Please answer b) c) d) and e) correctly - for b), need guidance on simple means - for d) goodness of fit and for e) cost

Suppose that a regional express delivery service company wants to estimate the cost of shipping a

package (Y) as a function of cargo type, where cargo types includes the following possibilities, fragile,

semifragile and durable. Costs for several randomly chose packages of approximately the same weight

and same distance shipped, but different cargo types, are provided as shown below

Shipment

Cargo Type

Cost of Shipment

1

Semifragile

$7.00

2

Durable

$2.00

3

Fragile

$13.80

4

Fragile

$11.10

5

Semifragile

$10.00

6

Fragile

$17.20

7

Semifragile

$11.50

8

Semifragile

$6.50

9

Semifragile

$8.50

10

Durable

$2.10

11

Fragile

$10.90

12

Fragile

$12.00

13

Durable

$7.50

14

Durable

$3.40

15

Durable

$1.30

b. Interpret the estimated regression coefficients. You should find that the estimated slope and

intercept of the equation are simple means. Which simple means are they?

c. According to the estimated regression equation which type of cargo is the most costly to ship? Which

cargo type is the least costly to ship?

d. How does the estimated equation fit the given sample data? How do you think the model's goodness

of fit could be improved?

e. Given the estimated regression equation, predict the cost of shipping a package with semifragile

cargo.