A large company that produces a "fat-burner" pill claims an average loss of 20 pounds in the first month. A consumer advocacy gr
1 answer:
Answer:
Based on the claim (the average loss is 20 pounds) the system of hypothesis for this case are:
Null hypothesis
Alternative hypothesis:
Step-by-step explanation:
For thi case we want to test if the "fat-burner" pill present and average loss of 20 pounds in the first month.
And in order to test this hypothesis they have the following sample data:
represent the sample size
the sample average fro the lost weight
Based on the claim (the average loss is 20 pounds) the system of hypothesis for this case are:
Null hypothesis
Alternative hypothesis:
And in order to test the hypothesis we can use the following statistic:
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Answer:
a) As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)
And on this case since the value for the slope is positive the best interpretation is:
E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage
Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033
b) For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.
And the best interpretation is given by:
B. Because this is the highway mileage for zero city mpg.
For this reason is not meaningful since we are not interested on 0 or negative city mpg.
c) highway mpg = 6.785 + (1.033 × 18)=25.38 mpg
highway mpg = 6.785 + (1.033 × 25)=32.61 mpg
d) See the figure attached.
Step-by-step explanation:
For this case we have the following linear model:
highway mpg = 6.785 + (1.033 × city mpg)
(a) What is the slope of this line? Say in words what the numerical value of the slope tells us.
As we can see on the equation given the slope os 1.033 since is the value next to the city mpg (independent variable)
And on this case since the value for the slope is positive the best interpretation is:
E. On the average, highway mileage increases by 1.033 mpg for each additional mpg in city mileage
Because we see the if we increase on 1 unit the city mpg then the highway mpg would increase 1.033
(b) What is the intercept? (Enter your answer to three decimal places.)mpgExplain why the value of the intercept is not statistically meaningful.
For this case as we can see in the model the free term correspond to 6.785 and that correspond to the intercept for this case.
And the best interpretation is given by:
B. Because this is the highway mileage for zero city mpg.
For this reason is not meaningful since we are not interested on 0 or negative city mpg.
(c) Find the predicted highway mileage for a car that gets 18 miles per gallon in the city. (Round your answer to two decimal places.)______ mpgFind the predicted highway mileage for a car that gets 25 miles per gallon in the city. (Round your answer to two decimal places.)______ mpg
For this case we just need to replace into the formula and we got:
highway mpg = 6.785 + (1.033 × 18)=25.38 mpg
highway mpg = 6.785 + (1.033 × 25)=32.61 mpg
(d) Draw a graph of the regression line for city mileages between 10 and 50 mpg. (Be sure to show the scales for the x and y axes.)
See the figure attached
Answer:
Area of polygon = 18
Step-by-step explanation:
the given points are :
Point A (2.5)
Point B (8,5)
Point C (8,9)
Point D (5,7)
Point E (2,9)
Firstly , create the array
A 2 5
B 8 5
C 8 9
D 5 7
E 2 9
A 2 5
Now,
Multiply the x coordinates of each vertex by the y coordinate of the next vertex . and then add the result.
⇒ 10 + 72 + 56 + 45 + 10 = 193 .......(1)
Now,
Multiply the y coordinate of each vertex by the x coordinate of next vertex. then add the result
⇒ 40 + 40 + 45 + 14 + 18 = 157 ........(2)
Now, Subtract equation (2) from equation (1), we get
193 - 157 = 36
Now, Divide by 2 to get the area of polygon
∴ we get
Area of polygon = 18
