Question

(5.03) How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Red Sea.

Here are the data:

Sea surface temperature	29.64	29.83	29.92	29.87	30.44	30.62	30.93
Growth	2.64	2.6	2.6	2.48	2.28	2.38	2.27

Use your calculator to find:

The mean (±± 0.0001) and standard deviation (±± 0.0001) for sea surface temperature:

=x¯____=sx=____

The mean (±±0.0001) and standard deviation (±± 0.0001) for coral growth:

y¯=_____ sy=____

The correlation (±± 0.0001) r = ._______

The slope (±± 0.01) of the equation of the least-squares regression line is b =_____

and the intercept is (±± 0.01) a =______

Answer 1

(A) Finding mean and standard deviations

Use TI 84 calculator

STAT --> EDIT --> enter sea surface temperature data in L1 and Growth data in L2

Press STAT --> CALC --> 2-VarStats

Xlist : L1

Ylist : L2

Calculate, result is shown below

(B) Finding correlation, slope and intercept

Use TI 84 calculator , 2nd button --> CATALOG --> DiaGnosticOn

Press STAT --> CALC --> LinReg(ax+b)

Xlist : L1

Ylist : L2

Calculate, result is shown below

correlation r = -0.9112

Slope (b) = -0.29

Intercept (a) = 11.36