Problem 3: Fit the following data with a parabola. Use both
Newtonian and Lagrangian interpolating polynomials....
Problem 3: Fit the following data with a parabola. Use both
Newtonian and Lagrangian interpolating polynomials. x 0.75 2 3 4 6
8 8.5 y 1.2 1.95 2 2.4 2.4 2.7 2.6
Use Newton's forward and backward difference formula to
construct interpolating polynomials of degree 1,2, and 3 from the
following data and approximate the function at the specified value
using these polynomials:
f(0.43) if
f(0) =1
f(0.25) = 1.6487,
f(0.5) = 2.7182,
and f(0.75) = 4.4819
Solve problem 2.3 (a, b) using Lagrangian
Method.
Hint: if you use the Lagrangian
method, problem 2.3 will be as follows.
If X denotes the number of CDs and
Y denotes the number of DVDs: Using the Lagrangian multiplier
method, determine the values of X and Y that maximize the value of
the function U=(X^0.5)(Y^0.5) subject to
200=5X+20Y
Thus, problem II asks to
solve followings :
Max U=(X^0.5)(Y^0.5)
s.t. 200= 5X
+20Y
Using the following data (already sorted), use a goodness of fit
test to test whether it comes from an exponential distribution. The
exponential distribution has one parameter, its mean, μ
(which is also its standard deviation). The exponential
distribution is a continuous distribution that takes on only
positive values in the interval (0,∞). Probabilities for
the exponential distribution can be found based on the following
probability expression:
.
Use 10 equally likely cells for your goodness
of fit test.
Data...
Use the Lagrange interpolating polynomial to approximate √3 with the function f(x)= 3x-0.181and the values x0=-2, X1=-1, X2=0, X3=1 and X4=2.(Uses 4 decimal figures)
Problem 3: Electric Cars (No StatCrunch Data
Set)
According to both a Consumer Report’s and a AAA survey, about 1
in 5 Americans will buy an electric car as their next vehicle. To
test this claim, an independent surveyor obtained records for 2018
car sales. The surveyor generated a random sample of 285 car sales
and found that 80 of these new car purchases were of electric
cars.
e. Explain the connection between the confidence interval and
the hypothesis test...
Problem 3: Electric Cars (No StatCrunch Data
Set)
According to both a Consumer Report’s and a AAA survey, about 1
in 5 Americans will buy an electric car as their next vehicle. To
test this claim, an independent surveyor obtained records for 2018
car sales. The surveyor generated a random sample of 285 car sales
and found that 80 of these new car purchases were of electric
cars.
Using a = 0.05, is there sufficient evidence to conclude that
the...
Problem 3: Electric Cars (No StatCrunch Data
Set)
According to both a Consumer Report’s and a AAA survey, about 1
in 5 Americans will buy an electric car as their next vehicle. To
test this claim, an independent surveyor obtained records for 2018
car sales. The surveyor generated a random sample of 285 car sales
and found that 80 of these new car purchases were of electric
cars.
Check the three conditions of the Central Limit Theorem that
allow you...
Q.1 Marks 2 (CLO 3)
From the following data, you are required to: -
(a) Fit the regression line Y on X and predict Y if x = 20
(b) Fit the regression line X on Y and predict X if y = 10
Y
X
14
4
4
12
2
8
2
6
4
4
6
4
4
16
12
8
Note : Answers should be in Word or
Excel Format
Does "Punishment" fit into the category of Realism, Naturalism,
or both? Use specific examples from the story to explain your
answer and show your understanding of the movement(s).
As a reminder, all reading responses need to be approximately 1
double-spaced page in length.