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A worker would like to know how wage responds to grades. The assumptionis that wage is linear in the grade (w = q1 + q2s).(1) The worker has two observations: one person with wage w1 and grades1, another with different w2 and different s2. Find q1 and q2.(2) A third observation is added: w3 together with s3. Assume w3 is different from w1,w2 and s3 from s1,s2. The worker fits a line to the three observations by minimizing the sum of the squared vertical distances between the line and the data points. Write the minimization problem and solve for q1 and q2. The vertical distance between a line y = ax + b and a point (x0, y0) is |y0 - ax0 - b|. (3) The worker assumes that q2 ≥ 0. Solve the previous minimization problem again, with this constraint added.
Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.
On standard IQ tests, the mean is 100, with a standard deviation of 15. The results are very close to fitting a normal curve. Suppose an IQ test is given to a very large group of people. Find the percent of those people
The credit remaining on a phone card is a linear function of the total calling time. The function gives a line with a slope of -.32, when graphed.
If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area
an equation is given. enter your answers as a comma-separated list. let k be any integer. round terms to three decimal
earl miller a lawyer charges lees plumbing his client 22 of what he can collect for lee from customers whose accounts
The asterisk implies a conditional usually indicated by an arrow. The & sign indicates "and". In Aristotelian logic (X)(FX*GX) logically implies (EX)(FX & GX). Is this true in predicate logic? If not, why not?
question show how to construct a triangle given the length of one side the distance from an adjacent vertex to the
the following table summarises the key facts about two products a and b and three resources q r and s required to
Find the product as a sum containing only sines or cosines
a bag of sand originally weighing 144 pounds was lifted at a constant rate. the sand was half gone by the time the bag had been lifted 18 feet. How much work was done lifting the sand this far?
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
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