A regional express delivery service company recently conducted a study to investigate the relationship between the cost of shipping a package (Y), the package weight (X1), and the distance shipped (X2). Several packages were randomly selected from among the large number received for shipment, and a detailed analysis of the shipping cost was conducted for each package. These sample observations are given in the file P10 22 V2.xlsx + a. Estimate a multiple regression equation using the given data. Cost of shipment - [Select ] [ Select] Weight + ISelect ] * Distance Interpret each of the estimated regression coefficients: · As the weight of the package increases by 1 pound, the [ Select] typically [ Select] by I Select) [ Select] while holding the ( Select] constant. · As the distance shipped increases by 1 mile, the [ Select] typically (Select ] by ISelect ] [ Select ] while holding the (Select ] 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 I Select] the sample data well because the p-value of the regression is very [Select]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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A regional express delivery service company recently conducted a study to
investigate the relationship between the cost of shipping a package (Y), the
package weight (X1), and the distance shipped (X2). Several packages were
randomly selected from among the large number received for shipment, and a
detailed analysis of the shipping cost was conducted for each package. These
sample observations are given in the file P10 22 V2.xlsx !
a. Estimate a multiple regression equation using the given data.
Cost of shipment = [ Select)
[ Select]
Weight + [Select]
Distance
Interpret each of the estimated regression coefficients:
· As the weight of the package increases by 1 pound, the
[ Select]
typically ISelect]
by I Select )
[ Select ]
while holding the I Select]
constant.
• As the distance shipped increases by 1 mile, the
[ Select]
typically (Select ]
by [ Select]
[ Select ]
while
holding the [Select ]
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 weights 3 Ibs
and needs to be shipped 200 miles away? [ Select]
Transcribed Image Text:A regional express delivery service company recently conducted a study to investigate the relationship between the cost of shipping a package (Y), the package weight (X1), and the distance shipped (X2). Several packages were randomly selected from among the large number received for shipment, and a detailed analysis of the shipping cost was conducted for each package. These sample observations are given in the file P10 22 V2.xlsx ! a. Estimate a multiple regression equation using the given data. Cost of shipment = [ Select) [ Select] Weight + [Select] Distance Interpret each of the estimated regression coefficients: · As the weight of the package increases by 1 pound, the [ Select] typically ISelect] by I Select ) [ Select ] while holding the I Select] constant. • As the distance shipped increases by 1 mile, the [ Select] typically (Select ] by [ Select] [ Select ] while holding the [Select ] 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 weights 3 Ibs and needs to be shipped 200 miles away? [ Select]
Package
Cost of Shipment Package Weight Distance Shipped
1
$7.30
4.10
95
2
$7.00
0.30
160
3
$16.00
5.10
240
4
$7.60
5.90
47
$6.90
4.50
53
$10.00
3.50
250
7
$16.50
7.00
260
$10.00
2.40
209
9
$2.00
0.60
100
10
$9.40
0.75
280
11
$11.00
6.20
115
12
$1.70
1.10
90
13
$19.50
6.50
240
14
$19.00
7.50
190
15
$10.20
6.60
160
16
$6.10
2.70
45
17
$16.10
8.10
160
18
$5.50
0.70
80
19
$9.00
4.40
202
20
$4.90
3.20
145
5.
00
Transcribed Image Text:Package Cost of Shipment Package Weight Distance Shipped 1 $7.30 4.10 95 2 $7.00 0.30 160 3 $16.00 5.10 240 4 $7.60 5.90 47 $6.90 4.50 53 $10.00 3.50 250 7 $16.50 7.00 260 $10.00 2.40 209 9 $2.00 0.60 100 10 $9.40 0.75 280 11 $11.00 6.20 115 12 $1.70 1.10 90 13 $19.50 6.50 240 14 $19.00 7.50 190 15 $10.20 6.60 160 16 $6.10 2.70 45 17 $16.10 8.10 160 18 $5.50 0.70 80 19 $9.00 4.40 202 20 $4.90 3.20 145 5. 00
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