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: Define continuous variation

A: Let CV denote Continuous Variation.

Q: i) Examine stationarity of {X}.

A:

Q: how does the independent variable differ from the dependent variable?

A: Let independent variable be denoted by IV Let dependent variable be denoted by DV

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: In cases where time elapses between the changes in an independent variable and the dependent…

A: The independent variables are those whose value do not depend on any variable. Values of dependent…

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: The coefficient of determination measures the percentage of variation in the independent variable…

A: The coefficient of determination measures the percentage of variation in the dependent variable…

Q: calculate the average and the variance of total cost of the Alpha Corporation..

A: Given, E(X)= 3500 V(X) = 2000 E(Y)=5500 V(Y)=3000 Total cost function = 2X+4.5Y+500

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: Find the mean value of the function f(X,Y)= X² +Y².

A:

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: pls give me a conclusion for the above comparison

A: It is clear from the two outputs of descriptive statistics that both datasets cover temperature…

Q: For 50 students of a class the regression equation of marks in Statistics (X) on marks in…

A:

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

Q: The slope is the estimated average value of dependent variable when the independent variable is 0.…

A: Objective of this question is that above statement is TRUE or FALSE.