3. The length of time required by students to complete a 1 hour exam is a random variable with a pdf given by: f (x) = ca + for 0 < x <1 a. Find c. Enter c as a reduced fraction. C = b. Find F(x). Enter coefficients as reduced fractions and use ^ to denote powers.

Q: Use secant method to determine a root of f(x) = x 4 - x – 10 with initial guesses of x-1 = 1 and xo…

A: Secant Method:- Let a function f(x) then the roots of function f(x) is  xn+1=xn-fxnxn-xn-1fxn-fxn-1;…

Q: A statistician wants to investigate whether the price of a one-family house (Y, in dollars) is…

A: (a) To find the estimated least-squares regression equation for the model, we employ the…

Q: ht. e want to test Ho = 1; H <1 where = the true mean weight (in pounds) of bread loaves produced at…

A: It is an important part of statistics. It is widely used.

Q: The Harvard Step Test was developedt in 1943 as a physical fitness test, and modifications of it…

A:

Q: The given piecewise function is used in the following 2 questions. 4-x -4 < x < 3 f(x) = { V %3D…

A:

Q: The life table function for the members of a stationary animal population is given by Q(x)=1- 0≤x≤k,…

A: a) To find the mean lifetime for members of the population, we need to calculate the expected value…

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: Determine p' (x) if p(x) = (5x)" and a = 4. .

A:

Q: In N(2, 4) the mean is 2, the standard deviation is 4. Two standard deviations left of the mean is…

A: It is given that the mean is 2 and the standard deviation is 4.

Q: Suppose X~ N(2,6). What value of a has a z-score of three? x =

A: From the information, the random variable X follows normal with mean 2 and standard deviation 6.…

Q: 3.  A claim is made that the proportion of children who play sports is less than 0.5, and the sample…

A: Given,sample size(n)=1158sample proportion(p^)=0.3population proportion(P)=0.5

Q: Estimate the average gasoline consumption over the time interval [0,5]. Estimate the average…

A:

Q: In SD(X-mu/sigma)=1/sigma * SD(X) What happened to the mean mu?

A:

Q: The molecular weight of a particular polymer should fall between 750 and 1,035. Thirty samples of…

A: The answer is attached below,

Q: Suppose X has PDF fX (x) = 4x(1 − x^2) for 0 &lt; x &lt; 1 (0 everywhere else). Find all mediansand…

A: Step 1:(a) Finding all medians of X:The median m of a continuous random variable X is the value that…

Q: If the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with…

A: The life expectancies of two counties are given.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.