: We want to find the correlation coefficient between the variables X and Y

Q: Compute the Pearson correlation for the following data.   X     Y 2      3 3      1 6      5 4…

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Q: 1.2. Calculate the correlation of coefficient (r).

A: Here, Two variables are given, X : Income per annum (in R 1000)  Y : Life Insurance (in R 1000) The…

Q: Find the Covariance and the Correlation between X and Y

A: Given: n=5 The covariance and correlation are calculated as…

Q: b) the correlation coefficient :of this data is

A: here use basic of Correlation coefficient

Q: Which of the following values of the correlation r indicates the strongest correlation between the…

A: The correlation coefficient r measures the direction and strength of the linear relationship between…

Q: Determine whether each statement is true or false, and explain why A correlation coefficient of zero…

A: Correlation coefficients are indicators of the strength of the linear relationship between two…

Q: Please interpret this Spearman rho correlation value: -0.21 (p=0.12)

A: We have given that  Spearman correlation coefficient rs = -0.21

Q: When interpreting a correlation coefficient of 0.34, you would say that there is a linear…

A: Based on the r value, we can consider whether the linear relationship between two variables are weak…

Q: Find the correlation coefficient (r)? xy

A: Given data,

Q: Estimate the correlation depicted by the following scatterplot:

A: Here given the Scatter plot

Q: If you calculated a correlation coefficient to be 1.06, what conclusions can you draw?

A: Here is Given r = 1.06 which is correlation coefficient between the variables.

Q: What is the value of the linear correlation coefficient "r" for the fol y 2 4 1.

A: The formula for the relation correlation coefficient is given as follows r=∑xi-x∑yi-y∑xi-x2∑yi-y2

Q: 1. Calculate the linear correlation coefficient for the following data. X = 4,8,12, 16 and Y = 5,…

A: Given Data X = 4, 8, 12, 16 and Y = 5, 10, 15, 20

Q: If the correlation coefficient between X and Y is equal to zero, then:

A: Given that the correlation coefficient between X and Y is equal to zero. That is,…

Q: Can the correlation coefficient be 4?

A: The range of the correlation coefficient is -1 to 1.

Q: Calculate the correlation coefficient, r, for the data below.   1 3 10 7 5 4 6 8 9 2 -5 -3 14 6 3 -1…

A: We want to find the correlation(r)

Q: Compute the Pearson correlation for the following data and then test its significance. X     Y 2…

A: The independent variable is X. The dependent variable is Y. The given data represents simple linear…

Q: In a sample of size200,the correlation coefficient is 0.45. Is the correlation coefficient is…

A: Hypothesis Testing: It is basically a comparison of the statistical measures of the data with one…

Q: Calculate the correlation coefficients rxy, rxz, and ryz.

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Q: If r is the simple correlation coefficient, the quantity r2 is known as:

A: We need to use the concept of correlation / regression analysis

Q: Question 3 Calculate the correlation coefficient ryy.

A: Correlation measures the strength and association of linear relationship between variables. It is…

Q: Which of the following values of the correlation coefficient indicates the weakest relationship…

A: Given, the values of the correlation coefficient, To find the correlation coefficient  which…

Q: Compute the correlation coefficient p for X and Y.

A: The expected value of x2 is,…

Q: Estimate the co-efficient of correlation between x and y from the following data and hence comment…

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

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Q: Find the cross correlation function between the processes?

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Q: If (r) is the correlation coefficient between two variables, then:

A: We need to use the concept of correlation

Q: If the linear correlation coefficient is 0.546, what is the value of the coefficient of…

A: Coefficient of Determination: It is denoted by r2, here r represents the correlation between the two…

Q: E, calculate the correlation coefficient (rounded to three decimal places)

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Q: As a result of the research, it was concluded that there is no relationship between the two…

A: Correlation coefficient : Correlation coefficient  is used to measures the association or linear…

Q: If the correlation is 0, then there is no relationship between the two variables.

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Q: The correlation coefficient is r

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