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Q: fix or correct my answers if there is any error and give me the correct using the format

A: 1. **Linearity of the estimator \( \hat{\beta} \) with respect to \( Y \):**    The estimator \(…

Q: Which of the following statements is correct about residuals? We find the regression line of best…

A: Given some options about residuals and we have to choose which among the given options are correct.

Q: x and 23 ; 88 76 ; 305 27 ; 105 64 ; 240 12 ; 80 51 ; 205 33 ; 120 40 ; 104       When regression…

A: Excel Procedure: Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y under…

Q: When regression analysis is performed according to the given x and y values (y = ax + b), which one…

A: Here , first to find the regression equation y=ax+b Our aim is to find the slope of the regression…

Q: After running a linear regression with 1-factor, with the market premium, if beta is negative, then?…

A: A linear regression is performed with 1-factor, with the market premium.

Q: A7 Assume that least squares regression is used to fit a regression line y = â + 3x to data (xi, yi)…

A: Given regression equation is,  y = a+Bx and B= (X’X)-1X’Y where (X’X)-1 is equal to 1/ Σ(Xi-x̄)2…

Q: Living Arrangements A recent study of 100 individuals found the following living arrangement for men…

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Q: (a) Observe it scatter plot. (b) Approximate the correlation between x and y coordinates. (c) Find…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Rhino viruses typically cause common colds. In a test of the effectiveness of echinacea, 43 of the…

A: Solution To find the confidence interval we will use the z distribution i.e. z critical value.

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Q: The research shows that both X₁ and X2 are theoretically valid, meaning that they both belong in the…

A: Given information: The information about multiple linear regression model is given.

Q: 1) The following data is given: 0.1 0.1 X y 0.2 0.37 0.3 0.76 0.4 1.21 Use Least- Squares Regression…

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Q: You are conducting a test of independenc for the claim that there is an association between the row…

A: The following table is given in the question:   X Y Z Row total A 8 48 31 87 B 18 56 23 97…

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A: Given data, X Y X*Y X*X 14 124 1736 196 17 165 2805 289 13 110 1430 169 18 220 3960 324…

Q: 26 - x and 23 ; 88 76 ; 305 27 ; 105 64 ; 240 12 ; 30 51 ; 205 33 ; 120 60 ; 104       When…

A: The simple linear regression equation uses the straight line to relate the response variable with…

Q: nd the least squares regression line for the data points. (Let x be the independent variable and y…

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Q: The table below shows enrollment,t in millions of people, in private colleges in the United States…

A: Hi, since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Consider multiple regression predicting Y from X1, X2, and X3. If we use hierarchical regression and…

A: Basically in Hierarchical regression , our aim is to show if variables of our interest explain a…

Q: (New Question) Consider the following regression equation with panel data: Yt = Bo + B1 Xt + y½ D2;…

A: As, the dummy variables either could be 1 or 0. Then, the coefficients of these dummy variable would…

Q: A6 Assume that least squares regression is used to fit a regression line y = â + 3x to data (xi, yi)…

A: We convert the given expressions into the general expressions used in mutiple regression

Q: A JMP regression model is made for a data set, where the (xy) data points are (11, 7), (13, 10),…

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Q: x and 45         210 67         330 12         80 9             29 99         500 15            50…

A: Given data, X Y X*Y X*X 45 210 9450 2025 67 330 22110 4489 12 80 960 144 9 29 261 81 99…

Q: The following table shows the marks in statistics and economics for ten students. Fit a least square…

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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.