Answer:
There seems to be m linear relation between te data.
Negative relationships between variables.
Step-by-step explanation:
Speed(X)
60
60
60
60
80
80
80
80
100
100
100
100
120
120
120
120
140
140
140
140
Lifetime (Y) :
4.6
3.8
4.9
4.5
4.7
5.8
5.5
5.4
5
4.5
3.2
4.8
4.1
4.5
4
3.8
3.6
3
3.5
3.4
The linear regression equation obtained by fitting the data using a regression model is :
ŷ = -0.017X + 6.03
From the regression plot, the relationship between the two variables, speed and lifetime is negative, that is an increase in one variable will lead to a corresponding decrease in the other.
Answer:
The given function is not a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem we have
This is the equation of the line in slope intercept form
where
e ---> represents her daily earnings
h ---> represents the number of hours she works
we have
The slope is equal to
The y-intercept is
Remember that
In a proportional relationship the y-intercept is equal to zero, because the line passes through the origin
In this problem, the y-intercept is not equal to zero, so this line don't pass through the origin
therefore
The given function is not a proportional relationship
-4k²(k+6)(k-1). The expression can be factored by factor completely to the expression -4k²(k+6)(k-1).
To factor the polynomial by factor completely, we must to use the pattern as follows:
1. Greatest Common Factor
factored into
2. Factor the trinomial