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.

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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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A student studying statistics examined whether a relationship exists between the city miles per gallon (mpg) and highway miles per gallon (mpg) for cars and trucks. The miles per gallon of a vehicle describe the typical number of miles the vehicle can drive on one gallon of gas. Using a random sampleof 50 cars and trucks, the student obtained the least squares regression equation: predicted highway mpg = 1.14 .(city mpg) + 5.8 a. Predict the highway mpg for a vehicle that gets an average of 24 miles per gallon when driving in the city. b. Describe the meaning of the number 1.14 in the regression equation above?
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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