With two independent variables, the least-squares multiple regression equation would be
Select one:
a. Y = a + bX²
b. Y = a + b + X1 + X²
c. Y = b1X1 + b2X2
d. Y = a + b1X1 + b2X2
Answer : Option ( d )
. Y = a + b1X1 + b2X2
Where a = intercept
x1 and x2 are independent variables
With two independent variables, the least-squares multiple regression equation would be Select one: a. Y =...
(5 pts) 5. In the multiple regression equation what is the regression coefficient for the independent variable? y = Bo + B1X1 + B2x2 + E A.x B.y C.B. D.B1 E.€ (5 pts) 6. If your level of statistical significance (alpha) is 0.05, and the p-value calculated from your data is p = 0.04, you reject the null hypothesis. A. TRUE B. FALSE State your decision rule 7. Does correlation analysis provide evidence for causation? Explain your answer. (5 pts)...
Consider two variables and the least squares equation for their line y=.8565 + 0.40248 x. Regression analysis revealed the following: s = 0.517508 r = .9838 What percentage of the variation of y cannot be explained by the variation of x?
Calculator When least squares is used to fit an equation involving two or more independent variables, the method is called O a experience curve Ob. multiple regression Oc. relevant regression Od learning curve All work saved ORI
The estimated regression equation for a model involving two independent variables and 10 observations follows. y = 32.3322 + 0.7179x1 + 0.7718x2 a. Interpret b1 and b2 in this estimated regression equation - Select your answer - b2 - Select your answer - 180 and x2 b. Estimate y when x1 310 (to 3 decimals).
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A multiple regression model has _____. a. at least two dependent variables b. more than one dependent variable c. more than one independent variable d. only one independent variable
The estimated regression equation for a model involving two independent variables and 10 observations follows. y^= 30.6764 + .8162x1 + .4221x2 a. Interpret b1 and b2 in this estimated regression equation. b1 = [- Select your answer -(y changes by 0.8162 when x1 increases by 1 unit and x2 stays the same) (y changes by 0.8162 when x2 increases by 1 unit and x1 stays the same) (y changes by 0.4221 when x1 increases by 1 unit and x2 stays...
Given below are four observations collected in a regression study on two variables x (independent variable) and y (dependent variable). *NOOO a. Develop the least squares estimated regression equation. b. At 95% confidence, perform at test and determine whether or not the slope is significantly different from zero. C. Perform an F test to determine whether or not the model is significant. Let a = 0.05. d. Compute the coefficient of determination.
Q.28 Suppose you perform the following multiple regression: Y = B0 + B1X1 + B2X2 + B3X3. You find that X1 and X3 have a near perfect correlation. How would you conclude on the utility of your regression result? a. This is a problem of multicollinearity which renders the entire regression invalid. b. This is a problem of multicollinearity which nevertheless does not necessarily invalidate the utility of the model as a whole. c. This is NOT a regression problem...
Consider a multiple regression model of the dependent variable y on independent variables x1, X2, X3, and x4: Using data with n 60 observations for each of the variables, a student obtains the following estimated regression equation for the model given: y0.35 0.58x1 + 0.45x2-0.25x3 - 0.10x4 He would like to conduct significance tests for a multiple regression relationship. He uses the F test to determine whether a significant relationship exists between the dependent variable and He uses the t...