Answer: approximately 24
Step-by-step explanation:
We need to plot a regression line.
So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:
(Y -mean(Y ))= a(X-meanX)...........1
Where the formular of a is given the attachment.
N= the of individuals = 5
Y = amount of fat
X = time of exercise
mean(X )= sum of all X /N
= 131/5 = 26.2
mean(Y) = sum of all Y/N
= 104/5 = 20.8
a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2
SXY = Sum of Product X and Y
SX= sum of all X
SY = Sum of all Y
S(X²)= sum of all X²
(SX) = square of sum of X
a = -0.478
Hence we substitute into 1
Y-20.8 = -0.478 (X-26.2)
Y -20.8 = -0.478X - 12.524
Y = -0.478X + 33.324 or
Y = 33.324 - 0.478X (model)
When X = 20
Y = 33.324 - 0.478 × 20
Y = 33.324 - 9.56
Y = 23. 764
Y =24(approximately)
Carefully meaning of formula used in attachment to the solution they are the same.
Answer:
Step-by-step explanation:
To find the amount deposited, we will simply use the formula for calculating simple interest.
Simple Interest = pxrxt/100 (fraction)
Where p = principal
R= Rate
T= Time
Principal is the initial amount deposited which we are ask to find.
R is given to be 6% and T is the time which is given in years
Simple interest is the interest earned over the year which is given to be $400
Lets substitute our variable into the equation
Simple Interest = pxrxt/100 (fraction)
$400 = P × 6 × 3 / 100
$400 = 18p/100 (fraction)
We will then cross multiply
$40 000 = 18 P
To get the value of P, we divide both-side of the equation by 18
4000/18 = 18p/18 (fractions)
$2222.22 = P
P = $2222.22
credits: ummuabdallah
Answer:
She spent 5 hours mowing lawns.
Step-by-step explanation:
To solve, we will just use some algebra
8h + 20 = 60 | Subtract 20 from both sides
8h = 40 | Divide both sides by 8
h = 5
We can confirm this by plugging it back into the original formula.
8(5) + 20 = 60
40 + 20 = 60
60 = 60
