Conduct an f test for a significant regression

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Physical Sciences

The temperature of the upper layer of ocean water is affected by sunlight and wind. There is often a very sharp difference in temperature between the surface zone and the more stationary deep zone. The thermocline layer marks the abrupt drop-off in temperature. The following data were obtained in a study of temperature (x, measured in °C) versus depth (y, measured in meters) above the thermocline layer in the Mediterranean Sea.

x	76	54	146	7	91	130	131	117
y	11.0	16.9	8.0	24.7	17.4	16.0	11.1	16.5

a. Complete the ANOVA summary table for simple linear regression.

b. Conduct an F test for a significant regression and find bounds on the p value associated with this test. Interpret your results.

c. Find a 95% confidence interval for the true value of β₁.

Reference no: EM131436976

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