Chapter 12.6, Problem 35E

In Exercises 35-44, round both m and b the nearest hundredth.

35. Commuting to Campus The following data show the commuting distances and commuting times of six college students to their college campus.

Distance (miles)	2	15	16	9	21	5
Time (minutes)	5	25	30	20	35	10

1. a. Determine the correlation coefficient between the commuting distance and the commuting time.
2. b. Determine whether a correlation exists at α = 0.05.
3. c. Determine the equation of the line of best fit for the commuting distance and the commuting time

Table 12.9 Critical Values* for the Correlation Coefficient, r

n	α = 0.05	α = 0.01
4	0.950	0.990
5	0.878	0.959
6	0.811	0.917
7	0.754	0.875
8	0.707	0.834
9	0.666	0.798
10	0.632	0.765
11	0.602	0.735
12	0.576	0.708
13	0.553	0.684
14	0.532	0.661
15	0.514	0.641
16	0.497	0.623
17	0.482	0.606
18	0.468	0.590
19	0.456	0.575
20	0.444	0.561
22	0.423	0.537
27	0.381	0.487
32	0.349	0.449
37	0.325	0.418
42	0.304	0.393
47	0.288	0.372
52	0.273	0.354
62	0.250	0.325
72	0.232	0.302
82	0.217	0.283
92	0.205	0.267
102	0.195	0.254
The derivation of this table is beyond the scope of this text. It shows the critical values of the Pearson correlation coefficient.