A fair coin is tossed three times (consecutively). If X is the number of heads of the first shot and Y is the random variables representing the total number of heads, what is the correlation coefficient of X and Y? calculate

Q: rondyaassa 8.17. Compute Karl Pearson's coefficient of correlation between X and Y from the…

A: The Karl Pearson correlation coefficient is used to find the strength of association between the two…

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: 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: The scatterplot shows the relationship between two random variables X and Y.  - If r=0.15 then what…

A: Solution

Q: If two random variables are independent,then a. knowing the value that one takes on tells nothing…

A: We know that  If two random variable are independent  COV(X,Y)=E(X,Y) - E(X)E(Y)

Q: The ranking of 10 students in two subjects A and B are as follows: A в A B 4 8. 9. 10 3 4 7 7 10 9.…

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

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Q: WHat is the linear correlation coefficient

A: The linear correlation coefficient is denoted by “r” and used to measure linear relationship between…

Q: this scatterplot, what value of the correlation coefficient between the variables would you select…

A: There is no pattern in the given scatterplot. Thus,  there is no correlation between the variables.

Q: Men Women 61.7 42.8 72.6 57.9 55.4 62.1 60.4 74.2 75.3 75.4 49.1 65.2

A: The given data is Men(x) Women(y) 61.7 60.4 42.8 74.2 72.6 75.3 57.9 75.4 55.4 49.1…

Q: Consider two random variables, X and Y, such that Y =-4X +20. The mean value and the variance of X…

A: The correlation is the relationship between two variables. It can be measured using the correlation…

Q: Determine whether statement is true or false, and explain why. It is not possible to get a…

A: Answer :           True                                    Correlation coefficients are…

Q: The following table lists the heights (in inches) and weights (in pounds) for a sample of National…

A:

Q: A student wants to see if the number of times a book has been checked out of the library in the past…

A: Correlation is the measure that used to determine the association between the two variable. The…

Q: Most universities and colleges require an SAT score as one of the inputs to an admissions decision.…

A: It is given that the SAT scores for 10 students and their college GPAs.

Q: For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of five types of…

A: Given information- We have given the data set of weights (pounds) and highway fuel consumption…

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

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Q: Why might we calculate the correlation coefficient for x and y values in a scatterplot?

A: Scatter plot is use to draw a relationship between two variables.

Q: Which of the following is the best Interpretation of the correlation coefficient?

A: Correlation is measure that used to determine the relationship exist between two numerical variable.…

Q: 3. Which shows the strongest linear correlation? State why. C) A) Y 0 00 B) Y P

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Q: Following is a random sample of three (x, y) pairs of data points (10, 100), (15, 50) and (6, 25).…

A: From given data, X Y X*Y X*X Y*Y 10 100 1000 100 10000 15 50 750 225 2500 6 25 150 36 625

Q: Compute the Pearson Correlation Coefficient, r,  for the following data and say if the correlation…

A: We have to calculate the Pearson correlation coefficient for the given data.

Q: A negative value of the correlation coefficient indicates that the variables are unrelated. O true O…

A: Negative Correlation :  If the  change in the value of one variable results in the change of value…

Q: If the value of the Pearson correlation is r = 0, then all data points on a scatterplot would fall…

A: We have to answer statement true or false..

Q: (1) If X is measured in dollars (S), and Y is measured in meters (m), what is the unit of…

A: Solution: 1. From the given information, X is measured in dollars and Y is measured in meters.   The…

Q: One use of the linear correlation coefficient is as a descriptive measure of the strength of the…

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Q: Suppose X and Y are independent random variables. Y a. What is the correlation coefficient of X and…

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Q: Determine whether the given correlation coefficient is statistically significant at the specified…

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Q: Compute the correlation between the random variables Y1 and Y5 = 1+ X1 + X2.

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Q: The Pearson correlation coefficient, r, is bound between a lowest possible value of highest possible…

A: Given: Pearson correlation coefficient r most common way of measuring a linear correlation it…

Q: A random sample of 5 college students is selected and their grades in Example 3: Mathematics and…

A:

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

A: Solution:Mean ˉx=∑xi/n=(2+3+6+4+5)/5=20/5=4Mean ˉy=∑yi/n=(3+1+5+4+2)/5=15/5 =3

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: In a dataset, X is the independent variable, and Y is the dependent variable, and r is Karl…

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Q: The weight (in pounds) and height (in inches) for a child were measured every few months over a…

A: Correlation coefficient quantifies the strength and direction of relationship between variable. The…

Q: Does a major league baseball team's record during spring training indicate how the team will play…

A: xi yi xi-x yi-y (xi-x)(yi-y) (xi-x)2 (yi-y)2 0.407 0.422 -0.14579 -0.08807 0.012839 0.021253…

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

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Q: For a sample of n = 20 individuals, what correlation coefficient is necessary to be statistically…

A: we have to find critical value of r.

Q: (1) If X is measured in dollars ($), and Y is measured in meters (m), what is the unit of…

A:

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

A: We need to use the concept of correlation

Q: If you have 10 variables when computing correlation coefficients how many unique coefficients will…

A: It is provided that there are a total of 10 variables for which the correlation coefficients are…

Q: A health policy economist interested in investigating the relationship between the cost of…

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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: Calculate the correlation coefficient?

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

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: 6. Based on the given correlation coefficient, circle positive/negative and strong/weak. r = 0.85 r…

A: Given data: The given value of the correlation coefficient is r=0.85. In statistics correlation…

Q: For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of five types of​…

A: From the provided information, The p value is 0.033. Assuming that the null hypothesis is true, the…