Answer:
<h3>A. The slope describes the amount of change in Y for a one-unit increase in X
.</h3><h3>B. The regression equation is the line that best fits a set of data as determined by having the least squared error.</h3>
Step-by-step explanation:
In statistics, linear regression is a analysis we do to describe the relationship between two variables. With this study, we pretend to know if there's a positive or negative correlation between those variables, if that correlation is strong or weak.
In a linear regression analysis, we modeled the data set using a regression equation, which is basically the line that best fits to the data set, this line is like the average where the majority of data falls. That means choice A is right.
When we use linear equations, we need to know its characteristics, and the most important one is the slope, which is the ratio between the dependent variable and the independent variable. Basically, the slope states the unit rate between Y and X, in other words, it states the amount of Y per unit of X. That means choice B is correct.
Therefore, the correct answers are A and B.
Answer:
314 million
Step-by-step explanation:
Given that :
Number of motor vehicle in the U.S for every 1000 people = 828
If the number of motor vehicle in the United States = 260 million
Then,
Let x = number of people Given number of vehicles = 260,000,000
1000 people = 828 vehicles
x = 260,000,000
828x = (260,000,000 * 1000)
828x = 260,000,000,000
x = 314009661. 835
x = 314 million (approx)
What are you solving for?
If you are solving for × then I hope this helps
Let's solve for x.
f(x)= 100−10+e−0.1x
Step 1: Add 0.1x to both sides.
xf+0.1x=−0.1x+e+90+0.1x
xf+0.1x = e+90
Step 2: Factor out variable x.
x(f+0.1) = e+90
Step 3: Divide both sides by f+0.1.
x(f+0.1)/ f+0.1 =e+90/ f+0.1
x=e+90/ f+0.1
Answer:
x= e+90/ f+0.1
Answer:
y = 3x - 5
Step-by-step explanation:
I used my calculator so that it would be faster.
But if you want work you have to find the slope then plug in.
To find the slope use points (1, -2) and (2, 1) use this formula 
Plug the points in 
So your slope is 3
NOw Plug In (1, -2)
-2 = 3(1) + b (b represents the y- intercept)
-2 = 3 + b (subtract 3 on both sides)
-5 = b
The final equation is y = 3x - 5
Hope this helps ya!!
Answer:
12.29minutes
Step-by-step explanation:
The net flow rate = flow in - flow out = F(t) - E(t) = t+6/1+t - ln(t+2)/t+1 = [(t + 6) - ln(t+2)]/(t+1)
So, the amount of water present in the tank at time, t is A = net flow rate × time = [(t + 6) - ln(t+2)]/(t+1) × t = t[(t + 6) - ln(t+2)]/(t+1)
At t = 10 minutes,
A = t[(t + 6) - ln(t+2)]/(t+1)
A = 10[(10 + 6) - ln(10+2)]/(10+1)
A = 10[16 - ln12]/11
A = 10[16 - 2.485]/11
A = 10[13.515]/11
A = 135.15/11
A = 12.29 minutes
