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:
35 - m
Step-by-step explanation:
Every minute, 1 gallon is leaked. So, the number of gallons left would be 35 minus the number of minutes.
Answer:
g=x+2
Step-by-step explanation:
Let's solve for g.
gx=x2+2x
Step 1: Divide both sides by x.
gx/x = x2 +2x / x
<u>g=x+2</u>
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By making three groups, you can take all the information and find out how many people like each drink, there are 47 people in each group, so 47 people are accounted for. 50-47=3.
Answer:
4/5
Step-by-step explanation:
In a right triangle, the longest side is always the hypotenuse. Hence
Hypotenuse =5cm
The side opposite to the angle theta is the opposite, hence
Opposite = 4cm
Required
Sin theta
According to SOH CAH TOA
Sin theta = opposite/hypotenuse
Sin theta = 4/5
Hence the sine of the angle opposite the side of length 4cm is 4/5
