Question

In: Statistics and Probability

The minimum and maximum values of the coefficient of determination r2 are, respectively, A. 0 and...

The minimum and maximum values of the coefficient of determination r2 are, respectively,
A. 0 and 1
B. −1 and 1
C. −1 and 0
D. 0 and +∞

The following data represent a random sample of earwig density (x) and the proportion of males that have forceps (y).

Earwig Density

Proportion of Males with Forceps

0.25

0.05

5.3

0.1

12.6

0.67

22

0.19

25.4

0.04

32.3

0.53


Which of the following is the correlation coefficient?
A. 0.33
B. 0.17
C. 0.02
D. 0.8

Which of the following is the equation of the regression line?
A. y^=0.0072x+0.1452
B. y^=0.0072+0.1452x
C. y^=0.3319+0.1101x
D. y^=0.1101x+0.3319

Solutions

Expert Solution

A) Given data

1) The minimum and maximum values of coefficient of determination are between

0 and 1(Option-A)

Now A=0.1452

B=0.0007245

So,the equation of regression line is

Y=A+Bx

=0.1452+0.0007245x

=0.0007245x+0.1452 (Option-A)


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