Consider the data set below. Excel File: data12-33.xls The estimated regression equation is ŷ = 30.33...

Consider the data set below.

Excel File: data12-33.xls

The estimated regression equation is ŷ = 30.33 - 1.88x.

Estimate the standard deviation of ŷ _p when x = 3 (to 3 decimals).
Develop a 95% confidence interval for the expected value of y when x = 3 (to 2 decimals).
( , )
Estimate the standard deviation of an individual value of y when x = 3 (to 2 decimals).
Develop a 95% prediction interval for y wh

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

The estimated regression equation for these data is ŷ = 70 − 3x.

Consider the data. xi 3 12 6 20 14 yi 55 35 60 10 25 The estimated regression equation for these data is ŷ = 70 − 3x. (a) Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE= SST= SSR= (b) Compute the coefficient of determination r2. (Round your answer to three decimal places.) r2 = (c) Compute the sample correlation coefficient. (Round your answer...

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ =...

In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 17.6 + 3.2x1 − 2.2x2 + 7.6x3 + 2.7x4 1. Interpret b1 in this estimated regression equation. (choose an option) a)b1 = −2.2 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant. b)b1 = 7.6 is an estimate of the change in y corresponding to a 1 unit change...

The following estimated regression equation based on 10 observations was presented. ŷ = 21.1370 + 0.5903x1...

The following estimated regression equation based on 10 observations was presented. ŷ = 21.1370 + 0.5903x1 + 0.4920x2 Here, SST = 6,736.125, SSR = 6,228.375, sb1 = 0.0819, and sb2 = 0.0563. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR=MSE= (b) Compute F and perform the appropriate F test. Use α = 0.05. State the null and alternative hypotheses. H0: β1 < β2 Ha: β1 ≥ β2 H0: β1 > β2 Ha: β1 ≤ β2...

The following estimated regression equation based on 10 observations was presented. ŷ = 25.1670 + 0.5705x1...

The following estimated regression equation based on 10 observations was presented. ŷ = 25.1670 + 0.5705x1 + 0.4960x2 Here, SST = 6,732.125, SSR = 6,221.375, sb1 = 0.0818, and sb2 = 0.0561. a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR= MSE= Find the value of the test statistic. (Round your answer to two decimal places.) F = Perform a t test for the significance of β1. Use α = 0.05. Find the value of the test statistic....

The following estimated regression equation based on 10 observations was presented. ŷ = 27.1570 + 0.5107x1...

The following estimated regression equation based on 10 observations was presented. ŷ = 27.1570 + 0.5107x1 + 0.4940x2 Here, SST = 6,722.125, SSR = 6,223.375, sb1 = 0.0811, and sb2 = 0.0569. (a) Compute MSR and MSE. (Round your answers to three decimal places.) MSR=MSE= (b) Compute F and perform the appropriate F test. Use α = 0.05. State the null and alternative hypotheses. H0: β1 > β2 Ha: β1 ≤ β2 H0: β1 = β2 = 0 Ha: One...

Using the data in the Excel file under the tab Problem1, develop a regression equation for...

Using the data in the Excel file under the tab Problem1, develop a regression equation for a country’s lung cancer death rate based on cigarette consumption. Is this a good regression model? Why or why not? If Cigarette Consumption was 725, what would you predict the Lung Cancer Death Rate to be? Using your regression model, what is the Residual Value for Finland? Do you think there are any outliers in the model? If so, what would you do with them? Country...

Consider the following time series data. Excel File: data17-35.xls Quarter Year 1 Year 2 Year 3...

Consider the following time series data. Excel File: data17-35.xls Quarter Year 1 Year 2 Year 3 1 4 6 7 2 2 3 6 3 3 5 6 4 5 7 8 b. Show the four-quarter and centered moving average values for this time series (to 3 decimals if necessary). Year Quarter Time Series Value Four-Quarter Moving Average Centered Moving Average 1 1 4 2 2 3.25 3 3 ________ 4 4 5 _______ _________ 2 1 6 _________ 4.75...

Consider the set of ordered pairs shown below. Assuming that the regression equation is y with...

Consider the set of ordered pairs shown below. Assuming that the regression equation is y with caret=1.087+0.724x and the SSE=5.362, construct a 90% prediction interval for x=1. x 6 1 4 4 4 1 y 6 2 5 4 2 2 Calculate the upper and lower limits of the prediction interval. UPL= LPL=

Consider the set of ordered pairs shown below. Assuming that the regression equation is y with...

Consider the set of ordered pairs shown below. Assuming that the regression equation is y with caret=5.322-0.029x and the SSE=18.794, construct a 95% prediction interval for x=6. x 4 6 3 3 5 ------------------ y 6 7 4 7 2 Click the icon to view a portion of the student's t-distribution table. Calculate the upper and lower limits of the prediction interval. UPL= LPL=

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the...

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level? Multiple Choice z = ±1.96 t = ±2.179 t = ±2.145 t = +2.145

Subjects