Answer:
around 40%
Step-by-step explanation:
This is a proportion question.
882 x
____ = ____
1,460 100
First, do 882 x 100 and get 88,200.
Then divide 88,200 by 1,460 to get around 60%.
Then 100-60= 40%.
Might be wrong but I'm pretty sure this is the answering method.
Given:
Principal = $273
Interest rate = 5% compounded quarterly
time = 5 years
A = P (1 + r/n)^nt
A = amount of money accumulated plus interest
P = principal
r = interest rate (in decimal form)
n = number of times the interest is compounded per year
t = total number of years the amount is deposited
A = $273 (1 + 0.05/4)⁴*⁵
A = $273 (1 + 0.0125)²⁰
A = $273 (1.0125)²⁰
A = $273 * 1.2820
A = $349.99
$349.99 - 273 = $76.99
The compounded interest amounts to $76.99
1. By the chain rule,
I'm going to switch up the notation to save space, so for example, is shorthand for .
We have
Similarly,
where
To capture all the partial derivatives of , compute its gradient:
2. The problem is asking for and . But is already a function of , so the chain rule isn't needed here. I suspect it's supposed to say "find and " instead.
If that's the case, then
as the hint suggests. We have
Putting everything together, we get
Answer:
Step-by-step explanation:
Hello!
You need to test the hypothesis that the slope of the regression is cero.
I've run in the statistic software the given data for Y and X and estimated the regression line:
Yi= 7.82 -1.60Xi
Where
a= 7.82
b=-1.60
Sb= 3.38
The hypothesis is:
H₀: β = 0
H₁: β ≠ 0
α: 0.05
This is a two-tailed test, the null hypothesis states that the slope of the regression is cero, this means that if the null hypothesis is true, there is no linear regression between Y and X.
The statistic for this test is a Student-t
t= <u> b - β </u> ~t
Sb
The critical values are:
Left:
Right:
t= <u>-1.60 - 0 </u>= -0.47
3.38
the p-value is also two-tailed, you can calculate it by hand:
P(t ≤ -0.47) + (1 - P(t ≤ 0.47) = 0.3423 + (1 - 0.6603) =0.6820
With the level of significance of 5%, the decision is to not reject the null hypothesis. This means that the slope of the regression is equal to cero, i.e. there is no linear regression between the two variables.
I hope this helps!
Answer:
0.235
Hope this helped!!!