Question

Consider the following data: X 1.10 1.50 2.50 3.10 3.30 y 4.30 3.20 3.90 5.30 5.80 Use a 1st Order LaGrange Polynomial to int
0 0
Add a comment Improve this question Transcribed image text
Answer #1

f(1.10)=4.30, f(1.50)=3.20, f(3.50)=3.90, f(3.10)=5.30, f(3.30)=5.80

f(x)=−6.12768x^4+54.5257x^3−169.177x^2+213.608x−89.5669

f(2.95)=4.0473834595=4.05

Add a comment
Know the answer?
Add Answer to:
Consider the following data: X 1.10 1.50 2.50 3.10 3.30 y 4.30 3.20 3.90 5.30 5.80...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Consider the following data table: 0 2i = 0.2 0.4 f(xi) = 2 2.018 2.104 2.306...

    Consider the following data table: 0 2i = 0.2 0.4 f(xi) = 2 2.018 2.104 2.306 0.6 0.2 and 23=0.4 is The linear Lagrange interpolator L1,1 (2) used to linearly interpolate between data points 12 (Chop after 2 decimal places) None of the above. -2.50x+0.20 -5.00x+2.00 -5.00x+2.00 5.00x-1.00 Consider the following data table: 2 Ti = 0 0.2 0.4 0.6 f(x) = 2.018 2.104 2.306 0.2 and 23 = 0.4, the value obtained at 2=0.3 is Using Lagrange linear interpolation...

  • Question 7. [7 points] Consider the following set of data: 0.5 1 2 y 0.4621170.761594 0.96402...

    Question 7. [7 points] Consider the following set of data: 0.5 1 2 y 0.4621170.761594 0.96402 a) Write down the Lagrange polynomial of degree 2. Do not simplify. b) Use your Lagrange polynomial to estimate the y value when r = 1.4. c) To how many decimal places is this accurate? (Hint: -0.45f" < 1.2.)

  • A statistical program is recommended. Consider the following data for two variables, x and y. x...

    A statistical program is recommended. Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 33 35 40 36 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to one decimal place and b1 to three decimal places.) ŷ = (b) Use the results from part (a) to test for a significant relationship between x and y. Use α =...

  • A statistical program is recommended. Consider the following data for two variables, x and y. x...

    A statistical program is recommended. Consider the following data for two variables, x and y. x 9 32 18 15 26 y 11 19 20 16 22 (a) Develop an estimated regression equation for the data of the form ŷ = b0 + b1x. (Round b0 to two decimal places and b1 to three decimal places.) ŷ = Comment on the adequacy of this equation for predicting y. (Use α = 0.05.) The high p-value and low coefficient of determination...

  • Consider the following data for two variables, x and y. (a) Develop an estimated regression equation...

    Consider the following data for two variables, x and y. (a) Develop an estimated regression equation for the data of the form ý = bo + 5,x. (Round bo to two decimal places and b, to three decimal places.) Comment on the adequacy of this equation for predicting y. (Use a = 0.05.) The high p-value and low coefficient of determination indicate that the equation is inadequate. The high p-value and high coefficient of determination indicate that the equation is...

  • Consider the following sample data: X y 22 101 24 139 27 250 21 88 23...

    Consider the following sample data: X y 22 101 24 139 27 250 21 88 23 87 14 14 14 16 15 20 Click here for the Excel Data File b. Calculate by and bo. What is the sample regression equation? (Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.) y-hat = c. Find the predicted value for y if x equals 20, 100 and...

  • Consider the following sample data: x 32 23 18 36 13 40 35 24 y 31...

    Consider the following sample data: x 32 23 18 36 13 40 35 24 y 31 37 34 60 25 45 43 38 Click here for the Excel Data File b. Calculate b1 and b0. What is the sample regression equation? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)   yˆy^  +  x c. Find the predicted value for y if x equals 11, 16, and 21. (Round intermediate coefficient values and final answers to...

  • Consider the following sample data: x 11 7 5 5 4 y 3 10 13 6...

    Consider the following sample data: x 11 7 5 5 4 y 3 10 13 6 11 Click here for the Excel Data File a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)   Covariance    b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)   Correlation coefficient   

  • Consider the following sample data: x 8 10 7 5 2 y 11 2 7 4...

    Consider the following sample data: x 8 10 7 5 2 y 11 2 7 4 8 Click here for the Excel Data File a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

  • Consider the following sample data: x 14 16 17 18 20 y 20 14 17 12...

    Consider the following sample data: x 14 16 17 18 20 y 20 14 17 12 13 a. Calculate the covariance between the variables. (Negative value should be indicated by a minus sign. Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b. Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT