The ordinary least squares method of estimation minimizes the estimated slope and intercept. True or False?

Question

Question

The ordinary least squares method of estimation minimizes the estimated slope and intercept.

True or False?

math Statistics-And-Probability

Answer 1

Answer #1

False

In the method of least square we minimize the sum of residual square.therefore the mentioned statement

"The ordinary least squares method of estimation minimizes the estimated slope and intercept. " is false .

Answer 2

Similar Homework Help Questions

The method of least squares picks the slope and intercept of the sample regression equation by...

The method of least squares picks the slope and intercept of the sample regression equation by minimizing SSE. True False
The least squares method is used to determine an estimated regression line that minimizes the squared...

The least squares method is used to determine an estimated regression line that minimizes the squared deviations of the data values from the line. True False
When we apply the ordinary least squares to estimate the slope and intercept of a simple...

When we apply the ordinary least squares to estimate the slope and intercept of a simple linear model, the sum of all the residuals will be Select one: equal to zero. o greater than zero. o less than zero. o less than or equal to zero.

The least squares method is applicable only in situations where the estimated regression line has a...

The least squares method is applicable only in situations where the estimated regression line has a positive slope. True or False
Question 3 1 pts Select the best statement related to the estimation of the least squares...

Question 3 1 pts Select the best statement related to the estimation of the least squares regression line O The least squares regression intercept and slope is determined based on the optimal combination which will minimize the sum of absolute horizontal distances between the observations and the regression line O The least squares regression intercept and slope is determined based on the optimal combination which will minimize the sum of squared vertical distances between the observations and the regression line....
Question 19 3 pts The ordinary least squares estimator of a slope coefficient is unbiased means...

Question 19 3 pts The ordinary least squares estimator of a slope coefficient is unbiased means if repeated samples of the same size are taken, on average the OLS estimates will be equal to the true slope parameter O the mean of the sampling distribution of the slope coefficient is zero. O the estimated slope coefficient will always be equal to the true parameter value. the estimated slope coefficient will get closer to the true parameter value as the size...

Question 4. Least squares solution [6 marks] The ordinary least squares estimate for the slope in...

Question 4. Least squares solution [6 marks] The ordinary least squares estimate for the slope in simple linear regression gives the following: B = (2=1 Xiyi) – nzy (2=127) - na Show that this is the same as Bi 2=1(ki – 7)(yi — ) i=1(xi – T)2 in where n n 1 = - n Xi, y= Yi n i=1 i=1
Find the estimator beta_hat in multivariate linear regression. Multivariate Linear Regression Parameter Estimation Ordinary Least Squares...

Find the estimator beta_hat in multivariate linear regression. Multivariate Linear Regression Parameter Estimation Ordinary Least Squares The ordinary least squares (OLS) problem is n m BER(p+1)×m BERP+1)xm に1 に1 where || . || denotes the Frobenius norm. The OLS solution has the form where bx and yk denote the k-th columns of B and Y, respectively.
In the multiple linear regression model with estimation by ordinary least squares, why must we make...

In the multiple linear regression model with estimation by ordinary least squares, why must we make an analysis of the scatter plot indices 1, 2,. . . , n and with the residuals ei for observations that are somehow ordered (for example, in time)? And what is the purpose of analyzing the sample autocorrelation function?

(i) Show that the intercept and the slope of the line that minimizes the sum of...

(i) Show that the intercept and the slope of the line that minimizes the sum of the squared orthogonal distances are obtained by finding Bo and Bi that minimize the function: