First, let's find what m is, the slope of the line...
m= y2-y1/x2-x1
m=7-4/3-2 You end up with 3/1 or 3 as your slope.
so far you have... y=3x+b
<span>Take (2,4). y=mx+b or 4=3*2+b, solving for b: b=4-(3)(2). b=-2.</span>
So your final equation is...
<span>y = 3x-2</span>
Answer:
7,2 and 8,5
Step-by-step explanation:
Answer:
The cost per duck is $5.00 and $8.00 for chickens
Step-by-step explanation:
The equation would be like this:
50c + 30d = 550 (divide this by 10)
5c + 3d = 55
3d = 55 - 5c (multiply by 3)
9d = 165 - 15c
Next,
44c + 36d = 532 (divide this by 4)
11c + 9d = 133
11c + 165 - 15c = 133
11c - 15c = 133 - 165
-4c = -32 (divide by -4)
c = 8
Therefore, the cost of each chicken is $8.00
9d = 165 - 15c
9d = 165 - 15(8)
9d = 165 - 120
9d = 45 (divide by 9)
d = 5
Answer:
The unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance
Step-by-step explanation:
Previous concepts
Pearson correlation coefficient(r), "measures a linear dependence between two variables (x and y). Its a parametric correlation test because it depends to the distribution of the data. And other assumption is that the variables x and y needs to follow a normal distribution".
In order to calculate the correlation coefficient we can use this formula:
On this case we got that r =-0.95
In order to find the % of variance explained by the model we need to calculate the determination coefficient given by:

And that means this : "90.25% of the variation of y is explained by the variation in x"
So then the unexplained variance would be 100-90.25 % = 9.75. And that correspond to the percentage of the dependent variable in the correlation is due purely to chance
59/8 because you would do the denominator multipled by the whole number and add what you got with the numerator