Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:...

Listed below are the body lengths (in inches) and weights (in lb) of randomly selected bears:

Length	40 64 65 49 47
Weight	65 356 316 94 86

Find the value of the linear correlation coefficient.
Letting y represent weights of bears and letting x represent their lengths, find the regression equation.
Based on the given sample data, what is the best predicted weight of a bear with a length of 72.0 inch?

Solutions

Expert Solution

Bring data in to excel sheet.

Correlation syntax: "=CORREL(Array 1, Array 2)"

Correlation coefficient r = 0.96. It is perfect positive correlation between length and weight

b. Equation:

y = 12.286x - 467.76

Select Length and weight data and choose scatterplot diagram. select any data point and right click and add trendline. choose "Linear" in the trend line options

Based on the given sample data, what is the best predicted weight of a bear with a length of 72.0 inch?

X = 72

y = 12.286*(72) - 467.76 = 416.83

Predicted weight of a bear is 416.83

orchestra answered 1 year ago

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