University of Virginia STAT STAT 1120 Hi, can someone help me with these questions please? 1) We expect a…

University of Virginia STAT STAT 1120 Hi, can someone help me with these questions please? 1) We expect a…

3) We found some measurement error in our recordings of sea surface temperature and coral growth. The new data values are below, and the equation predicting coral growth y from mean sea surface temperature x is ŷ = 11.6921 − 0.30305x.

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Sea Surface Temperature 29.68 29.87 30.16 30.22 30.48 30.65 30.90

Growth 2.63 2.58 2.68 2.60 2.48 2.38 2.26

3.1) Use the above least squares equation to obtain the seven residuals step by step. That is, find the prediction ŷ for each x value of mean sea surface temperature, and then find the residual y − ŷ. (Round your answers to three decimal places.)

ŷ

y – ŷ

3.2) Find the sum of the residuals (up to roundoff error). (Round your answer to 3 decimal places.)

3.3) The residuals are the part of the response y left over after the straight-line tie between y and x is removed. Find the correlation between the residuals and x values. (Round your answer to 3 decimal places.)

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