Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?
NeX [460]
Answer:
The function is 
.
The slope is 
.
The y-intercept is 
.
Step-by-step explanation:
Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :
We have the following data:
To find the line of best fit for the points given, you must:
Step 1: Find 
and 
as it was done in the table below.
Step 2: Find the sum of every column:
Step 3: Use the following equations to find <em>b</em> and <em>m</em>:
Step 4: Assemble the equation of a line
The graph of the regression line is:
Answer: A <em>plane </em>
This needs to be 20 characters long so this is ok
Answer:
Neither linear nor exponential
Step-by-step explanation:
To check for a linear relationship. Find slope.
slope= (-1 - (-2)) / ( 5 - 2) = 1/3
check other points
slope = (1 - (-1) )/ (8 - 5) = 2/3
check more
slope = (4 - 1) / (11 - 8) = 3/ 3 = 1
Nope.
try assuming an exponential:
y = c * (a^x)
-2 = c* (a^2); -2/c = a^2
-1 = c *(a ^5); -1/c = a^5
1 = c * (a^8), 1/c = a^8
(-2/c)^4 = a^8 = 1/c
16/(c^4) = 1/c
c^3 = 16, then a = root (-2/ cube-root(16) )
The change from negative to postive would not work for y = c(a^x)
so...
assume y = a^x + k
-2 = a^2 + k
-1 = a^5 + k
... I would say neither..
Answer:
pick 1
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
13.23 = 10
2.570= 3
10-3=7
