Answer:
The answer should be A, let me know if that's wrong.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
a)
The dependent variable is
Y: length of a dugong
The explanatory variable is
X: age of a dugong
You need to estimate the linear regression of the length of the dugongs as a function of their age.
Using the given data I've estimated the regression using a statistic software:
The regression model is E(Yi)= α + βXi
The estimated model is ^Yi= a + bXi
Where a is the estimate of the intercept and b is the estimate of the slope:
a= 2.02
b= 0.03
And the estimate of the population variance of the error is Se²= 0.03
The estimated regression equation is ^Yi= 2.02 + 0.03Xi
b)
You have to estimate the length of a dugong when its age is 11 years using the model, for this all you have to do is replace X=11 in the regression line and calculate the corresponding ^Y value:
^Yi= 2.02 + 0.03*11= 2.35
The average length of an 11-year-old dugong should be 2.35.
I hope it helps!
A = P*r*t
A = overall value
P = principal (initial value)
r = annual interest
t = time (in years)
Plug in what we have:
4000 = 2000*r*8
Simplify:
0.25 = r
The annual interest is 25%
Question says that "Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the park, and 2.4 miles back from the park. To represent that inequality, he wrote: 2.4 + 4p + 2.4 ___ 26.1"
We see a blank space before 26.1.
So we need to fill the suitable inequality symbol from <, >, ≤ and ≥.
In given expression "2.4 + 4p + 2.4 ___ 26.1", left side part "2.4 + 4p + 2.4", represents the total length of the path that Jason wants to cover this week.
He has decided to run more than 26.1 miles so that means the sum "2.4 + 4p + 2.4" must be greater than 26.1 miles.
Hence we will use > symbol so that left side becomes greater than the right side part.
So the final answer will be :
2.4 + 4p + 2.4 > 26.1