Find the standard error of the estimate and the coefficient ofdetermination for the least-squares regression line ŷ = bỏ + b₁ through thepoints(-3,2), (1, 8), (5, 14), (7, 20), (9, 23).Standard Error of the Estimate =Coefficient of Determination =

The following information has been provided: x y -3 2 1 8 5 14 7 20 9 23 The least…

Answered: Find the standard error of the estimate…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

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Use the least squares regression line of this data set to predict a value. Meteorologists in a seaside town wanted to understand how their annual rainfall is affected by the temperature of coastal waters. For the past few years, they monitored the average temperature of coastal waters (in Celsius), x, as well as the annual rainfall (in millimetres), y. Rainfall statistics • The mean of the x-values is 11.503. • The mean of the y-values is 366.637. • The sample standard deviation of the x-values is 4.900. • The sample standard deviation of the y-values is 44.387. • The correlation coefficient of the data set is 0.896. The least squares regression line of this data set is: y = 8.116x + 273.273 How much rainfall does this line predict in a year if the average temperature of coastal waters is 15 degrees Celsius? Round your answer to the nearest integer. millimetres
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Find the standard error of the estimate and the coefficient of determination for the least-squares regression line y = bo + b₁ through the points (-3, 2), (1, 8), (5, 14), (7, 20), (9, 23).