Answer:
The average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.
Step-by-step explanation:
A simple linear regression line is used to predict the value of the dependent variable from the independent variable.
The general form is:
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.
The dependent variables are also known as response variables.
In this case the dependent variable is the average change in rent for a 1-bedroom apartment.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.
The independent variables are also known as the predictor variables.
In this case the independent variable is the average income in a city.
So, for an increase of $5,000 in incomes the average change in rent can be determined by substituting the value of <em>X</em> as 5000 in the regression equation.
First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,
x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km
Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,
Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km
Use the letters q and d to represent # of quarters and # of dollars.
q + d = 22 coins.
$0.25q + $1.00d = $10.75 Mult. this by 100 to eliminate fractions:
25q + 100d = 1075
Subst. q = 22 - d into the 2nd equation:
25 (22 - d) + 100 d = 1075
550 - 25d + 100d = 1075
550 + 75d = 1075
75 d = 525
d = 7
q + d = 22, so if d = 7, then q = 22-7, or q=15.
There are 15 quarters and 7 dimes.
At first, Anita looks like her account would grow faster. By month 4, shes at $1,200 while Miguel is at $400. However, Anita is only getting $200 a month. While Miguel gets double of whatever amount he has in his bank account. By month 10, Anita is at $2,400 while Miguel has $25,600. That is a $23,200 difference. So Miguel's bank account will grow faster than Anita.
When you say that two numbers are relatively
prime, it means that both numbers do not have a common factor except 1. Stephen
is incorrect because 38 and 40 are both multiples of 2.
I hope I answered your question. Thank you <span>J</span>
