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Testing for a Linear Correlation. In Exercises, construct
Chapter 10, Problem 15BSC(choose chapter or problem)
Problem 15 BSC
Testing for a Linear Correlation. In Exercises, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-5 using a = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-3 exercises.)
Campus Crime Listed below are numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times). Is there sufficient evidence to conclude that there is a linear correlation between enrollment and burglaries? Do the results change if the actual enrollments are listed as 32,000, 31,000, 53,000, and so on?
Enrollment |
32 |
31 |
53 |
28 |
27 |
36 |
42 |
30 |
34 |
46 |
Burglaries |
103 |
103 |
86 |
57 |
32 |
131 |
157 |
20 |
27 |
161 |
Questions & Answers
QUESTION:
Problem 15 BSC
Testing for a Linear Correlation. In Exercises, construct a scatterplot, and find the value of the linear correlation coefficient r. Also find the P-value or the critical values of r from Table A-5 using a = 0.05. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. (Save your work because the same data sets will be used in Section 10-3 exercises.)
Campus Crime Listed below are numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times). Is there sufficient evidence to conclude that there is a linear correlation between enrollment and burglaries? Do the results change if the actual enrollments are listed as 32,000, 31,000, 53,000, and so on?
Enrollment |
32 |
31 |
53 |
28 |
27 |
36 |
42 |
30 |
34 |
46 |
Burglaries |
103 |
103 |
86 |
57 |
32 |
131 |
157 |
20 |
27 |
161 |
ANSWER:
Problem 15 BSC
Answer:
Step1 of 4:
We have Listed below are numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).
Enrollment(x) |
Burglaries(y) |
32 |
103 |
31 |
103 |
53 |
86 |
28 |
57 |
27 |
32 |
36 |
131 |
42 |
157 |
30 |
20 |
34 |
27 |
46 |
161 |
Step2 of 4:
We need to check Is there sufficient evidence to conclude that there is a linear correlation between enrollment and burglaries? Do the results change if the actual enrollments are listed as 32,000, 31,000, 53,000, and so on?
Step3 of 4:
Consider,
Enrollment(x) |