Question

An experiment was conducted to study the size of squid eaten by sharks and tuna. The regressor variablesare characteristics of the beaks of the squid. The data are given as follows:

x1

1.31

1.55

0.99

0.99

1.01

1.09

1.08

1.27

0.99

1.34

1.30

1.33

1.86

1.58

1.97

1.80

1.75

1.72

1.68

1.75

2.19

1.73

x2

1.07

1.49

0.84

0.83

0.90

0.93

0.90

1.08

0.85

1.13

1.10

1.10

1.47

1.34

1.59

1.56

1.58

1.43

1.57

1.59

1.86

1.67

x3

0.44

0.53

0.34

0.34

0.36

0.42

0.40

0.44

0.36

0.45

0.45

0.48

0.60

0.52

0.67

0.66

0.63

0.64

0.72

0.68

0.75

0.64

x4

0.75

0.90

0.57

0.54

0.64

0.61

0.51

0.77

0.56

0.77

0.76

0.77

1.01

0.95

1.20

1.02

1.09

1.02

0.96

1.08

1.24

1.14

x5

0.35

0.47

0.32

0.27

0.30

0.31

0.31

0.34

0.29

0.37

0.38

0.38

0.65

0.50

0.59

0.59

0.59

0.63

0.68

0.62

0.72

0.55

y

1.95

2.90

0.72

0.81

1.09

1.22

1.02

1.93

0.64

2.08

1.98

1.90

8.56

4.49

8.49

6.17

7.54

6.36

7.63

7.78

10.15

6.88

In the study, the regressor variables and response consideredare

x1 = rostral length, in inches,

x2 = wing length, in inches,

x3 = rostral to notch length, in inches,

x4 = notch to wing length, in inches,

x5 = width, in inches,

y = weight, in pounds.

Estimate the multiple linear regression equation

μY |x1,x2,x3,x4,x5

= β0 + β1x1 + β2x2 + β3x3 + β4x4 + β5x5.

Answer 1