1.12 Consider a single-input single-output data set of the form {(xp, yp), p = 1, 2, ..., 16}: X = [X₁ X₂ X₁6][-2.1 -2 -1.1 -1 -0.9 -0.2 -0.1 0 0.1 0.9 1 1.1 1.9 2 2.1 3] Y₁6] = [1 2 1 2 3 1 2 3 4 2 3 4 3 455] [V₁ Y₂ ... ... 42 (a) Apply least-squares linear regression to the data to generate a prediction model yw'x+b*. (b) In a single figure, plot the sixteen data samples and the optimized model y=wx+b* as a straight line in the x-y space. (c) Use the model obtain to predict the output for input x = 1.5.

1.12 Consider a single-input single-output data set of the form {(xp, yp), p = 1, 2, ..., 16}: X = [X₁ X₂ X₁6][-2.1 -2 -1.1 -1 -0.9 -0.2 -0.1 0 0.1 0.9 1 1.1 1.9 2 2.1 3] Y₁6] = [1 2 1 2 3 1 2 3 4 2 3 4 3 455] [V₁ Y₂ ... ... 42 (a) Apply least-squares linear regression to the data to generate a prediction model yw'x+b. (b) In a single figure, plot the sixteen data samples and the optimized model y=wx+b as a straight line in the x-y space. (c) Use the model obtain to predict the output for input x = 1.5.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Suppose we have a video of two white points moving toward each other at a uniform rate against a black background. We encode it via MPEG. In one I frame the two points are 100 pixels apart; in the next I frame they have merged. The final point of merger happens to lie at the center of a 16 x 16 macroblock. (a) Describe how you might optimally encode the Y component of the intervening B (or P) frames. (b) Now suppose the points are in color and that the color changes slowly as the points move. Describe what the encoding of the U and V values might look like.
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