x <- c(1,2,3,4,5) > y<- c(3,8,6,12,13) > model <- lm(y~x) > summary (model) Call: lm(formula = y ~ x) Residuals: 1 2 3 4 5 -0.6 2.0 -2.4 1.2 -0.2 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.2000 2.0624 0.582 0.6015 x 2.4000 0.6218 3.860 0.0307 * --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 1.966 on 3 degrees of freedom Multiple R-squared: 0.8324, Adjusted R-squared: 0.7765 F-statistic: 14.9 on 1 and 3 DF, p-value: 0.03074 > predict(model, data.frame(x=5),interval = "prediction") fit lwr upr 1 13.2 5.284298 21.1157 > predict(model, data.frame(x=5),interval = "confidence") fit lwr upr 1 13.2 8.352642 18.04736
a)
s = 3.04631
b)
fit = 13.2
8.352642 , 18.04736
c)
S_pred = 4.974601
d)
5.284298, 21.1157
Given are five observations for two variables, x and y xi1 2 3 4 5 3...
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, 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, 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. (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...
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....
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, 3 and y. 24 1 2 3 5 4 7 5 11 15 d. Develop the estimated regression equation by computing the values of bo and bi (to 1 decimals). Ý e. Use the estimated regression equation to predict the value of y when x = 5 (to 1 decimals). >
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...
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 5 У|4751216 c. Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal) d. Use the estimated regression equation to predict the value of y when x- 4 (to 1 decimal)