Various doses of a poisonous substance were given to groups of 25 mice and thefollowing results were observed:Dose (mg)X46810121416Number of deathsy1368141620(a) Find the equation of the least squares line fit to these data(b) Estimate the number of deaths in a group of 25 mice who receive a 7 mg dose ofthis poison.

Answered: Image /qna-images/answer/dbf1a713-7d82-4dd1-abd3-6bdc7637fd86.jpg

Answered: Various doses of a poisonous substance…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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In a study of 2005 model cars, a researcher computed the least squares regression line of miles per gallon (mpg) on weight (in pounds). They obtained the following equation for this line: mpg = 34.576 - 0.007weight Based on the least-squares line, we would predict a 2005 model car with weight equal to 3,000 pounds would have a mpg of Fill in the blank with: ##.###
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Curing times in days (x) and compressive strengths in MPa (V) were recorded for several concrete specimens. The means and standard deviations of the x and y values were * = 5, s, = 2, 5 = 1350, s, = 100. The correlation between curing time and compressive strength was computed to be r = 0.7. Find the equation of the least-squares line to predict compressive strength from curing time.

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