How standard normal cumulative distribution function is used by Probit regression?

Q: Derive mean and variance of gamma distribution.

A:

Q: In simple regression, the percentage of variance in Y that can be explained by X is identified by

A: We know that, in any regression model, we need to measure the model accuracy i.e. we need to check…

Q: 1. Which assumption regarding the population residuals of linear regression models is necessary for…

A: According to guidelines i solve only first question if u want answer of second question send again…

Q: Explain how to determine the variance ination factor (VIF) for a predictor variable x1 in a…

A: Variance inflation factor:Variance inflation factor of a variable is the ratio of the variance of…

Q: Define the assumptions that inferential statistics in regression are based upon?

A: Solution: Regression is a technique that is used to estimate the dependent variable by using the one…

Q: Define how to use t-Statistic in Regression When the Sample Size Is Small? Explain Use of the…

A: The t statistics is divided by its standard error coefficient. The default error is an approximation…

Q: Suppose a time-series plot shows that the data in question exhibit an increasing trend along with a…

A: Given Suppose a time series plot shows that the data in question exhibit an increasing trend along…

Q: What is the connection between cointegration and spurious regression?

A: In general, regression models for non- stationary variables give spurious results .only  exception…

Q: In a simple linear regression, show that the OLS regression line always passes through the mean…

A: Let,     yi=a+bxi+ui be the population regression line and yi=a^+b^xi+ei^ be the sample regression…

Q: Define a general formula used for a nonlinear population regression function? Explain with example?

A:

Q: What is the expected average height of 8 year old boys, using the regression equation?

A: From the given information, the obtained regression equation is y=27.84+2.573x.

Q: 1 example solution of mean and variance using Negative Binomial Distribution.

A:

Q: The mean time to expose a single panel in a circuit-board plant is 2 minutes with a standard…

A: Given data  The mean time to expose a single panel in a circuit-board plant is 2 minutes with a…

Q: What is A REGRESSION LINE?

A: A regression line is a line which is generally used to estimate a dependent or response variable…

Q: expected

A: Here given,  An Insurance company sells a 1-year term life insurance policy to an 76-year-old woman.…

Q: What are the assumptions of Inferential statistics in regression?

A: Regression analysis is used to predict the dependent variable by using the one or more independent…

Q: How to use simple linear regression model to find 90% confidence interval for the mean of y,…

A: Given, Confidence level = 90% for simple linear regression model of Y on X.

Q: What are some examples of ways in which  linear regression to create a beneficial statistical…

A: Linear Regression:Linear regression is a method used to establish a relationship between the…

Q: when do we use the statistical treatments

A: I will discuss when we have to use statistical treatments

Q: What is the interpretation of the slope beta1=-0.5 for the simple logistic regression with a…

A: The simple logistic regression model is a predictive algorithm using independent variables…

Q: How expected change is estimated? when the population regression function is a nonlinear function of…

A: Introduction: Consider the response variable as Y. Suppose f (X) be a function of the predictor…

Q: What is Regression Analysis?

A: Given: Regression Analysis

Q: What are the assumptions of simple linear regression (and as a consequence the pearson’s r…

A: We find the assumption for linear regression.

Q: Define "regression coefficient"?

A:

Q: THE VALUE OF THE VARIANCE IS ALWAYS NOT POSITIVE. TRUE ERROR

A: The variance is square of standard deviation

Q: 3. In some data sets, there are values that are far from the linear regression line. What are the…

A: In some data sets, there are values that are far from the linear regression line. What are the data…

Q: Describe two ways in which Pearson correlation and simple linear regression are similar?

A: Pearson correlation - It gives a measure of degree of relationship The assigned value lies between…

Q: Explain kurtosis of the distribution?

A:

Q: What is the prediction interval equation for multiple linear regression when given σ ?

A: Prediction interval for multiple linear regression is given by Prediction interval

Q: true or false. as the degrees of freedom increases, the variability of the chi-square distribution…

A: On increasing the degrees of freedom of chi-square test, the curve becomes less skewed, so less…

Q: Define regression line

A: Suppose ,we have 2 variables X and Y, out of which we want to know if there is any linear dependency…

Q: The errors in multiple linear regressions have a normal distribution and are dependent. True False

A: Solution: 5. Regression is a technique that is used to estimate the dependent variable by using the…

Q: Calculate an estimate of the error standard deviation in the simple regression model

A: Given data, x y 112.3 75.2 97 70.7 92.7 57.9 86 48.5 102 73.9 99.2 73.3 95.8 68.1…

Q: Consider the following production function:

A: Given information: The regression output is given.

Q: If we are interested in the normality assumption in the context of regression, should we be…

A: Regression analysis

Q: Define regression analysis

A: Regression analysis is a statistical method used for finding the relationship between the dependent…

Q: 1. Describe the key features of the normal curve and explain why the normal curve in real-life…

A: Normal Distribution A normal distribution is a bell-shaped curve with same mean, median and mode. It…

Q: 3. If the error term in a linear regression model is normally distributed, then the distribution of…

A: We have given that If the error term in a linear regression model is normally distributed then the…

Q: Explain the concept of Asymptotic Distribution of the OLS Estimatorand t-Statistic in the multi…

A: OLS is the Ordinary least square . Which is the most common estimation method for linear models and…

Q: Illustrate the Regression Discontinuity Estimators?

A: In the context of an evaluation study, the Regression discontinuity design is characterized by a…

Q: If the coefficient of determination of a simple regression equation is 0.81, the correlation…

A: Correlation coefficient is the square root of coefficient of determination.

Q: Define Regression Methods?

A: Introduction The regression equation is used for the prediction of y values which depends upon the…

Q: Define Residuals or errors in Alternative Regression Models?

A: The residual or errors is defined as the difference between the observed value of the dependent…

Q: Explain how to determine the variance inflation factor (VIF) for a predictor variable x1 in a…

A:

Q: The value of the variance is always not positive. true Error

A: True  Followings are the Explanation of the Question  1) Variance is the Squared deviation from the…

Q: 4) In a univariate linear regression, explain intuitively, graphically and mathematically, how the…

A: Given Solution:

Q: Show that arithmetic mean of regression coefficients is greater than the correlation coefficient.

A: Regression coefficients :  Let X and Y be two variables, then we can get two regression equations;…

Q: Kon 18. For 100 students of a class, the regression equation of marks in Statistics (X) on the…

A:

Q: Explain the various concepts & tools of regression with time series data?

A: A time series can be decomposed into three components: the trend (long term direction), the seasonal…

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.