A researcher wants to determine if there exists a linear correlation between the length in inches of adult alligators and their weight in lbs. The following data was collected, use it to answer the following questions.
Alligator Length (inches) Weight (pounds)
121 662
98 448
124 776
84 512
93 646
114 606
72 521
75 474
130 691
78 454
Show work: Take a picture of your calculator work/result.
a) (1 pt)
Calculate the correlation coefficient. Round to three decimals.
rr =
b) (2 pts)
What does rr tell you about the relationship of the data? Use the context of the data in your explanation.
c) (2 pts)
Find the equation of the regression line. Write in the form y=mx+by=mx+b . Round each value to two decimals.
d) (2 pts)
Identify the slope and describe what the slope means in the context of the data. Be sure to include units of measures in your explanation.
e) (1 pts)
Predict the weight of an alligator that is 108 inches long. Round your answer to two decimals.
f) (2 pts)
Would it be meaningful to use this model to predict the weight of an alligator that is 211 inches long? Explain why or why not.