A bank records the number of mortgage applications and its own prevailing interest rate (at the first of the month) for each of 16 consecutive months. Is there a correlation between the interest rate (x) and the number of applicants (y), and if so, is it significant at the 5% or the 1% significance level Answer Choices -0.733, significant at 1% -0.652, no significant correlation -0.587, significant at 5% -0.587, significant at 1% -0.652, significant at 5%

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A bank records the number of mortgage applications and its own prevailing interest rate (at the first of the month) for each of 16 consecutive months. Is there a correlation between the interest rate (x) and the number of applicants (y), and if so, is it significant at the 5% or the 1% significance level Answer Choices -0.733, significant at 1% -0.652, no significant correlation -0.587, significant at 5% -0.587, significant at 1% -0.652, significant at 5%
Interest
9.5
9.9
10.0
10.5
11.0
11.5
11.0
12.0
Number
27
29
25
25
19
20
17
13
Interest
12.0
12.5
13.0
13.5
13.0
12.5
11.5
11.5
Number
15
10
10
20
24
27
29
a = 0.05 a = 0.01
4
0.950
0.999
0.878
0.959
6.
0.811
0.917
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
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
0.236
0.220
70
0.305
80
0.286
90
0.207
0.269
100
0.196
0.256
20
Transcribed Image Text:Interest 9.5 9.9 10.0 10.5 11.0 11.5 11.0 12.0 Number 27 29 25 25 19 20 17 13 Interest 12.0 12.5 13.0 13.5 13.0 12.5 11.5 11.5 Number 15 10 10 20 24 27 29 a = 0.05 a = 0.01 4 0.950 0.999 0.878 0.959 6. 0.811 0.917 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 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 40 0.312 0.402 45 0.294 0.378 50 0.279 0.361 60 0.254 0.330 0.236 0.220 70 0.305 80 0.286 90 0.207 0.269 100 0.196 0.256 20
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