Re-read the Learning Activity titled “Estimation and Prediction.” In your own wo

Re-read the Learning Activity titled “Estimation and Prediction.” In your own words, explain why the confidence intervals found in Examples 1 and 2 are not describing the same thing. What condition in the problem determines whether you are finding an estimate or making a prediction? If you were presented a scatterplot graph of the same data set with the regression equation included, where would you locate the exact answer to the average value of a four-year old car? Where would you find the estimate for the average value of a four-year old car?

Comment on this statement.

Short proofs and reasons (Recall that Q is an orthogonal matrix and QTQ=I)
(a) In one line explain why the determinant of Q is non-zero.
(b) If Q is nxn and x is any nx1 vector, prove that, Qx.Qy = x.y (dot products)
(c) If l is an eigenvalue of A, prove that l+c is an eigenvalue of A+cI.
(d) Why does a Fourier Series have a term ao/2 but not bo/2?
(e) “The power method computes the largest eigenvalue, but the inverse power method
computes the smallest eigenvalue.” Comment on this statement.
Please be specific and give explaination

The examination will consist of short answer conceptual questions and practical exercises/problem questions.

Pratice E–x-a-m Time: 10/11/2022
Duration : 1 hrs
Question structure:
The examination will consist of short answer conceptual questions and practical exercises/problem questions. The questions will be comparable to those covered in class; therefore, the best form of revision will be to work through lecture and tutorial questions, exercises and problems.
Topic covered: Similar to that screenshot attached

The examination will consist of short answer conceptual questions and practical exercises/problem questions.

Pratice E–x-a-m Time: 10/11/2022
Duration : 1 hrs
Question structure:
The examination will consist of short answer conceptual questions and practical exercises/problem questions. The questions will be comparable to those covered in class; therefore, the best form of revision will be to work through lecture and tutorial questions, exercises and problems.
Topic covered: Similar to that screenshot attached