Answer:
C
Step-by-step explanation:
We want a line of best fit, which means we want to create a line that the data points will lie closest to.
One thing we can do is find the slope between the bottom-leftmost point and the top-rightmost point. This is because if we were to draw a line connecting these two, it will cut through the data quite well.
Those two points are (9, 15) and (16, 18), so the slope is change in y divided by the change in x:
(18 - 15) ÷ (16 - 9) = 3 ÷ 7 ≈ 0.4
Eliminate A and B.
Now we need to determine the y-intercept. This needs no calculations; simply look at the graph: there's no way a line cutting through the y-intercept point of (0, 18) will perfectly match the data points; instead it must be a y-intercept lower than 18. So, eliminate D.
The answer is C.
Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:
The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:
The standard deviation of the sample is calculated as:
Then, we can calculate the standard error of the mean as:
<span>Given that Devorah
is filling a pool with a hose. The volume.H. In liters, of water coming
out of the hose in .m.minutes is given by the function H(m)=17.4m.
However it is a sunny day, and water is also evaporating from the pool.
Therefore,the volume ,V, in liters, of water in the pool m minutes after
devorah started filling it is given by V(m)=17m.
IfE be the volume of water, In Liters ,that has evaporated from the pool m minutes after devorah started filling it .
The formula for E(m) in terms of H(m) and V(m) is given by
E(m) = H(m) - V(m)
And
The formula for E(m) in terms of m is given by
E(m) = 17.4m - 17m = 0.4m</span>
If they have -8 points and +6 points, that'd leave them with a total of -2 points.
So the answer is -2.
