Answer: D. Quadratic
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!
Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.
Explanation:
Let the number of basketball hoops did the company previously produce to make the same profit be x.
Total Revenue = Price * Quantity
The total revenue in million dollars is,


The total cost in million dollars is,
Total Cost = One unit cost * Quantity

Profit = Total Revenue - Total Cost

The profit is 15 million.


The value of x is 1 and
.
The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.
As given,
Loan amount is = $45000
Rate of interest = 8.5%
So, Tony's mortgage will attract an interest of:
= $3825 (this is yearly)
And for 1st month it will be =
= $318.75
As given, the first month's payment is $390.60 and this covers the interest Additional amount ($390.60 - $318.75 = $71.85) is a payment against the principle.
Hence, the new principle after the 1st month is $71.85 less than $45000
= 45000-71.85 = $44928.15
Hence, the last option $44928.15 is the correct answer.