Y = -2x -5
why?
-2x is found since in the table the x value is 0 and the y = -2
-5 because you are adding -5 every time
0= -2
-1 = -7
-2 = -12
-3 = -17
Memorize the definition of standard deviation: the sd is the square root of the average of the squared deviations of the mean. Wow. Let's do it.
Step 1. First we need the mean. That's easy. Add them up and divide by the count. Check if you get 16.88/5 = 2.81333.
Step 2. Now we're going to subtract this from each of the values, and square the result. Don't worry about negative signs, the squaring will get rid of those. Example for the first number:
(1 - 2.813)^2 = 3.29
The list of numbers I get is (rounded, in reality round as little as possible):
3.29, 2.60, 1.41, 2.35, 1.66, 6.18
Step 3: Add them all up. I get 17.49.
Step 4: Divide by the count of numbers. 17.49/6 = 2.91
Step 5: Take the square root from this result. SQRT(2.91) = 1.707305
TIP: Use excel to do all these steps, then run the set of numbers through Excel's built-in sd function (called STDEV.P) and see that you get the same result!
So remember the formula for working out the slope:
(y2 - y1) ÷ (x2 - x1)
We already know two points:
(11, 5) and (20, 5) (Remember points are like (x, y)
Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11
Substitute these into the formula from the start:
(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9
And we can determine the slope is equal to 0 as 0 ÷ 9 = 0
Answer:
y = 1/2x
Step-by-step explanation:
The slope is the rise (up) over run (left or right depending on if the number is negative) between points. So the next point on the graph is up 5 and over 10. this simplified is 1/2. Then you put this into y=mx which is y=1/2x
The sum is of n and 14 can be written as:
n+14=72
