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 Temperature:

29.68 29.88 30.16 30.22 30.49 30.65 30.90

Growth:

2.64 2.57 2.68 2.50 2.47 2.38 2.25

(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 about_________fewer mean millimeters of coral growth per year.