By Cauchy Schwartz inequality, we have -:
Also,
Hence proved the given statement
regression classifier. Consider a classifier of the form 14.2 Interpreting the parameters in a ý = sign(x7B+v), whe...
Let V be the subspace of "vectors" in Hamilton's sense, that is, quat ernions with zero real part. Given a nonzero quaternion q, show that the mapping T V V defined by T(v) is an orthogonal mapping. This means that T(v). T(w) = u·w for all vectors u, w E V (again, V = the purely imaginary quat ernions) What is the mapping when q is an imaginary unit? Give its matrix for the basis i,j,k. For any nonzero quaternion...
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uhlqueness!I so, in what way or ways would the proof and the result differ from those given above? IV-25 In the text we defined the gradient in terms of certain partial de- rivatives. It is possible to give an alternative definition similar in form to our definitions of the divergence and the curl. Thus, Here/is a scalar function of position, s a closed surface, and Δν the volume it encloses. As usual, n is a unit...
Answer all parts please
uhlqueness!I so, in what way or ways would the proof and the result differ from those given above? IV-25 In the text we defined the gradient in terms of certain partial de- rivatives. It is possible to give an alternative definition similar in form to our definitions of the divergence and the curl. Thus, Here/is a scalar function of position, s a closed surface, and Δν the volume it encloses. As usual, n is a unit...
QUESTION 1 Consider the following OLS regression line (or sample regression function): wage =-2.10+ 0.50 educ (1), where wage is hourly wage, measured in dollars, and educ years of formal education. According to (1), a person with no education has a predicted hourly wage of [wagehat] dollars. (NOTE: Write your answer in number format, with 2 decimal places of precision level; do not write your answer as a fraction. Add a leading minus sign symbol, a leading zero and trailing...
3) Consider the following linear regression: y =a + Bx + Show that minimizing the sum of squared residuals ( - ) to obtain OLS estimators of the slope and the intercept results in the following algebraic properties a) b) Ex = 0 = 0 4) You run the following regression: TestScore = a + (Female) + where TestScore is measured on a scale from 400 to 1000, and female is an indicator for the gender of the student. You...
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Find Lease Squares Regression Line (LSRL) equation for the following five- point data set step by step х 2. 6 8 10 у 1 2 3 4 [Select] < x = 22= [Select] < Ey= [Select ] < y2 = [Select) xy [Select ] [ Select) 72 [Select) y n2 y = $y = [Select] < SSxx = 22 - 1 ( x)2 = (Select] SSxy = { xy - 1(Ex) (y) = (Select] < SSyy...
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Practice Problem 18.3 Constants Now let's look at the potential energy of a charge that is in the vicinity of two other charges. Suppose two electrons are held in place 10.0 cm apart. Point a is midway between the two electrons, and point b is 12.0 cm directly above point a. (a) Calculate the electric potential at point a and at...
MATLAB MATLAB MATLAB
Consider the diagram below V R$ Here, each V represents a change in voltage (in volts) at a battery, each R represents a resistance in ohms) at a resistor and each I represents a current (in amps) through a wire. These quantities obey two simple laws: 1. Ohm's law: The voltage drop across a resistor is V = IR. 2. Kirchhoff's second law: The sum of all the voltage changes in a closed loop is zero. Using...
Need help with stats true or false questions
Decide (with short explanations) whether the following statements are true or false a) We consider the model y-Ao +A(z) +E. Let (-0.01, 1.5) be a 95% confidence interval for A In this case, a t-test with significance level 1% rejects the null hypothesis Ho : A-0 against a two sided alternative. b) Complicated models with a lot of parameters are better for prediction then simple models with just a few parameters c)...