A multiple regression of y on x1, and x2 produces the following results: 4 +0.4x1 +0.9x2, R2-8/60...
4. Testing for significance Aa Aa 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: 0.04 + 0.28X1 + 0.84X2-0.06x3 + 0.14x4 y She would like to conduct significance tests for a multiple regression relationship. She uses the F test to determine whether a significant relationship exists...
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...
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...
Suppose we have the following values for a dependent variable, Y, and three independent variables, X1, X2, and X3. The variable X3 is a dummy variable where 1 = male and 2 = female: X1 X2 X3 Y 0 40 1 30 0 50 0 10 2 20 0 40 2 50 1 50 4 90 0 60 4 60 0 70 4 70 1 80 4 40 1 90 6 40 0 70 6 50 1 90 8 80 ...
Use multiple linear regression Y = birthweight (grams) X1 = Age of mother and X2= Weight gained during pregnancy. Keep alpha 0.05. a) give null hypothesis b) give alternative hypothesis
A real estate analyst has developed a multiple regression line, y = 60 + 0.068 x1 – 2.5 x2, to predict the market price of a home (in $1,000s), using two independent variables, x1 = the total number of square feet of living space, and x2 = the age of the house in years. With this regression model, what is the predicted price of a 10-year old home with 2,500 square feet of living space? Dependent / Response Variable Independent...
MULTIPLE LINEAR REGRESSION
Write a paragraph about what you understand from the below
scatter plot matrix A, B, C. Include significant information.
Scatter Plot for Income (Y) vs Age (X1) Scatter Plot for Income (Y) vs Life Expectancy (X2) 100 90 80 70 60 50 40 30 - 20 10 60 50 40 30 20 10 y 0.0012x+4.1682 R2 0.4281 y -3E-05x +41.749 R2 0.0027 10000 20000 30000 40000 50000 60000 70000 80000 10000 20000 30000 40000 50000 60000 70000...
are the assumptions behind any multiple regression model? (b). For a multiple regression model Y-Bo + βιΧ. + β2X2 +β3Xs + € where is the error term, to represent the relationship between Y and the four X- variables. We got the following results from the data: Source Sum of Squares degrees of freedom mean squares Regression 1009.92 Residual Total 2204.94 34 And also you are given: Variable X1 Σ.tx-xr 123.74 72.98 12.207 -Pr values -11.02 5.13 X2 X3 Y-intercept is...
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 29 13 94 46 10 109 24 17 112 50 17 178 40 6 94 52 19 176 75 8 171 36 13 118 60 13 143 76 17 212 Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary. a. Develop an estimated regression equation relating y to x1 . y = __ +...
SUMMARY OUTPUT Regression Statistics Multiple R 0.9448 R2 0.8927 Adj. R2 0.8853 SY.X 133.14 N 32 ANOVA df SS MS F P-value Regression 2 4277160 2138580 120.6511 0.0000 Residual 29 514034.5 17725.33 Total 31 4791194 Coeff. Std. Err. t Stat P-value Lower 95% Upper 95% Intercept -1336.72 173.3561 -7.71084 0.0000 -1691.2753 -982.16877 X1 12.7362 0.90238 14.114 0.0000 10.890623 14.5817752 X2 85.81513 8.705757 9.857286 0.0000 68.009851 103.620414 With respect to the null hypothesis for...