when is the covariance or coefficient of correlation zero?

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: What is the strength/magnitude of the correlation?

A: Consider, Correlation coefficient=0.953.

Q: Describe an example in which two variables are strongly correlated, but changes in one do not cause…

A:

Q: 1. State whether the scatter diagram shows strong positive correlation, weak positive correlation,…

A: Since we know that Positive correlation :- Both variable move in a same direction in other words as…

Q: 2. Sketch the scatter plot that shows: a. Positive correlation b. Negative correlation' c. Zero…

A: Scatter plot is the graphical representation of the relationship between two variables of a…

Q: If the coefficient of correlation is 0.60, then the coefficient of determination is?

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Q: Can you think of other correlations in life that are interpreted mistakenlyas causal?

A: Correlation and causation are terms that are mostly misunderstood and often used interchangeably.…

Q: A Correlation shows an association only between two variables

A: The degree in which an independent variable causes changes observed in the dependent variable is…

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: Generally speaking, if two variables are unrelated (as one increases, the other shows no pattern),…

A: (1) a positive or negative number close to zero; correlation value (r) as close to zero explains…

Q: if the coefficient of correlation is -0.60, then what is the coefficient of determination is?

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Q: When do the convolution and the correlation of two signals produce identical results and why?

A: Convolution is a mathematical way of combining two signals to form a third signal. It is the single…

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

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

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

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Q: What is one purpose of the linear correlation coefficient?

A: Linear correlation coefficient (r): It describes the strength and direction of the relationship…

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

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

Q: The range of correlation is -1 to +1 True or false

A: In this case, we need to identify the given statement is true or false.

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: Imagine that there are only two points in a scatterplot. 7. How do you position these points so that…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What does it mean when two variables are described as “positively correlated”?

A: In statistical analysis to measure the relation between two bivariate data, then if the change of a…

Q: What are the limitations of a simple linear correlation model that has only one independent…

A: Statisticians use correlational analysis to study how two sets of data are related.

Q: Which is the strongest (highest) r correlation:  -0.9000 -0.6000 -0.3000 0.4500

A: Correlation r is lies between -1 and 1. The value of r near to 1 in absolute value gives the…

Q: Can the correlation coefficient be 4?

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

Q: Which correlation coefficient does not belong with the other three? Or = 0.98 Or = 0.96 Or = - 0.1…

A: Correlation quantifies the strength of relationship between 2 variables. The value of correlation…

Q: If the value of the Pearson correlation is r=+1.00 or -1.00, then all data points in a scatter plot…

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

Q: The symbol that is used for the linear correlation coefficient is _______.

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Q: 9) Determine which plot shows the strongest linear correlation. A) УЛ B) D) C) УЛ УЛ

A: Correlation is the measure of linear association between two variables. The variables are said to be…

Q: How are linear correlation tests and t-tests similar?

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Q: How is correlation defined?

A: Correlation is a term that is a measure of the strength of a linear relationship between two…

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

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Q: Squaring the Pearson correlation coefficient (r2) tells us that

A: Coefficient of Determination: Square of the correlation coefficient is known as the coefficient of…

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

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Q: we can conclude from correlation calculation that one variable caused the other variable. True or…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: The degrees of freedom of correlation test is determined by what?

A: The degrees of freedom of correlation test is determined by : n - 2

Q: What effect does an outlier have on a correlation coefficient? Would it increase, decrease or stay…

A: Here we have to explain what effect does an outlier have on a correlation coefficient? Would it…

Q: Based on the scatterplot, what is the most likely value of the linear correlation coefficient r

A: From the above scatter plot, we can see that the  There is a decreasing pattern between the…

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

A: There are some factors which affect the size of the Pearson correlation coefficient. Variability in…

Q: Explain the relationships among covariance, scatter plot, and correlation?

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

Q: Calculate the correlation coefficient?

A: We jave to calculate the correlation coefficient based on 3 pairs of obsevations on x and y.

Q: Explain Graphically by drawing hypothetical disgrams when the coefficient of correlation between two…

A: The degree or extent to which two variables are linearly related or associated, is called the…

Q: Calculate the correlation coefficients rry, rrz, and ryz-

A: Here, x y x-x y-y (x-x)(y-y) (x-x)2 (y-y)2 1 0 -5 -2.45 12.25 25 6.0025 2 0 -4 -2.45 9.8 16…

Q: What does it mean if the linear correlation coefficient is A) 0? B) -1?

A: A) It is given that the correlation coefficient is 0.

Q: Give your own example of a positive AND a negative correlation.

A: A positive correlation is a relationship between two variables where if one variable increases, the…

Q: If the correlation between two variables is close to Zero, the linear association between the…

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

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

A: Given that, A correlation of r=1.2

Q: The correlation coefficient is r

A: