Answer:

Step-by-step explanation:
<em>Step 1: Identify the approach:</em>
With this problem, the general solution is to try manipulate given data and transform data into a new form, in which, the desired value
is on the left side and all of other components which do not contain
or
are on the right side.
<em>Step 2: Analyze:</em>

Realize that in both equations, the
and
are in form of different signs. Then adding up corresponding sides of both equation can help eliminate these undesired components.
<em>Step 3: Perform manipulation:</em>

Rearrange:

Simplify:

Simplify:

Hope this helps!
:)
Answer:
a) y-intercept = 2.59
b) Therefore, we can say that when the penguin is not diving, the mean dive duration is 2.59 minutes.
Step-by-step explanation:
(a) What is the y-intercept of the regression line? (Use 2 decimal places)
The given regression equation is
y = 2.59 + 0.0126x
The standard form of the regression equation is given by
y = a + bx
Where a is the y-intercept of the regression line and b is the slope of the regression line.
Comparing the given equation with the standard form,
y-intercept = 2.59
(b) What is the correct interpretation of the y-intercept?
The y-intercept is the value we get when x = 0
y = 2.59 + 0.0126(0)
y = 2.59 + 0
y = 2.59 minutes
Therefore, we can say that when the penguin is not diving, the mean dive duration is 2.59 minutes.
Answer:
2
Step-by-step explanation:
Answer:
The y intercept is -7. Hope this helps.