



Consider a binary response variable y and two explanatory variables xy and x2. The following table contains the parameter estimates of the linear probability model (LPM) and the logit model, wit...
Consider a binary response variable y and two explanatory variables x1 and x2. The following table contains the parameter estimates of the linear probability model (LPM) and the logit model, with the associated p-values shown in parentheses. Variable LPM Logit Constant −0.60 −2.50 0.02 (0.03 ) x1 0.28 0.99 (0.06 ) (0.06 ) x2 −0.06 −0.30 (0.03 ) (0.06 ) a. At the 5% significance level, comment on the significance of the variables for both models. Variable LPM Logit x1...
Can someone help me with the work either by hand or using R?
Thanks!
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.69
−6.30
(0.06)
(0.06)
x
0.06
0.21
(0.04)
(0.06)
a. Test for the significance of the intercept and
the slope coefficients at the 5% level in both...
A linear regression of a variable Y against the explanatory variables X1 and X2 produced the following estimation model: Y = 1615.495 + 9.957 X1 + 0.081 X2 + e (527.96) (6.32) (0.024) The number in parentheses are the standard errors of each coefficients i. State the null and alternative hypothesis for the coefficients Select the appropriate test, compute the test statistic based on the information above, and test the null hypothesis for each coefficient by using a level of...
Using 30 observations, the following output was obtained when estimating the logit model. Predictor Coef SE Z P Constant −0.168 0.140 1.20 0.230 x 5.038 1.832 2.75 0.006 a. What is the predicted probability when x = 0.48? (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Use the following linear regression equation to answer the questions. x1 = 1.5 + 3.4x2 – 8.3x3 + 2.3x4 (a) Which variable is the response variable? Which variables are the explanatory variables? (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant? x2 coefficient? x3 coefficient? x4 coefficient? (c) If x2 = 1, x3 = 8, and x4 = 6, what is the predicted value for x1? (Use 1 decimal place.) (d) Explain how...
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 = __ +...
Consider the following data for a dependent variable y and two independent variables, x1 and x2 . x1 x2 y 30 12 95 46 11 108 24 17 113 50 16 178 41 6 95 51 19 176 75 7 170 37 12 117 60 14 142 77 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^ = ___ +...
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for the data is ŷ = −18.4 + 2.01x1 + 4.74x2. (a) Develop a 95% confidence interval for the mean value of y when x1 = 65...
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 96 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is ŷ = −17.33 + 2.00x1 + 4.73x2. Here, SST = 15,002.1, SSR = 13,887.5, sb1 = 0.2454, and sb2 = 0.9417. Find the...
a) Find the multiple regression equation using all three explanatory variables. Assume that X1 is mid-term score, X2 is hours studying per week and x3 is hours watching television per week. Give your answers to 3 decimal places. û = mid-term score + hours studying + hours watching television + b) At a level of significance of 0.05, the result of the F test for this model is that the null hypothesis rejected. c) The explanatory variable that is most...