ZuoTi.Pro
Question

Using the Estimated Regression Equation for Estimation and Prediction - Please work our problem fully so that I can learn how to do the problem. This is my second time submitting. The first time the answers were wrong and they did not explain.

Given are five observations for two variables, x and y. y3 7 6 11 14 Round your answers to two decimal places. a. Using the following equation: Estimate the standard deviation of ý when x 4. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x-4. to c. Using the following equation: 1 nY Estimate the standard deviation of an individual value of y when x -4. d. Using the following expression a/2 pred Develop a 95% prediction interval for y when x-4. If your answer is negative, enter minus (-) sign. to

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

(x-x) 4.0000 1.0000 0.0000 1.0000 4.0000 10.0000 (y-y) 27.0400 1.4400 4.8400 7.8400 33.6400 74.8000 (x-x)(y-y 10.4000 1.2000 0.0000 2.8000 11.6000 26.0000 S.No 1 2 1 2 4 14 Total 15 3.0000 Mean 8.2000 SSX SSY sample size: here 8.2000 3.0000 from above 10.0000 26.0000 slope- 2.6000 intercept- 0.4000 hence line equation: SSE-Syy-(Sxy)/Sxx- error variance σ2- 0.400 2.600 x 7.2000 s -SSE/(n-2) 2.400 std error σ 1.5492 4 predcited value at X=4; 10.800 std error confidence interval- s*/(1/n+(xo-XYSx.) 0.8485 for 95 % Cl value of t= margin of error E-t std error lower confidence bound-sample mean-margin of error- Upper confidence bound-sample mean+margin of error- 3.182 2.7000 8.10 13.50 std error prediction interval= s*/(1+1/n+(xgxY%) 1.7664 for 95 % CI value of t margin of error E-t std error lower prediction bound-sample mean-margin of error- Upper prediction bound-sample mean+margin of error- 3.182 5.6205 5.18 16.42

a)

from above:

std deviation of Yhat=0.85

b)95% confidence interval =8.10 ; 13.50

c) std deviation of individual value =1.77

95% prediction interval =5.17 ; 16.43 ( please try 5.18 ; 16.42 if this comes wrong)

0 0
Add a comment
Know the answer?
Add Answer to:
Using the Estimated Regression Equation for Estimation and Prediction - Please work our problem fully so...
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

  • Given are five observations for two variables, x and y. y3 7 6 11 14 Round...

    Given are five observations for two variables, x and y. y3 7 6 11 14 Round your answers to two decimal places. a. Using the following equation: Estimate the standard deviation of ý" when x 4. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x-4. to c. Using the following equation: 1 nY Estimate the standard deviation of an individual value of y when x -4. d. Using the following expression...

  • Given are five observations for two variables, x and y xi1 2 3 4 5 3...

    Given are five observations for two variables, x and y xi1 2 3 4 5 3 8 6 12 13 Round your answers to two decimal places. a. Using the following equation Estimate the standard deviation of ý* when x - 4. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x-4. to c. Using the following equation: 1 Estimate the standard deviation of an individual value of y when x -4....

  • Video Given are five observations for two variables, x and y x1 2 3 4 5...

    Video Given are five observations for two variables, x and y x1 2 3 4 5 Y3 8 6 12 14 Round your answers to two decimal places. a. Using the following equation Estimate the standard deviation of y* when x = 4 0742 b. Using the following expression: Develop a 95% confidence interval for the expected value of y when x-4 6.03 to 10.76 c. Using the following equation: I(x*- Estimate the standard deviation of an individual value of...

  • Round your answers to two decimal places.

    Round your answers to two decimal places. a. Using the following equation:\(S_{\hat{y}},=s \sqrt{\frac{1}{n}+\frac{\left(x^{*}-\bar{x}\right)^{2}}{\sum\left(x_{i}-\bar{x}\right)^{2}}}\) Estimate the standard deviation of \(\hat{y}^{*}\) when \(x=3 .\)b. Using the following expression:\(\hat{y} * \pm t_{\alpha / 2} s_{\hat{y}}\)Develop a \(95 \%\) confidence interval for the expected value of \(y\) when \(x=3\). toc. Using the following equation:$$ s_{\text {pred }}=s \sqrt{1+\frac{1}{n}+\frac{\left(x^{*}-\bar{x}\right)^{2}}{\sum\left(x_{i}-\bar{x}\right)^{2}}} $$Estimate the standard deviation of an individual value of \(y\) when \(x=3\).d. Using the following expression:\(\hat{y}^{*} \pm t_{\alpha / 2} s_{\text {pred }}\)Develop a \(95 \%\) prediction...

  • stats

    Given are five observations for two variables, x and y.x i12345y i3751213Round your answers to two decimal places. Use Table 1 of Appendix B.a.  Using the following equation:Estimate the standard deviation of ŷ* when x = 3.b.  Using the following expression:Develop a 95% confidence interval for the expected value of y when x = 3. to c.  Using the following equation:Estimate the standard deviation of an individual value of y when x = 3.d.  Using the following expression:Develop a 95% prediction interval for y when x = 3. If your answer is negative, enter minus (-) sign.

  • Given are five observations for two variables, and y. Use Table 2 of Appendix B. Ti1...

    Given are five observations for two variables, and y. Use Table 2 of Appendix B. Ti1 2 345 yi3 8 512 14 Round your answers to two decimal places. a. Using the following equation: 1T nz) Estimate the standard deviation of y * when x-3. b. Using the following expression: Develop a 95% confidence interval for the expected value of y when z 3. to c. Using the following equation: 1 (x*-2) Spred = 8 | | +-+ a) Estimate...

  • An important application of regression analysis in accounting is in the estimation of cost. By collecting...

    An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 400 3800 500 4300 600 5300 650 5900 750 6300...

  • 5. Using the estimated regression equation for estimation and prediction Aa Aa Market model is a term used in finance to describe a linear regression model in which the dependent variable is the retu...

    5. Using the estimated regression equation for estimation and prediction Aa Aa Market model is a term used in finance to describe a linear regression model in which the dependent variable is the return on a stock and the independent variable is the return on the overall market. The market model is sometimes extended to include other independent variables-for example, the return on a specific industry sector. Company A is one of the leading software companies in the world. Suppose...

  • An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volum...

    An important application of regression analysis in accounting is in the estimation of cost. By collecting data on volume and cost and using the least squares method to develop an estimated regression equation relating volume and cost, an accountant can estimate the cost associated with a particular manufacturing volume. Consider the following sample of production volumes and total cost data for a manufacturing operation. Production Volume (units) Total Cost ($) 350 4200 450 4900 550 5500 6400 650 700 6800...

  • MindTap Cengage X C Get Homework Help Cengaye Learning Mail-steviemyers@X Module 6 Homework X G how lo find sse Gu x X...

    MindTap Cengage X C Get Homework Help Cengaye Learning Mail-steviemyers@X Module 6 Homework X G how lo find sse Gu x X X https://ng.cengage.com/static/nb/ui/evo/index.html?deploymentld-57360043871155144847470648elSBN =9781337115377&id-476006206 &nbld=1160247. C CENGAGE MINDTAP Q Search this course Module 6 Homework video cBook Appendix B. Given are (ive abservations for Lwo variables, and , Use Tatble: 12 14 7 Rqund vour answers to twa decimal places a. Using the rollowing equation: (a)3 (-) S when -3 Estimate the standard deoviation ot b. Using following expression...

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