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In: Statistics and Probability

A series of experiments was conducted to measure bubble diameter. Three characteristics x1, x2, and x3...

A series of experiments was conducted to measure bubble diameter. Three characteristics x1, x2, and x3 were varied for each experiment. The data obtained are listed in the below table.

  1. Consider the multiple regression model that relates bubble diameter to x1, x2, and x3.
  2. What would be the bubble diameter for x1=5.9, x2 =0.9, and x3=11.5

y

x1

x2

x3

0.64

5

0.15

10

1.02

7

0.29

13

1.15

8

0.37

15

1.26

10

0.62

18

0.91

6

0.86

12

0.68

5.5

1

10.6

0.58

4

0.15

9.5

0.98

6.7

0.29

11.7

1.02

7.3

0.37

12.7

1.17

8.2

0.62

16

0.86

6

0.86

11.3

0.59

3

1

9.7

0.49

2.8

0.15

9.1

0.8

6

0.29

11

0.93

6.4

0.37

13

1.06

7.5

0.62

14

0.81

6.4

0.86

11.3

0.43

3.7

1

9.6

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