A study is given in which scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several-year period at different locations. Here are the data:

Sea Surface Temperature29.6829.8730.1630.2130.4730.6430.80Growth2.622.582.692.502.482.392.26

(a) Use your calculator to find the mean and standard deviation of both sea surface temperaturexand growthyand the correlationrbetweenxandy. Use these basic measures to find the equation of the least-squares line for predictingyfromx. (Round your answers to three decimal places.)

=+x

(b) Enter the data into your software or calculator, and use the regression function to find the least-squares line. The result should agree with your work in part (a) up to roundoff error. (Round your answers to three decimal places.)

=+x

(c) Say in words what the numerical value of the slope tells you. (Round your answer to three decimal places.)

Every increase of one degree Celsius means aboutfewer mean millimeters of coral growth per year.