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:
1.5b (kg)
Step-by-step explanation:
Let's begin by listing out the variables we were given:
weight of the watermelon = b (kg),
weight of watermelon = (2/5) * weight of candies
weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4
weight of candies = 2.5b (kg)
How much is the weight of the box of candies greater than the weight of the watermelon is given by:
weight of the box of candies - weight of watermelon= 2.5b - b = <u>1.5b</u> (kg)
<u>Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg) </u>
Answer:
D
Step-by-step explanation:
You can plug in the given x and y values into the equations and see which one works for both of them.
D works for both of them:
5 = 5/4(4)
0 = 5/4(0)
You will move 1/3 of the circumference of the circle with a radius of 3m.
C=2πr so C/3 is:
d=2πr/3, we are told that the radius is 3m so:
d=2π3/3
d=2π m
d≈6.28 m (to nearest hundredth of a meter)
