ZuoTi.Pro
Question

Consider the following estimated multiple regression equation, with n = 25: Y = 5 + 10X1...

Consider the following estimated multiple regression equation, with n = 25:

Y = 5 + 10X1 + 20X2.

R2               =          0.90;                            Sb1        =          3.2;                  Sb2        =          5.5

Calculate the test statistic to test whether X1 contributes information to the prediction of Y.

a. 0.32

b. 3.636

c. 3.125

d. 2.8125

e. None of the above

math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

here as we know that test statistic for a coefficient =estimated coefficient /standard error =10/3.2=3.125

option C is correct

0 0
Add a comment
Know the answer?
Add Answer to:
Consider the following estimated multiple regression equation, with n = 25: Y = 5 + 10X1...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • In a regression analysis involving 36 observations, the following estimated regression equation was developed. û =...

    In a regression analysis involving 36 observations, the following estimated regression equation was developed. û = 10 - 5X1 + 4X2 +8.6X3 Also, the following standard errors and the sum of squares were obtained. Sb1 = 4 Sb2 = 2 Sb3 = 7 SST = 4,800 SSE = 1,296 When we increase X1 by 2 units and hold other things constant, Y on average will increase by 36 units U None of the rest increase by 5 units decrease by...

  • 8. Use the following information from a multiple regression analysis. n = 15 b1 = 5...

    8. Use the following information from a multiple regression analysis. n = 15 b1 = 5 b2 = 6 Sb1 = 1.4 Sb2 = 0.8 a. Which variable has the largest​ slope, in units of a t​ statistic? The variable _____ has the largest​ slope, with tSTAT = _____ b. Construct a 90​% confidence interval estimate of the population​ slope, β1. c. Begin by determining whether X1 makes a significant contribution to the regression model. Determine the null and alternative...

  • (E3) Consider the following population regression model Y 105X1 v U -10 + 10X1 + u...

    (E3) Consider the following population regression model Y 105X1 v U -10 + 10X1 + u where X1 and u are two independently-distributed standard normal random variables (i.e. such that cov(X1,u) 0) (v) Prove algebraically that a1 is a biased estimator of the true effect of X1 on Y from the population regression model, Y 10 5X. Derive an analytic expression for the degree of bias.

  • In a regression analysis involving 30 observations, the following estimated regression equation w...

    In a regression analysis involving 30 observations, the following estimated regression equation was obtained. y=17.6+3.8x1-2.3x2+7.6x3+2.7x4 For this estimated regression equation SST= 1805 and SSR=1756. a. At a= 0.05  , test the significance of the relationship among the variables. SSE=_________________ (to 1 decimal, if necessary) MSR=________________ (to 1 decimal, if necessary) MSE=+_______________ (to 2 decimals, if necessary) What is the value of the F test statistic (to 1 decimal)? _______________ What is the p-value? - Select your answer -less than .01,between...

  • Consider the following data for a dependent variable y and two independent variables, x1 and x2....

    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...

  • In a multiple regression analysis, two independent variables are considered, and the sample size is 26....

    In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows. b1 = 1.468 Sb1 = 0.89 b2 = ?1.084 Sb2 = 0.88 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...

  • In a multiple regression analysis, two independent variables are considered, and the sample size is 26....

    In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows. b1 = 1.468 Sb1 = 0.89 b2 = −1.084 Sb2 = 0.88 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...

  • (E3) Consider the following population regression model Y 105X1 v U -10 + 10X1 + u...

    (E3) Consider the following population regression model Y 105X1 v U -10 + 10X1 + u where X1 and u are two independently-distributed standard normal random variables (i.e. such that cov(X1,u) 0) EKLEKj, EKs], etc.) of a standard What is cov(Χι, ν)? (Hint: The normal random variable are all zero). (ii) odd moments (e.g.

  • In a multiple regression analysis, two independent variables are considered, and the sample size is 26....

    In a multiple regression analysis, two independent variables are considered, and the sample size is 26. The regression coefficients and the standard errors are as follows. b1 = 2.312 Sb1 = 0.81 b2 = −1.950 Sb2 = 0.77 Conduct a test of hypothesis to determine whether either independent variable has a coefficient equal to zero. Would you consider deleting either variable from the regression equation? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round...

  • 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 var...

    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...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT