Suppose there is a significant correlation between variables. describe 2 instances in which it might be inappropriate to use the linear regression model for prediction

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: How can we use Eviews to tell if a regression suffers from first order autocorrelation and what are…

A: First-order autocorrelation: First-order autocorrelation is a type of serial correlation or…

Q: The table below gives the number of hours five randomly selected students spent studying and their…

A: Solution: Let X be the hours studying and Y be the grades. The given data is

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: The table below gives the number of hours five randomly selected students spent studying and their…

A: The equation of the line is given by,

Q: The model developed from sample data that has the form of Yhat = bo +b1X is known as the multiple…

A: The model developed from the sample data that has the form of y^=b0+b1×X is known as the multiple…

Q: Keep in mind, the correlation coefficient may or may not be statistically significant for the data…

A: Given that  By using regression analysis we get.    X Y X \cdot YX⋅Y X^2X2 Y^2Y2   0 63 0 0…

Q: Whenever the slope of a regression line is zero, the correlation coefficient will also be zero.…

A: We have to tell, If slope of regression equation becomes zero than correlation coefficient will also…

Q: A rural state wants to encourage high school graduates to continue their education and attend…

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Q: What proportion of the variability in the Salaries is explained by the multiple regression model…

A: The regression analysis is conducted using EXCEL. The software procedure is given below: Enter the…

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: Define familiar multiple regression model with a population regression function?

A: A multiple regression model is a statistical technique that uses several independent variables to…

Q: The table below gives the number of hours five randomly selected students spent studying and their…

A: In the case of bivariate distribution, let Y be the dependent and X be the independent variable. The…

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

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Q: Explain why selecting a regression equation using stepwise regression is considered superior to…

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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: 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: 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: 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: Suppose there is a significant correlation between variables. describe 2  cases under which it might…

A: 2 cases where a significant correlation between 2 variables need not make one a predictive factor…

Q: The table below gives the number of hours five randomly selected students spent studying and their…

A: The formula of correlation is,

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: A rural state wants to encourage high school graduates to continue their education and attend…

A: Concept of p-value: The p-value in hypothesis testing is the probability of obtaining a test…

Q: The table below gives the number of hours five randomly selected students spent studying and their…

A:

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

A:

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: The table below gives the number of hours five randomly selected students spent studying and their…

A:

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: The maintenance manager at a trucking company wants to build a regression model to forecast the time…

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

Q: The fish in my pond have mean length 12 inches and mean weight 5 pounds.  The correlation…

A: In this case, weight is the dependent variable (y) and length is the independent variable (x).

Q: The correlation between first year college GPA and high school GPA is 0.683. If a simple linear…

A: Given information: The correlation between first year college GPA and high school GPA is 0.683. If a…

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: 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: The following table shows the starting salary and profile of a sample of 10 employees in a certain…

A: Here, the dependent variable is, Starting salary and the independent variables are GPA,years of…

Q: A rural state wants to encourage high school graduates to continue their education and attend…

A: Solution: From the given information, the regression equation is

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: : The objective of a study is to produce a multiple regression model to explanatory variables are…

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

Q: Find the value of the coefficient of determination. Round your answer to three decimal places.

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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: IS the following statment true or false, please explain why    For each x term in the multiple…

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Q: A social scientist collects information about counties in California and finds that the correlation…

A: Given data Corr. b/w avg. income of the country and a rating of healthcare quality in the country is…

Q: Conduct an appropriate test to determine whether variable gender is statistically significant at 5%.…

A: Instruction : "i need Part E solution"   Model 1 data is given below :

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.