Below you are given a partial computer output from a multiple regression analysis based on a...

Question

Question

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coeff

The interpretation of the coefficient of Xi is that O a one unit increase in xy will lead to a 3.682 unit decrease in y when

math algebra

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Answer is option A.

The value of coefficient of x1 is given as -3.682. -ve sign means, as the value of x1 increases, the value of y decreases. When we are trying to see the change in y w.r.t x1, all other variables should be held constant.

So, it means that a one uint increase in x1 will lead to a 3.682 unit decrease in y when all other varibales are held constant.

Add a comment

Answer 2

Similar Homework Help Questions

1 pts Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 obs...

1 pts Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Standard Error Coefficients 4.425 Constant 12.924 2.630 -3.682 X1 45.216 12.560 X2 The interpretation of the coefficient of x is that a one unit increase inx1 will lead to a 3.682 unit decrease in x2 when all other variables are held constant. The unit of measurement for y is required to interpret the coefficient a one unit change...
Below you are given a partial computer output from a multiple regression analysis based on a...

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients Standard Error Constant 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square F Regression 4853 2426.5 Error 485.3 We want to test whether the parameter β1 is significant. The test statistic equal a. -1.4. b. -5.0. c. 1.4. d. 3.6.
Question 1 (-110 Below you are given a partial computer output from a multiple regression analysis...

Question 1 (-110 Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. Coefficients Standard Error Constant 12.924 4.425 -3.682 2.630 x2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square Regression 4853 2426.5 Error 485.3 Carry out the test to determine if there is a relationship among the variables at the 5% level. The null hypothesis should be rejected not be rejected...

Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16...

Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations. ANOVA df SS MS F Regression 4,853 2,426.5 Residual 485.3 Coefficients Standard Error Intercept 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 Carry out the test to determine if there is a relationship among the variables at the 5% level. The null hypothesis should ______. a. be revised b. not be rejected c. be rejected d. None of these answers are correct.
Exhibit 15-6 Below you are given a partial computer output based on a sample of 16...

Exhibit 15-6 Below you are given a partial computer output based on a sample of 16 observations. Coefficient Standard Error Constant 12.924 4.425 X1 -3.682 2.630 X2 45.216 12.560 Analysis of Variance Source of Variation Degrees of Freedom Sum of Squares Mean Square F Regression 4,853 2,426.5 Error 485.3 Refer to Exhibit 15-6. The estimated regression equation is Refer to Exhibit 15-6. The interpretation of the coefficient of X1 is that Refer to Exhibit 15-6. We want to test whether...
Table 4 Regression Model Y = α X1 + β X2 Parameter

Table 4 Regression Model Y = α X1 + β X2 Parameter Estimates Coefficient Standard Error Constant 12.924 4.425 X1 -3.682 2.630 X2 45.216 12.560 Analysis of Variance Source of Degrees Sum of Mean Variation of Freedom Squares Square F Regression XXX 4,853 2,426.5 XXX Error XXX 485.3 Find above partial statistical output...

Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16...

Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations. ANOVA df SS MS F Regression 4,853 2,426.5 Residual 585.3 Coefficients Standard Error Intercept 12.924 4.425 x1 -3.682 1.630 x2 45.216 22.560 A) The interpretation of the coefficient of x 1 is that _____. B) We want to test whether the parameter β 1 is significant. The test statistic equals _____. C) The critical t value that is used to test an individual parameter...
Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16...

Exhibit 15-6 Below you are given a partial Excel output based on a sample of 16 observations. ANOVA df SS MS F Regression 4,853 2,426.5 Residual 585.3 Coefficients Standard Error Intercept 12.924 4.425 x1 -3.682 1.630 x2 45.216 22.560 A) The degrees of freedom for the sum of squares explained by the regression (SSR) are _____. B) The sum of squares due to error (SSE) equals _____. C) The test statistic used to determine if there is a relationship among...
Below you are given a partial computer output based on a sample of 21 observations, relating...

Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable (x) and a dependent variable (y). Coefficient Standard Error 1.181 Intercept 30.139 0.022 X -0.252 Analysis of Variance SOURCE SS Regression 1,759.481 259.186 Error Develop the estimated regression line At a 0.05, perform an F test. Determine the coefficient of determination. a. b. c. d. Determine the coefficient of correlation.

Below you are given a partial computer output based on a sample of 8 observations, relating...

Below you are given a partial computer output based on a sample of 8 observations, relating an independent variable (x) and a dependent variable (y). Coefficient Standard Error 7.032 0.184 t-Stat -1.3456 4.1793 Intercept Analysis of Variance SOURCE Regression Error (Residual) 400 138 a. Develop the estimated regression line. b. At a = 0.05, perform an F test. C. Determine the coefficient of determination.

Below you are given a partial computer output from a multiple regression analysis based on a...

Homework Answers