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Solved: Boats and Manatees The table below lists the
Chapter 11, Problem 5 CRE(choose chapter or problem)
Problem 5CRE
Boats and Manatees The table below lists the numbers of registered pleasure boats (thousands) in Florida and the numbers of watercraft-related manatee deaths for each year of the past decade.
Boats |
90 |
92 |
94 |
95 |
97 |
99 |
99 |
97 |
95 |
90 |
Manatee Deaths |
81 |
95 |
73 |
69 |
79 |
92 |
73 |
90 |
97 |
83 |
a. Test for a linear correlation between the numbers of boats and the numbers of manatee deaths.
b. Find the equation of the regression line. Use the numbers of boats for the independent xvariable.
c. What is the best predicted number of manatee deaths for the year preceding those included in the table? For that year, there were 84 (thousand) registered pleasure boats in Florida. How accurate is that predicted value, given that there were actually 78 manatee deaths in that year?
Questions & Answers
QUESTION:
Problem 5CRE
Boats and Manatees The table below lists the numbers of registered pleasure boats (thousands) in Florida and the numbers of watercraft-related manatee deaths for each year of the past decade.
Boats |
90 |
92 |
94 |
95 |
97 |
99 |
99 |
97 |
95 |
90 |
Manatee Deaths |
81 |
95 |
73 |
69 |
79 |
92 |
73 |
90 |
97 |
83 |
a. Test for a linear correlation between the numbers of boats and the numbers of manatee deaths.
b. Find the equation of the regression line. Use the numbers of boats for the independent xvariable.
c. What is the best predicted number of manatee deaths for the year preceding those included in the table? For that year, there were 84 (thousand) registered pleasure boats in Florida. How accurate is that predicted value, given that there were actually 78 manatee deaths in that year?
ANSWER:
Solution 5CRE
Step 1 of 3
a)
Using the data given in question, the correlation between number of boats and manatee deaths can be found using SPSS.
Click, Analyze-Correlate-bivariate. The correlation coefficient is -0.046.
Correlations |
|||
Boats |
Deaths |
||
Boats |
Pearson Correlation |
1 |
-.046 |
Sig. (2-tailed) |
.900 |
||
N |
10 |
10 |
|
Deaths |
Pearson Correlation |
-.046 |
1 |
Sig. (2-tailed) |
.900 |
||
N |
10 |
10 |
The P value is 0.900 which is greater than 0.05. Hence we fail to reject the claim that there is a linear correlation between number of boats and number of deaths.