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!
Answer: 
Step-by-step explanation:
Given
The goat is tied by a rope to one corner of a rectangular field with length of rope 10 m.
Zoe can graze in an area equal to quadrant of circle with radius 10 m
Area of grazing is
I don't understand what you mean by 300 and 70, unless you meant 300/70 (in that case it would be 30/7).
5/10 would be 1/5
8/100 would be 2/25.
Answer: growth factor = 1.022
Step-by-step explanation:
The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%
What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US
