An oceanographer measured the length, in meters, of a deepwater wave and its speed, in meters per second. The results are shown in the following table. Wave Length (m) Speed (m/s) 100 ŷ = 125 130 175 210 350 400 14.5 13.2 16 16.6 21.7 24.5 25 (a) Find the equation of a linear regression line for the data where wave length is the independent variable, x, and speed is the dependent variable. (Round your numerical values to two decimal places.) (b) Using the equation from part (a), estimate the speed (in meters per second) of a wave that is 200 m long. (Round your answer to one decimal place.) m/s
An oceanographer measured the length, in meters, of a deepwater wave and its speed, in meters per second. The results are shown in the following table. Wave Length (m) Speed (m/s) 100 ŷ = 125 130 175 210 350 400 14.5 13.2 16 16.6 21.7 24.5 25 (a) Find the equation of a linear regression line for the data where wave length is the independent variable, x, and speed is the dependent variable. (Round your numerical values to two decimal places.) (b) Using the equation from part (a), estimate the speed (in meters per second) of a wave that is 200 m long. (Round your answer to one decimal place.) m/s
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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An oceanographer measured the length, in meters, of a deepwater wave and its speed, in meters per second. The results are shown in the following table.
(a) Find the equation of a linear regression line for the data where wave length is the independent variable, x, and speed is the dependent variable. (Round your numerical values to two decimal places.)
y= ?
(b) Using the equation from part (a), estimate the speed (in meters per second) of a wave that is 200 m long. (Round your answer to one decimal place.)
? m/s
Transcribed Image Text:100
An oceanographer measured the length, in meters, of a deepwater wave and its speed, in meters per second. The results are shown in the following table.
Wave Length (m) Speed (m/s)
125
130
175
210
350
400
14.5
13.2
16
16.6
21.7
24.5
MY NOTES
25
ASK YOUR TEACHER PRACTICE ANOTHE
(a) Find the equation of a linear regression line for the data where wave length is the independent variable, x, and speed is the dependent variable. (Round your numerical values to two decimal
places.)
ŷ =
(b) Using the equation from part (a), estimate the speed (in meters per second) of a wave that is 200 m long. (Round your answer to one decimal place.)
m/s
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