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Peanuts are a valuable crop having high oil and protein content – in terms of ca

ID: 2899699 • Letter: P

Question

Peanuts are a valuable crop having high oil and protein content – in terms of caloric content, they have high calorie for low mass. Likewise, they are nutritious because of the high protein and mineral content. Peanuts are legumes and have the capacity to fix nitrogen, which lowers inputs into crop production. There is some interest to develop crops with larger seed size – which would provide more nutritional content on a per peanut basis.

Researchers in China are looking at different varieties of peanuts. See table below to see phenotypic data for 2 different varieties of peanut (Xuhua and Fuchuan) and the offspring of their cross (F2). Each value represents a mean of a population for that variety. So, line 1 is 1 population for each of the parent varieties and their F2

Line

Seed length

Seed width

Xuhua

Fuchuan

F2

Xuhua

Fuchuan

F2

1

1.525

0.82

1.26

0.71

0.69

0.7

2

1.77

0.845

1.29

0.7

0.68

0.68

3

1.615

0.88

1.32

0.68

0.70

0.71

4

1.58

0.91

1.23

0.72

0.66

0.68

5

1.985

0.825

1.37

0.7

0.67

0.71

6

1.44

0.94

1.15

0.74

0.67

0.67

7

1.505

0.995

1.31

0.72

0.68

0.72

8

1.405

0.975

1.2

0.75

0.7

0.72

9

1.39

1.05

1.24

0.67

0.68

0.69

Are seed length and seed width correlated with each other (this has to be looked at within population)?

1.Calculate the correlation. Are they correlated?

2. Why do you think they are or are not correlated – think would you expect them to be and does what you find match or not match your expectation?

Line

Seed length

Seed width

Xuhua

Fuchuan

F2

Xuhua

Fuchuan

F2

1

1.525

0.82

1.26

0.71

0.69

0.7

2

1.77

0.845

1.29

0.7

0.68

0.68

3

1.615

0.88

1.32

0.68

0.70

0.71

4

1.58

0.91

1.23

0.72

0.66

0.68

5

1.985

0.825

1.37

0.7

0.67

0.71

6

1.44

0.94

1.15

0.74

0.67

0.67

7

1.505

0.995

1.31

0.72

0.68

0.72

8

1.405

0.975

1.2

0.75

0.7

0.72

9

1.39

1.05

1.24

0.67

0.68

0.69

Explanation / Answer

Let us call the two sets of data "x" and "y" (in our case Seed Length is x and Seed width is y):

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