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13b. The answer in the back of the book states it is 8.88-.147t I don\'t know ho

ID: 3306036 • Letter: 1

Question

13b. The answer in the back of the book states it is 8.88-.147t I don't know how that answer was calculated. hapter 2 Forecasting 93 A quality control analyst has kept a record of the defective rate of a process he has been trying to improve during a period of about four weeks. The following data (percent- ages) were recorded: 13. Week 10.2 9.4 8.4 7.8 8.2 7.3 7.0 6.5 Monday Tuesday Wednesday 72 .6.8 6.3 5.0 Thursday Friday 6.8 6.0 5.4 48 94 9.0 8.2 7.1 Determine daily relatives for the defective rate. b. a. Compute a linear trend equation for the defective rate. Use your answers from the preceding two parts to predict the defective rate fo each day of Week 5. c. A TV repair shop located near a large hospital provides rental TVs to hospital patients.Ac- cording to shop invoices, the number of TVs rented out per day for the last 12 days were Day 14. Rentals Day Rentals

Explanation / Answer

Answer:

Data entered as follows.

Do regression analysis time t as x variable and defective rate as y variable.

t

defective rate

1

10.2

2

8.2

3

7.2

4

6.8

5

9.4

6

9.4

7

7.3

8

6.8

9

6

10

9

11

8.4

12

7

13

6.3

14

5.4

15

8.2

16

7.8

17

6.5

18

5

19

4.8

20

7.1

Result.

Regression Analysis

0.339

n

20

r

-0.583

k

1

Std. Error

1.246

Dep. Var.

defective rate

ANOVA table

Source

SS

df

MS

F

p-value

Regression

14.3538

1  

14.3538

9.25

.0070

Residual

27.9342

18  

1.5519

Total

42.2880

19  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=18)

p-value

95% lower

95% upper

Intercept

8.8826

0.5787

15.350

8.76E-12

7.6668

10.0984

t

-0.1469

0.0483

-3.041

.0070

-0.2484

-0.0454

The regression line is

defective rate = 8.8826 – 0.1469*t

t

defective rate

1

10.2

2

8.2

3

7.2

4

6.8

5

9.4

6

9.4

7

7.3

8

6.8

9

6

10

9

11

8.4

12

7

13

6.3

14

5.4

15

8.2

16

7.8

17

6.5

18

5

19

4.8

20

7.1

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