Questions tagged [regression]

In statistics, regression analysis is a statistical process for estimating the relationships among variables. It includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables (or 'predictors').

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10 views

Which values to assign to a quantified dummy variable

I am working on a data set from kaggle (https://www.kaggle.com/spscientist/students-performance-in-exams) about how student performance relates to some explanatory variables, such as if the school ...
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68 views

How to find $\phi$, that denotes the correlation of signals among informed traders?

Since I do not have an answer on Quantitative Finance in my question I cross-post here the problem to tag some other categories The following assumptions are part of the paper of Back, Chao and ...
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Using the estimate to find change in regressor of multiple regression

After running the OLS, this is the model I got: TEST SCORE = 3920.87 - 0.1926(AGE) + 3.5108(STUDY) + 16.4262(INCOME) How would you determine the percent change in AGE when there is a one-unit change ...
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Log-Linear Model

I know that the log-linear model shows the percent change in y if there is a one-unit change in x but how would you solve for it the other way to show a percent change in x if there is a one-unit ...
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15 views

R's felm() fixed effects vs. factor() within lm()

I am wondering why using felm's fixed effect option versus using the factor() function is different? I was under the impression they were one in the same? I am running a panel regression where i is ...
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40 views

Difference in interpretation of log-lin coefficients with binary variable

Consider the model: $$y_i=\beta_0+\beta_1D_1+\beta_2D_2+u_i$$ Where $D_1=\{0,1\}$ and $D_2=\{0,1\}$ are binary (dummy) variables, and $y_i$ is a continuos variable in levels. In this model, for ...
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graph of dependent variable after years of restructuring in panel data

i'm not very able to use stata. For my thesis, I have a panel data(1970-2017) for different countries and a lot of variables. In this dataset, there is a dummy (dhairendH) that is equal to one in the ...
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1answer
21 views

Age effect when controling for individual fixed effects and time fixed effects

I have a individual-by-year panel. Although age is varying within an individual, its variation is fully absorbed when I include individual fixed effects and time fixed effects. This is because each ...
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1answer
37 views

Logit/Probit with numbers different than 0 or 1?

I am trying to find an econometric model that helps me to answer the following. I would like to measure how much the increase in the cost of a production factor (my X) shifts the supply curve of a ...
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Is this weighted least squares or just weighting the dependent variable

I am a little confused as to what the following line means. Do the authors mean they run a weighted least squares using the sample size as weights, or just weight the dependent variable using the ...
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Why would regression coefficients be different on a subsample?

If I'm running a linear regression for example, and I take out some points, wouldn't the same line/plane still fit the data? If not, wouldn't that show that the data doesn't have a linear relationship?...
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How to design / interpret a difference in differences regression [closed]

I have a set of active scientists and editors. I want to study the effect that becoming an editor has on the different outcomes of a scientist (such as citation count and publication rate). I decided ...
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Obtain the OLS estimators of the simple model from the multiple model

I'm looking for the answer to this question: In the context of the simple regression model (two variables) we know that the estimators of OLS are given from: $\hat{\beta}_{1}=\frac{Cov(x_i.y_i)}{Var(...
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1answer
88 views

Calculating natural rate of unemployment

I have sample data on unemployment rate in a market and am looking to calculate the natural unemployment rate. The natural unemployment rate I obtained is constant over a time period, which is not a ...
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7 views

Non Linear regression to obtain diminishing marginal effect / elasticity

I am working with some real estate data on housing units. For a given market, I have data on occupied units, rents, and control variables such as population, demographics, income levels etc. I'd like ...
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Question on estimating elasticity and cross elasticity with log-log regression model

For a regression model: Y = B0 + B1.X + B2.X2 + U, B1 and B2 is the marginal effect on ...
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Compute the inverse of a conditional quantile regression output

Short Clarification : This question was asked at the Cross Validated SE (Question at CV) but one highlighted in the comments, that this might be more applicable to this SE due to its economic topic. ...
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Using Ordinal (Star Rating) variables to predict outcomes in Log lin regressions + Taking Median significant coefficients of multiple regressions

Framing the regression I am attempting to analyze the effects of several variables on clicks for Google My Business listings. Currently I'm using a Log-Lin regression model to predict the % increase ...
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1answer
56 views

Log log regression with fixed effects and cross elasticity of demand

I have a time series of units sold, and price. I'd like to calculate elasticity of demand wrt to price and a few other variables, some of them are fixed effects. ...
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18 views

Determining a variable from empirical results obtained from regression analysis

For context, I am trying to estimate the excess supply and demand in the Commercial Real Estate market and the rental price adjustment mechanism following the change in vacancy. I found a paper titled ...
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67 views

How to interpret coefficients in a dynamic OLS model?

