Prove variance property: var(aX + b) = a²var(X) where a and b are constants.

Q: Type I error occurs when H0 is correct but H0 is rejected. True or False?

A: Type I error: Type I error is defined as the probability of rejecting the null hypothesis, when it…

Q: Suppose that Var(X) = 934.93, Var(Y) = 11297.02, and Cov(X,Y) = 2912.35. What is Var(.87X + .13Y)?

A: The given .The aim is to find the .The formula used .

Q: The estimate of b in the regression equation y=a+bx+error by the method of least square is

A: It is given that The response variable y is related x as y = a + bx + error

Q: Solve for average value of the function within interval [0,20]

A:

Q: What is the difference between dependent and independent variable?

A: Our aim is to state the difference between dependent and independent variable

Q: For each variable, determine whether it is best thought of as discrete or continuous. Variable…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3- Find the equation of the regression line and find the y_ value for the specified x value.…

A: Basics: The question of regression line on y on x , it is given by; ( y - ȳ ) = byx ( x - x̄ )

Q: What are the assumptions of multiple linear regressions only?

A: The assumptions for multiple linear regression inferences are; 1. Linearity: There must be linear…

Q: Find two  z  values so that  58%  of the middle area is bounded by them

A: To find the two z value so that 58% of the middle area is bounded by them: That is:…

Q: Two variables have a positive linear correlation.  Is the slope of the regression line for the…

A: We have given that  Two variables have a positive linear correlation