Question #10

Fifty matched pairs of magnitude/depth measurements randomly selected from 10,594 earthquakes recorded in one year from a location in southern California. Find the best predicted depth of an earthquake with a magnitude of 1.5. Use a significance level of 0.05.

View the earthquake measurements.

Earthquake measurements

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Mag	Depth
1.72	2.7
0.57	12.9
1.78	9.8
2.38	10.9
1.91	11.8
0.42	14.5
0.58	15.1
1.16	7.9
2.26	13.1
1.36	10.9
0.03	5.3
0.51	13.7
0.44	17.7
2.15	4.7
2.25	14.7
0.96	12.4
2.92	3.7
1.99	16.6
2.85	17.8
1.11	9.4
1.79	2.6
1.06	8.4
2.09	5.1
0.45	14.9
2.08	7.2
0.08	7.5
0.38	9.3
1.55	7.4
2.76	19.8
0.36	7.3
1.56	6.2
0.83	17.9
1.48	18.7
1.09	14.1
0.51	9.1
0.26	4.2
2.56	6.1
1.67	3.8
2.15	13.3
0.37	4.5
0.96	3.1
1.03	7.9
2.94	3.9
2.92	11.2
2.46	9.8
1.18	6.4
0.65	11.2
2.79	8.4
2.53	15.4
0.68	9.4

View the critical values of the Pearson correlation coefficient, r.

n	=0.05	=0.01	NOTE: To test H0: =0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table.
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
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
70	0.236	0.305
80	0.220	0.286
90	0.207	0.269
100	0.196	0.256
n	=0.05	=0.01

The regression equation is y= __________ + ____________x.

(Round to one decimal place as needed.)

Given that the earthquake has a magnitude of 1.5, the best predicted depth is __________ km.

(Round to one decimal place as needed.)

Question #15

Samples of pages were randomly selected from three different novels. The Flesch Reading Ease scores were obtained from each page, and the TI-83/84 Plus calculator results from analysis of variance are given below. Use a 0.01 significance level to test the claim that the three books have the same mean Flesch Reading Ease score.

View the TI-83/84 Plus calculator results.

One-way ANOVA

F=9.3229612719

p=6.1714236E4

Factor

df=2

SS=1344.01352

MS=672.006758

One-way ANOVA

MS=672.006758

Error

df=33

SS=2378.66729

MS=72.0808269

Sxp= 8.49004281

What is the conclusion for this hypothesis test?

A. Reject H₀. There is sufficient evidence to warrant rejection of the claim that the three books have the same mean Flesch Reading Ease score.

B. Failtoreject H₀. There is insufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.

C. Failtoreject H₀. There is sufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.

D. Reject H₀. There is insufficient evidence to warrant the rejection of the claim that the three books have the same mean Flesch Reading Ease score.