.A researcher has data for 33 states' data on soda taxes and obesity rate (percent of people who are obese), Soda taxes measured in cents, and estimates the following regression (Note that log value of soda tax is used as the independent variable). Standard errors are in parentheses ObeseRate=25.6 - 0.001 Log_SodaTax R2 = 0.35 (10.0) (0.002) 1) How would you interpret the estimated coefficient of SodaTax? 3) R2 = 0.35 in the above estimated regression, how would you interpret it?
Answers
Answer:
R² = 0.35 means 35% of variation in Obesity rate is explained by log of soda taxes.
Step-by-step explanation:
Regression is given by :
Obese Rate = 25.6 - 0.001Log_Soda Tax.
coefficient of Log_Soda Tax given = -0.001. Thus, we have to interpret this coefficient.
Representing ObeseRate as O and Log_Soda Tax be represented as Log(S)
=> O = 25.6 - 0.001Log(S)
dO/dLS = -0.001(1/S)
=> dO = -0.001(dS/S)
=> dO = -(0.001*100)(dS/S)/100
=> dO = -0.00001(% change in S)
Note that (dS/S)*100 = % change in S
Thus if we increase S by 1%, then dO = -0.00001i.e. O will decrease by 0.00001 units(negative sign means that O decreases)
Thus, coefficient of Soda tax is interpreted as follows
1 % increase in soda tax rate will result in decrease in obesity rate by 0.00001 %.
(b)
R² = 0.35
R² is, the percentage of variation in dependent variable is explained by explanatory variable.
Here R² = 0.35 means 35% of variation in Obesity rate is explained by log of soda taxes.
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A line is drawn through the points (-2, 6) and (-4, -2). What is the y-coordinate of the point where this line intersects the y-axis? Pls explain!
6x − 2y = 3 (equation 1) 5x + 3y = 4 (equation 2)
Answers
Answer:
49 days
Step-by-step explanation:
The spread of the disease is modeled as
where n = number of infected people
t = time (in days)
When the number of infected people is 1400, the number of days t will be:
It will take 49 days for the number of infected people to reach 1400.
Final answer:
Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.
Explanation:
To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).
So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.
Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.
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Answers
Answer:
4
Step-by-step explanation:
Answers
Answer:
The equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
Step-by-step explanation:
We know that the slope-intercept form is
Where m is the slope and b is the y-intercept
Given the equation
comparing with the slope-intercept form
slope = m = -5
y-intercept = b = 2
We know that the parallel lines have the same slopes.
so, the slope of the parallel line will be: -5
Thus, the equation of the line, using the point-slope form, through (-4,6) that is parallel to the line will be:
Answer:
y=-x+2
Step-by-step explanation:
i already did it and your welcome in advance
Answers
For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);
x = 1 + t(4 - 1)
y = 1 + t(3 - 1)
A to B => (x = 1 + 3t, y = 1 + 2t)
We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);
x = 4 + t(1 - 4)
y = 3 + t(7 - 3)
B to C => (x = 4 - 3t, y = 3 + 4t)
(x1, y1) = (1, 1) and (x2, y2) = (1, 7);
x = 1 + t(1 - 1)
y = 1 + t(7 - 1)
A to C => (x = 1, y = 1 + 6t)
Here is your graph of the triangle. Desmos is a really great tool to use;
What is the equation of the line in point-slope form?
4
= {(x + 4)
Oy+4=;
O y-4 = 2(x + 4)
N
Oy - 0 = 2(x-4)
Oy - 4 = 2(x -0)
4
-2.
2.
Answers
the equation of the line in slope-intercept form is:
y = (1/2)x - 2
What is the Linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
From the graph, two points on the line are (-4, -4) and (4,0),
The formula for the slope of a line is:
m = (y₂ - y₁) / (x₁ - x₁)
where (x₁, y₁) and (x₂, y₂) are two points on the line.
Using the given points (-4, -4) and (4, 0), we can calculate the slope:
m = (0 - (-4)) / (4 - (-4))
m = 4 / 8
m = 1/2
Now that we know the slope, we can use the slope-intercept form of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
To find the y-intercept, we can use one of the givenpoints on the line. Let's use the point (-4, -4):
y = mx + b
-4 = (1/2)(-4) + b
-4 = -2 + b
b = -2
Therefore, the slope-intercept form of the line is y = (1/2)x - 2.
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Answer:
A
Step-by-step explanation:
For point-slope form, you need a point and the slope.
y - y₁ = m(x - x₁)
Looking at the graph, the points you have are (4, 0) and (-4, -4). You can use these points to find the slope. Divide the difference of the y's by the difference of the x's/
-4 - 0 = -4
-4 - 4 = -8
-4/-8 = 1/2
The slope is 1/2. This cancels out choices C and D.
With the point (-4, -4), A is the answer.
Answers
The first entry of the resultant matrix is 5 .
What is a Matrix ?
A matrix is a array of numbers or expressions used in mathematics to solve systems of equations .
The given matrix are 3 x 1 matrix
As they same number of rows and columns so addition can be done.
The resultant matrix is ( 5 1 10 )
The first entry of the resultant matrix is 5 .
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Answer:
It's 5
Step-by-step explanation:
this is because all you really have to do is add 1+4 they just put it this way to be mean lol