Suppose there is a significant correlation between variables. describe 2  cases under which it might be inappropriate to use the linear regression equation for prediction

Q: Suppose that you are estimating the simple regression model Y; = B1 + B2X; + ui, and in your sample,…

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Q: Explain the assumptions are needed to calculate the various inferential statistics of linear…

A: The assumptions needed for inferential statistics of linear Regression is  The dependent variable…

Q: To estimate the value of a dependent variable based on the values of one or more independent…

A: Solution-: To estimate the value of a dependent variable based on the value of one or more…

Q: Explain the Two stage Least Square estimator in the general IV regression model?

A: Regression analysis of twostage minus squares (2SLS) is a statistical technique used in the analysis…

Q: State the four conditions required for making inferences in multiple linear regression analysis

A: Solution: We have to state the four conditions required for making inferences in multiple linear…

Q: If the correlation of the X's is equal to 1 or -1, then the regression cannot process. Why?

A: Correlation of X's means that the independent variables (IVs) are dependent on each other and this…

Q: Explain various Assumptions of the Fixed Effects Regression ?

A: The fixed effect principle is that the independent variables are correlated with the…

Q: If the correlation between the two independent variables of a regression analysis is 0.11, and each…

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Q: List six problems that can arise in the collection of data for a multiple linear regression…

A: In this situation, it is required to mention the six problems that can arise in the collection of…

Q: If the slope of the regression line is positive, then the correlation is also positive. Select one:…

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Q: If a regression equation is used, when are predictions not meaningful?

A: A regression equation is used in statistics to calculate the  relationship, which, exists between…

Q: If all actual values of the dependent variable lie on the estimated regression line, then the…

A: From the given information, All the actual values of dependent variable are lie on the straight…

Q: Highlight four ways of carrying out regression diagnostics

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Q: State True or False A linear regression with a[ostive correlation will have a slope that is greater…

A: Given : Statement : A linear regression with positive correlation will have a slope that is greater…

Q: True or false (Explain why.): A school administrator is running a regression of fall quarter final…

A: Given statement is: A school administrator is running a regression of fall quarter final grades (Y )…

Q: When an additional independent variable is added to a multiple regression model, UR² will increase…

A: We have given that the statement about to the multiple regression model. Here, need to find out the…

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: Describe about how to place a regression line?

A: The most common method for placing a regression line is Least squares method. In this method the…

Q: The table below gives the number of weeks of gestation and the birth weight (in pounds) for a sample…

A: In the given equation b1 is the slope of the regression line.  Data is given, X: 33 35 38 39 41  Y:…

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: The fish in my pond have mean length 10 inches with a standard deviation of 2 inches and mean weight…

A: Let X be the length of the fish in inches and Y be the weight of the fish in pounds From the given…

Q: State true or false When a correlation coefficient for a linear regression model is close to -1 ,…

A: Given : Statement : When a correlation coefficient (corr. coeff.) for a linear regression(reg.)…

Q: What is regression models?

A: To define Regression model:

Q: Write short note on regression line?

A: Introduction: Independent and dependent variables in regression: In a simple regression, the…

Q: For the population of Jellystone bears, the mean weight is 600 pounds and the mean blood pressure is…

A: Given, Mean weight is 600 pounds Mean pressure is 150 slope of SLR for response variable blood…

Q: Show that an interaction term of a dummy variable and a regressor changes the slope of a regression…

A: Please find the explanation below. Thank you

Q: The objective of a study is to produce a multiple regression model to predict sales of cotton…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

Q: Why is it necessary that the variables are significantly correlated before performing regression…

A: Coefficient correlation : In a correlation analysis, the correlation coefficient is a specific…

Q: possible estimated errors

A: Let From given values of response and predictor we have to calculate Parameter  β0 and β1We Know…

Q: A college decides to carry out a study on the time spent on video games and GPA earned.…

A: * ANSWER :-  From the given information the answer is provided as follows.

Q: Write down the formula of least square regression line?

A: Let a be the intercept and b be the slope.

Q: Suppose there is a significant correlation between variables. describe 2 instances in which it…

A: Given: The material of choice for the microelectronics applications includes the single crystal…

Q: describe how each characteristic is related to BMI. Are crude and multivariable effects similar?…

A: Every variable with less than 0.05 p-value is associated with BMI. So, Age, Total Serum Cholestrol…

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: What is the simple regression line that can best predict the sales from the advertising expenditures…

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Q: As the value of correlation coefficient increases from 0 to 1, or decreases from 0 to -1, how do the…

A: It is known that the value of the correlation coefficient lies between -1 and 1. The value 1…

Q: Discuss the advantages of using data collected from a designed experiment in performing a regression…

A: In a designed experiment the experimenter collects the data according to their requirements.

Q: The table below gives the number of weeks of gestation and the birth weight (in pounds) for a sample…

A: Given information: x y X^2 Y^2 XY 33 5 1089 25 165 35 6.8 1225 46.24 238 37 7.9 1369 62.41…

Q: Explain why the interpretation of the regression coefficients is difficult when the predictor…

A: Predictor variables:Predictor variables are also known as independent variables; these variables are…

Q: If the Pearson correlation between X and Y is negative, then the regression equation will have a…

A: Conditions based on sign with respect to the correlation coefficient and slope:   As the…

Q: What are the Standard Errors for Fixed Effects Regression?

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Q: If the estimated intercept of the regression equation is negative, we can say the estimated…

A: Let the regression equation is y= ax + b where y is dependent variable and x is independent…

Q: What are the different ways to reduce the error in least square regression?

A: The error term follows normal distribution with mean 0 and constant variance. The error term is same…

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: Suppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a…

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Q: What are the predictive errors that will occur in regression line?

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Q: The table below gives the number of weeks of gestation and the birth weight (in pounds) for a sample…

A: The regression equation is obtained below: x y X^2 Y^2 XY 33 6 1089 36 198 34 6.1 1156 37.21…

Q: In multiple regression analysis, residuals (Y- ) should be

A: Multiple linear regression (MLR) also known simply as multiple regression, is a statistical…

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.