Answered: Before taking the plunge into…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 6CR

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Question

Before taking the plunge into videoconferencing, a company ran tests of its current internal computer network. The goal of the tests was to measure how rapidly data moved through the network given the current demand on the network. Twenty files ranging in size from 20 to 100 megabytes (MB) were transmitted over the network at various times of day, and the time to send the files (in seconds) recorded. File Size (MB) Transfer Time (sec) 67 24.3 59 20.8 61 31.4 75 31.3 22 8.8 22 15.5 34 20.5 49 17.7 65 33.4 22 20.1 29 18.7 99 41.9 56 28.9 61 31.2 96 42.5 54 31.1 81 33.6 56 20.6 32 21.9 97 33.4 (a) Estimate the least squares linear equation for Transfer Time on File Size. Interpret the fitted intercept and slope. Be sure to include their units. Note if either estimate represents a large extrapolation and is consequently not reliable. Complete the equation for the fitted line below. Estimated Transfer Time (sec) =.... +....File Size (MB) (d) To make the system look more impressive (i.e., have smaller slope and intercept), a colleague changed the units of y to minutes and the units of x to kilobytes (1 MB = 1,024 kilobytes). What does the new equation look like? Does it fit the data any better than the equation obtained in part b? -The new slope is.....minutes per kilobyte. -The new intercept is....minutes.