You are working for a company that developed a new drug which increases HDL cholesterol (the goodcholesterol). A variety of dosages were given to participants during a trial, and the increases of HDL cholesterolwere measured. This information is summarized in the following plot:Dosage vs Increase807060504030201015x - dosage in mg10202530Each point (x, y) in the above plot represents a participant who was given a dosage of æ mg and had an HDLincrease of y mg/dL. This information is stored in the 2d numpy array trial_data. The r-values are stored inthe first row of trial_data (i.e. trial_data[@]) and the y-values are stored in the second row of trial_data (i.e.trial_data[1]).You are now working with a physician to determine the right dosage for one of her patients.1) In order to help your client, first find a vector B =[B1]such that y(x) = B1 + Bza is the least squares line[B2]for the above data. Store the vector B as a 1D-numpy array in beta.2) The physician wants to raise the HDL level by 34 mg/dL. What dosage do you recommend? Save this asdosage.Hint: Recall from lab the various ways to compute least squares solutions. Another function you might findhelpful is numpy.linalg.Istsq, though the methods used in lab are sufficient.The setup code gives the following variables:NameТуреDescriptiontrial_datanumpy arraytrial datadisplay_regressionfunctionhelper function to display least squares liney - increase in HDL in mg/dL Your code snippet should define the following variables:NameТуреDescriptionbetanumpy arraybeta/LSQ linedosagefloatrecommended dosageuser_code.py1 import numpy as npimport numpy.linalg as laimport scipy.linalg as slaimport matplotlib.pyplot as plt23456.beta =...7dosage = ...9# Uncomment to display least squares line10# display_regression(beta)

here I Developed my own trial_data to demonstrate the work. Please make sure you have your…

Answered: sured. This information is summarized…

Engineering

Computer Science

sured. This information is summarized in the following plot: Dosage vs Increase 80 70 60 50 p/bu u 1OH

Np Ms Office 365/Excel 2016 I Ntermed

1st Edition

ISBN:9781337508841

Author:Carey

Publisher:Carey

Chapter3: Performing Calculations With Formulas And Functions

Section: Chapter Questions

Problem 8RA

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A teacher is compiling data and needs to find the number of B grades. A B grade is any score greater than 79 and less than 90. If the data is listed in B1 through B210, which function would count the grades correctly? a. =COUNTIFS(B1:B210,>79,B1:B210,<90) b. =COUNTIF(B1:B210,">79") c. =COUNTIFS(B1:B210,">79",B1:B210,"<90") d. =COUNTIFS(B1:B210,">79","<90")
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When you use a mortgage to purchase a home, the lending institution effectively owns the home. You buy back part ownership in the home with each monthly payment. The part you have bought back is your equity in the home. If the mortgage amount is P dollars, the monthly interest rate is r as a decimal, and the term of the mortgage is t months, then your equity after k payments is E(k) = P((1 + r)k − 1) (1 + r)t − 1 dollars. In this exercise, assume that the mortgage amount is $200,000, the APR is 6% so r = .06/12 and the term of the loan is 30 years (360 months). (a) Find a formula for the equity. (b) Make a graph of the equity over 360 months, the term of the loan. (c) Does the graph show that you have half-ownership in the home halfway through the term of the mortgage? Halfway through the term of the mortgage corresponds to k1 = _______ payments. From the graph, we see that E(k1) is ________ half of the mortgage amount, so we _______ have half-ownership in the home…
Suppose we have a nice young couple who borrow $700000 from the bank, at an annual interest rate of3.124%. The mortgage is a 30 year loan, so they need to pay it off within 360 months total. Our happycouple decide to set their monthly mortgage payment at $2000 per month. Will they pay off the loan intime or not?Note that the monthly balance will be calculated asbalance = (im × previous balance) - monthly paymentwhere the convert annual interest to a monthly multiplier im is calculated as im = (1 +i)1/12 and i = annualinterest rate.Write a loop for track the total payment in 360 months so that we can evaluate if the couple can pay off theloan. Write in R Please and thank you.
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You have been asked to store the IDs and scores of competitors in three rounds of a game and find out total score of each and print the ID of winner who is having maximum score. Following is the data: Using eclipse ID Score 1 Score 2 Score 3 123 23 12 24 234 34 10 32 345 12 34 21 456 10 23 21 567 10 19 23
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Interesting, intersecting def squares_intersect(s1, s2): A square on the two-dimensional plane can be defined as a tuple (x, y, r) where (x, y) are the coordinates of its bottom left corner and r is the length of the side of the square. Given two squares as tuples (x1, y1, r1) and (x2, y2, r2), this function should determine whether these two squares intersect, that is, their areas have at least one point in common, even if that one point is merely the shared corner point when these two squares are placed kitty corner. This function should not contain any loops or list comprehensions of any kind, but should compute the result using only integer comparisons and conditional statements. This problem showcases an idea that comes up with some problems of this nature; it is actually far easier to determine that the two squares do not intersect, and negate that answer. Two squares do not intersect if one of them ends in the horizontal direction before the other one begins, or if the same…
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