The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t
(in sec) is the time after the object has been released. Use technology to find the correct R2 value of the given data using a quadratic regression.
2 answers:
Answer:
The correct option is 4. The value of R² is 1.000.
Step-by-step explanation:
The table lists the distance d (in ft) above the ground for an object dropped in a vacuum from a height of 500 feet. The time t (in sec) is the time after the object has been released.
The general form of quadratic regression is
Use technology, we get
The required quadratic regression is
The value of R² is 1.000. Therefore the correct option is 4.
You might be interested in
Answer:
A = $44,778.84
A = P + I where
P (principal) = $10,300.00
I (interest) = $34,478.84 or 12 months
Step-by-step explanation:
Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%
To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?
Formula: ×
Solution: Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.
(This gives you the amount of interest you pay the first month.)
First, convert R as a percent to r as a decimal
r = R/100
r = 50/100
r = 0.5 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,300.00(1 + 0.5/12)(12)(3)
A = 10,300.00(1 + 0.041666667)(36)
A = $44,778.84
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.