In a regression analysis involving 25 observations, the following estimated regressionequation was developed.ŷ = 10-18x1 + 3×2 + 14×3Also, the following standard errors and the sum of squares were obtained.Sb1 = 3 Sb1 = 6 Sb1 = 7SST = 4,800 SSE = 1,296The test statistic for testing the significance of the model is ___.a. 1.369b. 18.926c. 3.703d. .730

Given observations n= 25 regression equation isŷ = 10 – 18x1 + 3x2 + 14x3 Standard errors and sum of…

Answered: In a regression analysis involving 25…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 4PPS

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
In a regression analysis involving 25 observations, the following estimated regression equation was developed.ŷ = 10 – 18x1 + 3x2 + 14x3Also, the following standard errors and the sum of squares were obtained.Sb1 = 3 Sb1 = 6 Sb1 = 7SST = 4,800 SSE = 1,296The multiple coefficient of determination is _____. a. .27 b. .73 c. .33 d. .50
In a regression analysis involving 25 observations, the following estimated regression equation was developed.ŷ = 10 – 18x1 + 3x2 + 14x3Also, the following standard errors and the sum of squares were obtained.Sb1 = 3 Sb1 = 6 Sb1 = 7SST = 4,800 SSE = 1,296If we are interested in testing for the significance of the relationship among the variables (i.e., significance of the model), the critical value of F at α = .05 is _____.
A simple linear regression was performed on 25 observations. The least squares calculations are given as: SSxy = 204, SSxx= 100, SSyy = 516. Calculate SSE. O 99.84 O 4.34 O 516 O 2.04
A least squares regression was used to estimate the relationship between the dollar price P of 45 used 2001 Audi A4 2.8L sedans with manual transmission and the number of miles M the car had been driven: R = 0.70 P = 16,958 – 0.0677M, (2,553) (0.0233) The standard errors are in parentheses. a. Does the value 16,958 seem reasonable? b. Does the value –0.0677 seem reasonable? c. Does the value 0.70 seem reasonable? d. Is the estimated relationship between M and P statistically significant at the 5 percent level? e. Should the riables be reversed, wi M on the left-hand side and P on the right- hand side? Why or why not?
A simple linear regression was performed on 25 observations. The least squares calculations are given as: SSgy = 204, SSxx= 100, SSyy = 516. Calculate the coefficient of correlation. O 0.898 O 0.334 O 0.765 O 0.516
A simple regression model developed for ten pairs of data resulted in a sum of squares of error, SSE = 125. The standard error of the estimate is 12.5 3.5 25 15.6 O 3.95
In a regression analysis of a first-order model involving 3 predictor variables and 24 observations, the following estimated regression equation was developed. ý = 12 - 15x, + 5x, + 16x3 Also, the following standard errors and the sum of squares were obtained. $6. = 3 SST = 4,800 = 6 = 7 SSE = 1,295 Find the multiple coefficient of determination. O 0.27 O 0.37 O 0.73 O 0.85
A regression model involving 8 independent variables for a sample of 69 observations resulted in the following sum of squares. SSE = 306 SST = 1800 Compute the multiple coefficient of determination. At 5% of level of significance, test to determine whether or not the model is significant.
The sum of squares error (SSE) for the above data is;

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