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: 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: Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40…

A: Given: r = correlation coefficient = 0.526 n = 40

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: Find the correlation coefficient and interpret it

A: Given Year  Enrollment in College (in millions) 0 8.6 10 12.1 20 13.8 30 15.3 40 18.1…

Q: If X, Y and Z are uncorrelated and independent variables with the same variance o and zero mean.…

A:

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

A: Note that, r(x,y) = r(y,x)

Q: An urn contains 10 white balls and 8 red balls. 2 balls are selected at random. Let X denote the…

A: The number of balls in the urn is given as follows:White=8; Red=2The variables are given as…

Q: The number of faculty and the number of students are shown for a random selection of small colleges…

A: Let x be the independent variable and y be the dependent variable. The number of faculty depends on…

Q: Find the value of the linear correlation coefficient r. Two different tests are designed to measure…

A: Given data, X Y X*Y X*X Y*Y 23 49 1127 529 2401 25 53 1325 625 2809 28 59 1652 784 3481…

Q: 2. The following data were obtained in a study of the relationship between the weight and chest size…

A:

Q: Make a scatterplot and find the correlation coefficient. Do you think all five specimens come from…

A: Given that, Dependent variable (y) = Femur Independent variable (x) = Humorous Sample size = n1 = n2…

Q: A random sample of middle class households was taken in a certain state.  The income (explanatory…

A: r = 0.005 Here r is approximately near to zero.

Q: Listed below are amounts of court income and salaries paid to the town justices. All amounts are in…

A:

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

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

Q: Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40…

A:

Q: We measure the heights and weights of 100 twenty-year-old male college students. Which will have the…

A: Correlation is a statistic that measures the degree to which two variables move in relation to each…

Q: Make up a table with five pieces of bivariate data and determine the correlation coefficient, r.…

A:

Q: The number of faculty and the number of students are shown for a random selection of small colleges…

A: t=rn-21-r2 =0.79847-21-0.7984^2 =2.9649

Q: What is the formula for calculating the correlation coefficient between two variables x and y?

A: The  and  are the two random variables.

Q: Nine students held their breath, once after breathing normally and relaxing for one minute, and once…

A:

Q: An industrial psychologist hired by a leading accounting firm wanted to know if the average number…

A: The formula of test statistic is,where, denotes the sample means denotes the sample standard…

Q: A factory sorts out the number of beverage vending machines (x) and the number of beverage cans sold…

A: It is given that the factory sorts out the number of beverage vending machines (x) and the number of…

Q: Number of Final exam absences grade 4 72 1 97 3 87 57 92 82 2 92 3.

A: We have given that  X = represent the number of absences Y = represent the number of final grade

Q: A negative correlation indicates: the values on the two variables being analyzed move in opposite…

A: We have to find correct answer..

Q: The correlation coefficient between variables X and Y is 0.68. What does this signify? a. When X…

A: If correlation coefficient between variables are positive then ,if one variable is increases then…

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

A:

Q: The number of faculty and the number of students are shown for a random selection of small colleges…

A: Let X denotes the number of faculty  & Y denotes the number of students  then a linear…

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: Two statistically independent ran dom have variances of Variables X and new Man- Y o² = 9 and of dom…

A: U=3X+4YV=5X-2Yand X , Y two independent random variables.

Q: calculate the correlation coefficient to three decimal places, x is 4,5,6,7,8,9,  y,…

A: Given information-