Answer:
D
Step-by-step explanation:
Answer:
a) There is no a word problem for both expressions (
and
), b) A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left? A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?
Step-by-step explanation:
a) The shampoo problem is a word problem for:
(Final content) = (Initial content) - (Used content)
Then,

Or:

Hence, there is no a word problem for both expressions (
and
).
b) The word problem for
is:
A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left?
The word problem for
is:
A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?
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!