Cathy is conducting an experiment to measure the relation between a light bulbs intensity and the distance
Question:
Cathy is conducting an experiment to measure the relation between a light bulb’s intensity and the distance from the light source. She measures a 100-watt light bulb’s intensity 1 meter from the bulb and at 0.1-meter intervals up to 2 meters from the bulb and obtains the following data.
Physics theory states that the intensity of a light bulb is related to the distance from the light bulb through a power equation.
(a) Draw a scatter diagram treating distance as the explanatory variable.
(b) Determine the logarithm of both the x- and y-values so that X = log x and Y = log y. Draw a scatter diagram of the transformed data.
(c) Find the least-squares regression line of the transformed data.
(d) Find the power equation of best fit.
(e) Use the power equation of best fit to predict the intensity of a 100-watt light bulb that is 2.3 meters away.
Step by Step Answer:
Statistics Informed Decisions Using Data
ISBN: 9781292157115
5th Global Edition
Authors: Michael Sullivan