I am trying to understand how to interpret the dynamic and static effect from coefficients in regression models. $GDP\_growth\_rate_{t,i} = \beta_1GCF_{t,i} +\beta_2GCF_{t-1,i}+\beta_3GCF_{t-2,i} +\...
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1answer
47 views

Regression approximation for the rate of change in occupancy rate of residential market with respect to price

I have historical data on occupancy rates for a given neighborhood, along with characteristics and other local economic variables. I am looking to estimate the regression equation with occupancy rates ...
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1answer
25 views

How do 'econometric' explanations differ from 'economic' ones?

I am interpreting some coefficients of a regression model and have been asked to, first, give an 'economic' explanation and then an 'econometric' explanation as to why coefficients differ as more ...
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1answer
81 views

How do I obtain a correlation between two variables?

Can I differentiate a quadratic regression model formula with the form $$Y_i=\beta_0+\beta_1 X_{1i} +\beta_2 X_{1i}^2+\epsilon_i$$ (added to this formula would be other control variables e.g dummy ...
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53 views

Interpretation of Difference-in-Differences Regression Results when Only the DID Coefficient is Significant

I have a standard DID regression of the form: Y= β0 + β1*[Time] + β2*[Treatment] + β3*[Time*Treatment] + ε where Time is a dummy equal to 1 for period after policy change and Treatment is a dummy for ...
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1answer
55 views

Difference-in-Difference (DID) Regression with Non-Stationary (but Cointegrated) Treatment and Control Groups

I would like to run a DID regression between two periods where each period spans multiple years. For example: Period 1: 1970Q1-1990Q4 Period 2: 1991Q1-2010Q4. My treatment and control variables are ...
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1answer
19 views

How can you find all parameter estimates are statistically significant but without performing any sophisticated calculations?

I have a question that contains a list of parameter estimates and their related standard errors. It then goes on to ask that I explain how I know all parameter estimates are statistically significant ...
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1answer
47 views

How to properly interpret logged interaction variables

I have the following regression to interpret elasticity of demand: $$\ln(demand) = const - 0.6*\ln(fare)$$ I understand that a 1% increase in fare results in a 0.6% decrease in demand I want to add ...
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1answer
49 views

How to interpret this regression coefficient?

I am performing a simple single variate regression on the variables crime rate (denoted by crrate) and the probability of getting arrested (denoted by prarrest). To be precise, the variables are ...
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40 views

Analytical approach to estimate equilibrium price for Real Estate Property

I am looking to calculate the equilibrium price, i.e an optimal price that I can set without affecting demand and maximize revenue. I've gathered historical data: occupancy rates, asking rents for ...
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1answer
24 views

Using margins after probit estimation to equal probabilities between almost identical individuals

I'm considering a Probit model for the probability that a student will finish the course based on their hours of study, age, sex, origin, how they passed the previous course and labor market situation ...
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1answer
19 views

Linear Regressions: When to expect the residuals to NOT have conditional mean 0?

