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a. Estimate a multiple regression equation using the given data. Cost of shipment = β0 + β1 * Weight + β2 * Distance Interpret each of the estimated regression coefficients: As the weight of the package increases by 1 pound, the cost typically increases by β1, while holding the distance constant. As the distance shipped increases by 1 mile, the cost typically increases by β2, while holding the weight constant. b. Interpret R2: The R-square value indicates that about [ Select ] of the variation in the [ Select ] is explained by the multiple regression model. c. The regression model [ Select ] the sample data well because the p-value of the regression is very [ Select ] d. The regression coefficient of X1 (package weight) is [ Select ] and the regression coefficient of X2 (distance shipped) is [ Select ]. e. What is the expected cost of the shipment for a package that weighs 3 lbs and needs to be shipped 200 miles away? [ Select ]

          a. Estimate a multiple regression equation using the given data.
Cost of shipment = β0 + β1 * Weight + β2 * Distance
Interpret each of the estimated regression coefficients:
As the weight of the package increases by 1 pound, the cost typically increases by β1, while holding the distance constant.
As the distance shipped increases by 1 mile, the cost typically increases by β2, while holding the weight constant.
b. Interpret R2: The R-square value indicates that about [ Select ] of the variation in the [ Select ] is explained by the multiple regression model.
c. The regression model [ Select ] the sample data well because the p-value of the regression is very [ Select ]
d. The regression coefficient of X1 (package weight) is [ Select ] and the regression coefficient of X2 (distance shipped) is [ Select ].
e. What is the expected cost of the shipment for a package that weighs 3 lbs and needs to be shipped 200 miles away? [ Select ]

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jerelyn Nevil

10/14/2022

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Step 1: Estimate the multiple regression equation using the given data: Cost of shipment = β0 + β1 * Weight + β2 * Distance Show more…

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a. Estimate a multiple regression equation using the given data. Cost of shipment = β0 + β1 * Weight + β2 * Distance Interpret each of the estimated regression coefficients: As the weight of the package increases by 1 pound, the cost typically increases by β1, while holding the distance constant. As the distance shipped increases by 1 mile, the cost typically increases by β2, while holding the weight constant. b. Interpret R2: The R-square value indicates that about [ Select ] of the variation in the [ Select ] is explained by the multiple regression model. c. The regression model [ Select ] the sample data well because the p-value of the regression is very [ Select ] d. The regression coefficient of X1 (package weight) is [ Select ] and the regression coefficient of X2 (distance shipped) is [ Select ]. e. What is the expected cost of the shipment for a package that weighs 3 lbs and needs to be shipped 200 miles away? [ Select ]

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00:01 So a regional express delivery service company recently conducted a study to investigate the relationship between the cost of shipping package y, the package weight x1, and the distance shipped x2.

00:14 Okay.

00:15 So 20 packages were randomly selected from among a large number received shipment.

00:23 In the detail analysis of the shipping cost was conducted for each package.

00:27 This sample observations are given in the file and it gives the file.

00:31 Estimate the simple linear regression equation involving the shipping cost and the package weight.

00:42 Interpret the slope coefficient of the least squares line and the r squared value.

00:47 So i'm using excel to do this and so i'm going to insert.

00:53 I'm going to highlight what i want and i'm going to insert a scatter plot.

00:58 And this is, i'm going to add in a title.

01:04 Oops.

01:08 And this is going to be for the axis title.

01:15 This is package weight.

01:22 And then, i have package weight.

01:31 And then i have for axis title for the x, it's cost of shipment.

01:42 And then i want to include the trend line, which is going to be linear.

01:54 And to get the equation and the r squared, i'm going to make this bigger so that you can see this.

02:10 So the equation of the trend line is y equals 0 .3101 x plus 4 .4 .1.

02:18 1 .9571 and r squared equals 0 .3361.

02:26 And then it says add another explanatory variable, distance shipped to the regression model in part a.

02:36 Estimate and interpret this expanded equation.

02:40 How does the r squared value for this multiple regression equation compare to that of the simple regression equation in part a.

02:48 So it wants to add another.

02:52 Let me see if it will do this...

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