Question

Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.

x	10.7	28.6	24.5	14.3	7.5	27.7	16.2	20.1
y	24	73	39	23	15	30	15	25

(b) Use a calculator to verify that Σx = 149.6, Σx² = 3227.18, Σy = 244, Σy² = 9930 and Σxy = 5318.0.

Compute r. (Round to 3 decimal places.)

Answer 1

X	Y	X⋅Y	X⋅X	Y⋅Y
10.7	24	256.8	114.49	576
28.6	73	2087.8	817.96	5329
24.5	39	955.5	600.25	1521
14.3	23	328.9	204.49	529
7.5	15	112.5	56.25	225
27.7	30	831	767.29	900
16.2	15	243	262.44	225
20.1	25	502.5	404.01	625

Find the sum of every column

use formula to find correlation coefficient

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