Example 10: Show that r= where r = coefficient of correlation 20,0, between x and y, o.o are the variances of x,y and x+ y respectively.

Q: A dietician is researching two new weight gain supplements that have just hit the market: Ripped and…

A: We have given that  Sample size n1= 14   , n2= 12 Sample means xbar1 = 10.59 , xbar2 = 9.44 Sample…

Q: What are the possible values of the linear correlation coefficient?

A: The correlation coefficient measures the linear relationship between two quantitative variables.

Q: Suppose you play a game that you can only either win or lose. The probability that you win any game…

A: Given,n=20p=0.65A random variable X~Binomial(n=20 , p=0.65)P(X=x)=20x0.65x0.3520-x  ;…

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

Q: A fairly high correlation should exist between the two variables?

A: Consider that X and Y are two random variables. While Corr (x, y) is defined as the correlation…

Q: A positive correlation between two variables, X and Y, indicates that: Group of answer choices as…

A:

Q: How can you verify whether the linear correlation between two variables in a scatterplot is…

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

Q: QUESTION 9 An analysis of variance differs from a t test for independent means in that an analysis…

A: We want to tell you which one is the correct choice.

Q: Suppose the variance of X is 33. What is the variance of .23X?

A: Given,Var(X)=33 we know that Var(ax)=a2Var(X)

Q: Suppose x values are: 0, 1, 2, 3, p(x) = 0.46, 0.28, 0.14, 0.12 and u= 0.92 Compute the variance for…

A: The mean is 0.92.

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: The nation of Olecarl, located in the South Pacific, has asked you to analyze international trade…

A: Balance of trade  is the difference between the total revenue from exports and total costs of…

Q: Find the correlation coefficient between the “modules studied in the last semester and number of…

A: Let us assume the data is obtained as:   Hours spent (y) Modules studied(x) 8 4 5 1 8 3 6…

Q: 3. A study was conducted to determine whether the type of patient care (full-time, part-time) is…

A: There are two types of patient care 1. Full time          2. Part time The data relating to two…

Q: hat is the Pearson's r correlation coefficient for a sample set of data with values (1,2), (2,3),…

A: x y 1 2 3 4 2 3 4 5 ∑x = 10 ∑y = 14 Mx = ∑xn = 104 = 2.5 My = ∑yn = 144 = 3.5

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: Suppose Y = 6x-8, where x is a random variable with mean 2 and a variance of 4/3. Determine the…

A: