Consider models with a form like lm(response ~ 1, data=whatever). What will the R2 for such a model always be? Explain why.
R square will be very low (~ 0 ) because this model will work only for y = c .
The R square quantify the strength of linear relationships and since there is no relation between x and y . So , r square will be approximately 0 .
Consider models with a form like lm(response ~ 1, data=whatever). What will the R2 for such...
PSTAT 126 meaning a Linear Regression course. 3. Consider three models for a response and two predictors xil and xi2, with additive errors єї і.hd. N(0. ơ2). (a) For each of the above models, explain why it is not a linear model in the sense of PSTAT 126. (b) Propose a change to model (M1) so that it becomes a linear model in the sense of PSTAT 126. (c) Write down the likelihood for n data points (xn, Yi) from...
Two linear regression models are fitted using software and below is their R2 and adjusted R2 values. Which of the two models fits the data better? Why does it fit the model better? In order from Model, R specification, R2, Adjusted R2 Model Model 1 : Y ∼ X1 + X3, 0.91, 0.84 Model 2 : Y ∼ X1 + X2, 0.88, 0.86
Consider the following IS-LM model: C = 218 +0.44YD 1 = 148 +0.19Y-1,0211 G = 283 T = 226 i = 0.04 The IS equation is determined to be Y = 1,485.30 - 2,759.46i. The LM equation is given as i = 0.04. Using the IS and LM equations, the equilibrium real output, Y. is (Round your response to the nearest integer.) Using the IS-LM model, the equilibrium value of consumption, C, is . (Round your response to the nearest...
a) for each of the above models, explain why it is not a linear model b) Prpose a change to model M1 so that it becomes linear c) Write down the likelihood for n data points (xi1, Yi) from model (M2) Consider three models for a response Y, and two predictors a and , with additive errors 0,02).
Using the IS-LM and Aggregate Supply-Aggregate Demand (AS-AD) models of Chapter 12 with a flat short-run AS curve (that is, completely sticky prices), suppose the economy is at the natural rate of unemployment and so, at long-run equilibrium. Suddenly, taxes are reduced with no change in government spending. Tell me (or show on a graph) what happens to the IS and/or LM curves. Show on a different graph what happens on the AS-AD diagram in the short-run (drawing in the...
IS-LM Model- Consider an economy in the short-run with the price level P fixed at 1 (P = 1). Now we have I = I(r), a financial sector and taxes a function of income. C = 100 + 0.75 * (Y –T)I = 750 –20 * r T = -40 + (1/3)Y G = 1000; Y = C + I + G (M/P)d= 0.4 * Y –48 * i Ms= 1,200(M/P)d= Ms/P Suppose investors and bond traders expect inflation, πe=...
Question 1: Make models of cyclobutane and cyclohexane and then carefully draw these models a) Does anything become apparent to you when you are making one model compared to the other? b) Describe the shapes of these molecules and indicate what types of strain might be present in each. c) Are either of your models "flat" like a hexagon or a square? Question 2: Make a model of cyclopentane. a) Is your model flat like a pentagon? b) Why or...
Question 1: Make models of cyclobutane and cyclohexane and then carefully draw these models a) Does anything become apparent to you when you are making one model compared to the other? b) Describe the shapes of these molecules and indicate what types of strain might be present in each. c) Are either of your models "flat" like a hexagon or a square? Question 2: Make a model of cyclopentane. a) Is your model flat like a pentagon? b) Why or...
(Round all intermediate calculations to at least 4 decimal places.) Consider the following sample regressions for the linear, the quadratic, and the cubic models along with their respective R2 and adjusted R2. Linear Quadratic Cubic Intercept 25.97 20.73 16.20 x 0.47 2.82 6.43 x2 NA −0.20 −0.92 x3 NA NA 0.04 R2 0.060 0.138 0.163 Adjusted R2 0.035 0.091 0.093 pictureClick here for the Excel Data File a. Predict y for x = 3 and 5 with each of the...
IS-LM-FX Model and Stabilization Policy Suppose the fiscal authority of an economy implements expansionary policy. Specifically, the government increases its spending. Consider the graphical illustration of the IS-LM-FX model and the analysis of the policy change, and answer the following questions comparing the initial equilibrium before any change was implemented to the equilibrium that prevails after the expansionary fiscal policy is implemented. a) What happens to the consumer spending, why? explain. b) What happens to the investment spending, why? explain....