Given are five observations for two variables, x and y. (Round your answers to two decimal places.)
xi |
3 | 12 | 6 | 20 | 14 |
---|---|---|---|---|---|
yi |
55 | 40 | 55 | 10 | 15 |
(a)
Estimate the standard deviation of
ŷ*
when
x = 11.
(b)
Develop a 95% confidence interval for the expected value of y when
x = 11.
to
(c)
Estimate the standard deviation of an individual value of y when
x = 11.
(d)
Develop a 95% prediction interval for y when
x = 11.
to
a)
std error of confidence interval = | s*√(1/n+(x0-x̅)2/Sxx)= | 3.9158~ 3.92 |
b)
for 95 % confidence and 3degree of freedom critical t= | 3.1820 | |||||
95% confidence interval =xo -/+ t*standard error= | (22.54,47.46) |
c)
std error of prediction interval=s*√(1+1/n+(x0-x̅)2/Sxx)= | 9.5917~ 9.59 |
d)
for 95 % confidence and -2degree of freedom critical t= | 3.1820 | |||||
95% prediction interval =xo -/+ t*standard error= | (4.48,65.52) |
Given are five observations for two variables, x and y. (Round your answers to two decimal...
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 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 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...
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...
Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 8 5 10 14 (d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 2.
Given are five observations for two variables, x and y.xi 1 2 3 4 5yi 3 7 5 11 14a. Develop the estimated regression equation by computing the values of b0 and b1.(To save you a lot of arithmetic, use the following facts: Σ(xi − ̄x)(yi − ̄y) = 26 and Σ(xi − ̄x)2= 10.)b. Use the estimated regression equation to predict the value of y when x= 4.
Given are five observations for two variables, x and y. xi 3 12 6 20 14 yi 50 45 55 15 15 (d) Develop the estimated regression equation by computing the values of b0 and b1 using b1 = Σ(xi − x)(yi − y) Σ(xi − x)2 and b0 = y − b1x. ŷ = (e) Use the estimated regression equation to predict the value of y when x = 9. Observation 1 2 3 4 5 6 7 8...
33· The data from exercise 2 follow. x 3 12 6 20 14 y, 155 40 55 10 15 a. Estimate the standard deviation of y* when x 8. b. Develop a 95% confidence interval for the expected value of y when x c. Estimate the standard deviation of an individual value of y when-8. d. Develop a 95% prediction interval for y when x = 8. 8.
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.
Choices are: "mean" or "individual" eBook Given are five observations for two variables, and y. T4712 15 19 7 15 7 25 20 Develop the 95% confidence and prediction intervals when z-9. Explain why these two intervals are different. (to 4 decimals) (to 3 decimals) (to 4 decimals) (to 4 decimals) t-value pred Confidence Interval for the Mean Value: (to 2 decimals) (to 2 decimals) Prediction Interval for an Individual Value: (Enter negative values as negative number.) The two intervals...