What are the different measures used for the OLS estimate of the multiple regression line?

Q: Why is it important to use clustered standard errors for the regression?Do the results change if you…

A: Clustered Standard Errors occur when some observations in a data set are related to each other. It…

Q: Discuss how to choose the appropriate benchmark for performance evaluation USING REGRESSION R…

A: Using Regression R Squared

Q: Explain role of the instrument relevance condition in IV regression?

A: An instrumental variable (sometimes referred to as a "instrument" variable) is a third variable…

Q: If a best-fit line is obtained from a sample data, then the constant variance assumption can be…

A: The residuals of the linear regression model should have a constant variance which is checked by…

Q: < Prev The table below gives the list price and the number of bids received for five randomly…

A: Slope is the change in the value of dependent variable for a unit value change in independent…

Q: Which assumptions is not required for unbiasedness of regression parameters?

A: As options are not given here but we know that there are 4 assumptions for unbiasedness of…

Q: The new manager of an Information Technology company collected data for a sample of 20 computer…

A: The data is given by: Experience ( in years)      x1 Score ( out of 100%) x2 Salary (y) 4…

Q: Explain how, when and why we use Qualitative ( Categorical)  type Independent variables in Multiple…

A: Categorical type independent variable in Multiple regression analysis

Q: Whta kind of plot is useful for deciding whether it is reasonable to find a regression plane for a…

A: Scatterplot matrix:It is a collection of scatterplots organized into a matrix. Each scatterplot…

Q: a. is this model significant ? what is the null and alternate hypothesis. b. what is the sample…

A: We have given that the regression output including ANOVA, We want to check  a. is this model…

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

A: Sample size =50 Equation 3X-5Y+180=0 X: Statistics Y: Mathematics Mean of Y=44 Variance of X =9/16…

Q: What is regression? why are there in general two regression lines? under what conditions properties…

A: Regression is a statistical method used in finance, investing, and otherdisciplines which attempts…

Q: Can you find r^2

A: From we have : X Y -0.3 0.09 0.3 0.07 2.1 0.47 1.8 0.85 0 0.31 0 0.38 0.3 0.71 0…

Q: You want to look at an ANOVA table of a regression in which a dependent variable is predicted using…

A: The total number of observations is n = 7 and the F-ratio is, 15. The residual sum of squares is RSS…

Q: Ordinary Least Squares (OLS) is a regression estimation technique , why it is used for?

A:

Q: An educational consultant collected data from 10 school districts. Measures were taken of the number…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: What are the possible consequences of the presence of outliers in the data used for conducting a…

A: An outlier is an observation that is distant from the other values in a data set. It causes serious…

Q: How is the number of degrees of freedom available for estimating , the variance of ε, related to the…

A: Let n be total number of variables       k be number of independent variables

Q: How do we test whether a regression is significant? Please be as specific as possible. Be sure to…

A: The regression is significant.

Q: Define errors of prediction in a scatter plot with a regression line?

A:

Q: If the coefficient of determination is 0.298, what percentage of the data about the regression line…

A: Coefficient of determination It tells us the percentage of variation  in the dependent variable that…

Q: A large value of coefficient of determination indicates that the estimated regression line is a good…

A: Coefficient of determination: Coeff of determination is explain variation in y due to x. For e.g 0.6…

Q: Show the difference between the "complete model" and "reduced model of regression analysis?

A:

Q: True or False: The residual of a data point is the observed value minus the predicted value.

A: Introduction: The population regression model of a response variable y on explanatory variables, x1,…

Q: true or false. Explain In a fixed effects regression, the residuals (ûit) will be uncorrelated with…

A: The statement is true.

Q: What is a simple way to check for normality of residuals in a regression model?

A: First of all, testing of normality of residual is important for any regression model because it it…

Q: fit to a data set with p predictor variables, and the adjusted R-squared value is 0.75. What can we…

A: Multiple regression model y = b0+b1x1+b2x2 Independent variables x1 and x2 Dependent variable y…

Q: What is a “residuals plot” and how is it used in assessing linearity of calibration curves?

A: Residual plot is the graphical representation of the residuals of the regression model.

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.