Suppose that $Y, X,$ and $U$ are random variables such that the regression $$Y=\beta_0+\beta_1X+U$$ is the best linear predictor of $Y$ given $X$. My question is, when can we expect $E(U|X)=0$? I ...
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Controls for a GDP per capita model

I'm constructing a model to test the relationship of some different factors on GDP per capita in a single year using simple OLS regression. Most studies I've found on economic growth simply use the ...
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1answer
21 views

Demand-side effects meaning

I found the term of demand-side effects in the abstract of the following paper: journals-sagepub-com/ DOI/abs/10.1177/0974930619872083 . What does that mean? Can you explain it to me please? I need ...
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Social-Network Peer Effect Regression Analysis

I have locally transformed model from Bramoullé 2009 to be estimated for regression estimation $\begin{equation} ( \mathrm{{I}} - {G}_{l}^{*}){y}_{l} = \beta_2( \mathrm{{I}} - {G}_{l}^{*}) {G}_{l}^...
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diff and diff with multiple time periods - test parallel trend assumption

I am performing this resgression: $$ y_{it} = \beta_{0} + \beta_{1}\text{Treat}_{i} + \sum_{j \neq k} \lambda_{j} \text{Year}_{t=j} + \sum_{j \neq k} \delta_j \left( \text{Treat}_i \cdot \text{Year}_{...
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65 views

Negative elasticity of substitution in a CES production function

I have empirically estimated the elasticity of substitution parameter in the following model: $$Y_t=[(A_1L_tK_{t})^{\rho} +(A_2M_{t})^{\rho}]^\frac{1}{\rho} $$ here, $Y_t$ is output, $A_i$ is a ...
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1answer
50 views

model design - fixed effects model for paired differences

I have two panels. One panel that consists of an economic indicator variable across firms and years. The second panel consists of the same economic indicator variable across the same firms and years. ...
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How to determine intergenerational income elasticity over more than two generations?

I do have income data for individuals from different families over three generations (y, yparents, ygrandparents). To determine the two-generational social mobility, I run a simple linear regression: ...
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2answers
44 views

Higher interest rates and default probabilities for longer loan term

I am analyzing LendingClub data with two available loan terms: 36 and 60 months. In the course of my analysis I have spotted that both the interest rates associated with each loan and the default ...
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1answer
23 views

Understanding General Least Squares

From what I understand, we have our OLS estimator in matrix form which is, $$\beta_{OLS} = (X'X)^{-1}X'Y$$ What we want to do is transform this, as the assumption that we have constant variance is ...
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How do I convert change over a ten-year period into annual growth rate?

I am working on an econometrics project where I need to find the impact of climate change on agriculture in India. The project requires me to use an existing econometric model from some peer reviewed ...
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2answers
53 views

Difference between a multiple regression and several linear regressions?

Context: I'm an undergrad who took Intermediate Econometrics more than a year ago and I'm trying to brush up on some of the skills. As I was reviewing multiple regression, I realized I didn't quite ...
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1answer
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Does anyone recognize the shape of this residuals vs. fitted plot?

Hello Stack Exchange community, I'm running a regression on a survey dataset which consists of 45,381 individuals in 36 countries using Stata. My model is specified as: ...
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1answer
51 views

Hedonic regression and attribute-shares in house prices

Given a house with price $P$ and attributes $h_1,\dots,h_n$, I want to estimate how much each attribute costs as a percentage of house price $P$. In other words, if we express house price as the sum ...
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26 views

Value relevance, informative information, Financial statements, IFRS 9

What are the theories that say that the disclosures in the annexes of the report and accounts are less relevant than the figures in the financial statements, is there anything? I've been looking for ...
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2answers
37 views

Meaning of regression coefficients

I am having some trouble understanding exactly what is meant by the "true" Regression coefficients. Let's say it is stated that "the true regression coefficients are given as $y=a+bx+e$ where the ...
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1answer
38 views

Logistic regression: Equation for marginal effect at the mean

I am estimating the following logistic regression (binomial family) by maximum likelihood: $$ \ln\left(\frac{Y}{1-Y}\right) = \beta_{0} + \beta_{1}D + \beta_{2}X + \epsilon$$ where D is a dummy. ...
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1answer
34 views

Forecasting quarterly EUR/USD exchange rate

My aim is to forecast the one-quarter ahead EUR/USD exchange rate. I have constructed a regression model with the following as explanatory variables: exchange rate in the previous quarter, EUR/USD ...
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Measuring time discount in scheduled services: is there a literature in empirical economics?

Prices might be different, for the same service at some date, if you try to acquire the service two weeks in advance and again at a closer date (e.g. two days prior to the scheduled date), such as ...