A researcher measured the frequency (the number of wing vibrations per second) of chirps made by...

A researcher measured the frequency (the number of wing vibrations per second) of

     chirps made by a ground cricket, at various ground temperatures.  The data is below:

Chirps/Second	Temperature (º F)
20.0	88.6
16.0	71.6
19.8	93.3
18.4	84.3
17.1	80.6
15.5	75.2
14.7	69.7
17.1	82.0
15.4	69.4
16.2	83.3
15.0	78.6
17.2	82.6
16.0	80.6
17.0	83.5
14.1	76.3

Since crickets are cold-blooded, the rate of their physiological processes and their overall metabolism are influenced by temperature. Hence, chirping frequency (a metabolic process) is dependent upon temperature. Construct a scatter plot for this bivariate dataset.

Determine the sample correlation coefficient. Is there a linear relationship between these 2 variables? If so, describe it.

Determine the equation of the least squares regression line and overlay the graph of the least square regression line on the scatter plot you constructed in (a).

Determine R² for this model. Interpret its meaning.

What is the slope of the line of best fit? Interpret the meaning of the slope in the context of this problem.

Use the equation that you determined in (c) to predict the chirping frequency of the

   cricket when the ground temperature is 90˚ F.

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orchestra answered 3 years ago

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