Year	Amount Spent on Science,
Space, and Technology
(millions of dollars)	Amount Spent on Pets
(billions of dollars)
2000	18,794	39.5
2001	19,553	42.1
2002	20,934	44.8
2003	21,031	49.0
2004	22,829	49.6
2005	23,797	53.3
2006	23,384	57.1
2007	25,725	62.0
2008	27,931	65.9
2009	29,649	67.3 Calculate the value of the correlation coefficient for the amount spent on science, space, and technology and the amount spent on pets. (Round your answer to four decimal places.)
r 

The correlation coefficient \( r \) for the amount spent on science, space, and technology and the amount spent on pets is \( 0.9737 \). This indicates a very strong positive relationship between the two variables.

Would you like more details or have any questions about the calculation?

Here are 5 related questions:
1. What does a correlation coefficient close to 1 imply in practical terms?
2. How does a positive correlation affect predictions between these two datasets?
3. Could this correlation imply causality between science/technology spending and pet spending?
4. What are the limitations of using only the correlation coefficient to analyze relationships?
5. How could we use linear regression to model the relationship between these variables?

**Tip:** A high correlation does not imply a causal relationship; it simply indicates that the two variables move together.

Calculate the value of the correlation coefficient for the amount spent on science, space, and technology and the amount spent on pets. (Round your answer to four decimal places.)

Calculate the Pearson correlation coefficient for the relationship between the amount spent on science, space, and technology and the amount spent on pets. This problem involves statistical concepts like correlation and data analysis. Suitable for college-level students interested in understanding statistical relationships.

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