Question

In: Statistics and Probability

income (Y in $1,000s), GPA (X1), age (X2), and the gender of the individual (X3; zero...

income (Y in $1,000s), GPA (X1), age (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people.

Coefficients Standard Error
Intercept 4.0928 1.4400
X1 10.0230 1.6512
X2 0.1020 0.1225
X3 -4.4811 1.4400
ANOVA
DF SS MS
Regression 360.59
Error 23.91

a. use Excel/XLSTAT to calculate p-value for the coefficient of X1. Is it significant? α = 0.05. Next, the T table and interpolate the p-value

b. use Excel/XLSTAT to calculate p-value for the coefficient of X2. Is it significant? α = 0.05. Next, the T table and interpolate the p-value

c. use Excel/XLSTAT to calculate p-value for the coefficient of X1. Is it significant? α = 0.05. Next, the T table and interpolate the p-value

d. perform an F test

Solutions

Expert Solution


Related Solutions

Does the input requirement set V (y) = {(x1, x2, x3) | x1 + min {x2,...
Does the input requirement set V (y) = {(x1, x2, x3) | x1 + min {x2, x3} ≥ 3y, xi ≥ 0 ∀ i = 1, 2, 3} corresponds to a regular (closed and non-empty) input requirement set? Does the technology satisfies free disposal? Is the technology convex?
Selling Price (Y) Square Footage (X1 ) Bedrooms (X2 ) Age (X3 ) 84,000 1670 2...
Selling Price (Y) Square Footage (X1 ) Bedrooms (X2 ) Age (X3 ) 84,000 1670 2 30 79,000 1339 2 25 91,500 1712 3 30 120,000 1840 3 40 127,500 2300 3 18 132,500 2234 3 30 145,000 2311 3 19 164,000 2377 3 7 155,000 2736 4 10 168,000 2500 3 1 172,500 2500 4 3 174,000 2479 3 3 Determine a correlation matrix for the above variables. Indicate if any collinearity exists between or among the independent variable....
(1) z=ln(x^2+y^2), y=e^x. find ∂z/∂x and dz/dx. (2) f(x1, x2, x3) = x1^2*x2+3sqrt(x3), x1 = sqrt(x3),...
(1) z=ln(x^2+y^2), y=e^x. find ∂z/∂x and dz/dx. (2) f(x1, x2, x3) = x1^2*x2+3sqrt(x3), x1 = sqrt(x3), x2 = lnx3. find ∂f/∂x3, and df/dx3.
4.Maximize: Z = 2X1+ X2-3X3 Subject to: 2X1+ X2= 14 X1+ X2+ X3≥6 X1, X2, X3≥0...
4.Maximize: Z = 2X1+ X2-3X3 Subject to: 2X1+ X2= 14 X1+ X2+ X3≥6 X1, X2, X3≥0 Solve the problem by using the M-technique.
(a) Consider three positive integers, x1, x2, x3, which satisfy the inequality below: x1 +x2 +x3...
(a) Consider three positive integers, x1, x2, x3, which satisfy the inequality below: x1 +x2 +x3 =17. (1) Let’s assume each element in the sample space (consisting of solution vectors (x1, x2, x3) satisfying the above conditions) is equally likely to occur. For example, we have equal chances to have (x1, x2, x3) = (1, 1, 15) or (x1, x2, x3) = (1, 2, 14). What is the probability the events x1 +x2 ≤8occurs,i.e.,P(x1 +x2 ≤8|x1 +x2 +x3 =17andx1,x2,x3 ∈Z+)(Z+...
Let X1, X2, X3 be continuous random variables with joint pdf f(X1, X2, X3)= 2 if...
Let X1, X2, X3 be continuous random variables with joint pdf f(X1, X2, X3)= 2 if 1<X1<2 -1<X2<0 -X2-1<X3<0                         0 otherwise Find Cov(X2, X3)
Using Y as the dependent variable and X1, X2, X3, X4 and X5 as the explanatory...
Using Y as the dependent variable and X1, X2, X3, X4 and X5 as the explanatory variables, formulate an econometric model for data that is (i) time series data (ii) cross-sectional data and (iii) panel data – (Hint: please specify the specific model here not its general form).
Let X1,X2,X3 be i.i.d. N(0,1) random variables. Suppose Y1 = X1 + X2 + X3, Y2...
Let X1,X2,X3 be i.i.d. N(0,1) random variables. Suppose Y1 = X1 + X2 + X3, Y2 = X1 −X2, Y3 =X1 −X3. Find the joint pdf of Y = (Y1,Y2,Y3)′ using : Multivariate normal distribution properties.
Sales price, y (thousands) Square feet, x1 Rooms, x2 Bedrooms, x3 Age, x4 53.5 1008 5...
Sales price, y (thousands) Square feet, x1 Rooms, x2 Bedrooms, x3 Age, x4 53.5 1008 5 2 35 49 1290 6 3 36 50.5 860 8 2 36 49.9 912 5 3 41 52 1204 6 3 40 55 1204 5 3 10 80.5 1764 8 4 64 86 1600 7 3 19 69 1255 5 3 16 149 3600 10 5 17 46 864 5 3 37 38 720 4 2 41 49.5 1008 6 3 35 103 1950...
Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>=...
Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>= x1y1+2x2y2+3x3y3    is an inner product
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT