A multiple regression analysis produced the following tables. Summary Output Regression Statistics Multiple R 0.978724022 R Square 0.957900711 Adjusted R Square 0.952287472 Standard Error 67.67055418 Observations 18 ANOVA df SS MS F Significance F Regression 2 1562918.941 781459.5 170.6503 4.80907E-11 Residual 15 68689.55855 4579.304 Total 17 1631608.5 Coefficients Standard Error t Stat P-value Intercept 1959.709718 306.4905312 6.39403 1.21E-05 X1 -0.469657287 0.264557168 -1.77526 0.096144 X2 -2.163344882 0.278361425 -7.77171 1.23E-06 Using α = 0.01 to test the model, these results indicate that ____________.

A multiple regression analysis produced the following tables. Summary Output Regression Statistics Multiple R 0.978724022 R Square 0.957900711 Adjusted R Square 0.952287472 Standard Error 67.67055418 Observations 18 ANOVA df SS MS F Significance F Regression 2 1562918.941 781459.5 170.6503 4.80907E-11 Residual 15 68689.55855 4579.304 Total 17 1631608.5 Coefficients Standard Error t Stat P-value Intercept 1959.709718 306.4905312 6.39403 1.21E-05 X1 -0.469657287 0.264557168 -1.77526 0.096144 X2 -2.163344882 0.278361425 -7.77171 1.23E-06 Using α = 0.01 to test the model, these results indicate that ____________.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 6SGR

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Question

A multiple regression analysis produced the following tables.

Summary Output
Regression Statistics
Multiple R	0.978724022
R Square	0.957900711
Adjusted R Square	0.952287472
Standard Error	67.67055418
Observations	18

ANOVA
	df	SS	MS	F	Significance F
Regression	2	1562918.941	781459.5	170.6503	4.80907E-11
Residual	15	68689.55855	4579.304
Total	17	1631608.5

	Coefficients	Standard Error	t Stat	P-value
Intercept	1959.709718	306.4905312	6.39403	1.21E-05
X₁	-0.469657287	0.264557168	-1.77526	0.096144
X₂	-2.163344882	0.278361425	-7.77171	1.23E-06

Using α = 0.01 to test the model, these results indicate that ____________.

Definition Definition Statistical method that estimates the relationship between a dependent variable and one or more independent variables. In regression analysis, dependent variables are called outcome variables and independent variables are called predictors.

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