Answer:
the residual is 0.2032
Step-by-step explanation:
The regression line has been given as:
Y^ = 0.00753X-0.06759
The paired observation for X is (31, 0.369)
The value of X is the empathy score under subject 15 = 31
The value of the brain activity under subject 15 is 0.369
So we have y^ = 0.00753(31) - 0.06759
= 0.1658
Then the residual = y - y^
= 0.369 - 0.1658
= 0.2032
Therefore the residual is 0.2032
Please check the attachment for the table, it will aid you in understanding the solution
y = 180° - x
x = 180° - (82° + 54°) } => y = 82° + 54° = 136°
Answer:
L = 10 in
P = 40 in
Step-by-step explanation:
The area of a square is given by the equation:
A = L²
We rearrange this equation to make L the subject:
Square root both sides:
√A = L
Now we substitute A into our rearranged equation to find L:
L = √A
L = √100
L = 10 in
The perimeter of a square is given by the equation:
P = 4L
Substitute the L we just found to find P:
P = 4(10)
P = 40 in
Answer:
b. (x-3) / (x+1)
c. x/(x+5)
Step-by-step explanation:
b. (x+2)(x-3) / (x+1)(x+2)
c. x(x - 5) / (x + 5 ( x - 5)
= x / x+5
