Question

In: Statistics and Probability

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
  1. Find the value of the linear correlation coefficient.
  2. Letting y represent weights of bears and letting x represent their lengths, find the regression equation.
  3. 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

  1. 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 2 years ago
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