The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete parts (a) through (d) below. Data Table: Height, x IQ score, y 61 103 59 98 66 101 66 107 58 92 64 104 64 115 56 122 ________________________________________________________________________________ the table of critical values for the Pearson correlation coefficient. n alpha=0.05 alpha=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 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 ----------------------------------------------------------------------------------- (a) Display the data in a scatter plot. (b) Calculate the sample correlation coefficient r. r=_______________________ (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is__________linear correlation. Interpret the correlation. Choose the correct answer below. A. As high school girls' heights increase, their IQ scores tend to increase. B. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. C. As high school girls' heights increase, their IQ scores tend to decrease. D. Increases in high school girls' heights cause their IQ scores to decrease. E. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. Your answer is correct. F. Increases in high school girls' heights cause their IQ scores to increase.

The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete parts (a) through (d) below. Data Table: Height, x IQ score, y 61 103 59 98 66 101 66 107 58 92 64 104 64 115 56 122 ____________________________________________________________________ the table of critical values for the Pearson correlation coefficient. n alpha=0.05 alpha=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 21 0.433 0.549 22 0.423 0.537 23 0.413 0.526 24 0.404 0.515 25 0.396 0.505 26 0.388 0.496 27 0.381 0.487 28 0.374 0.479 29 0.367 0.471 30 0.361 0.463 35 0.334 0.430 40 0.312 0.403 45 0.294 0.380 50 0.279 0.361 55 0.266 0.345 60 0.254 0.330 65 0.244 0.317 70 0.235 0.306 75 0.227 0.296 80 0.220 0.286 85 0.213 0.278 90 0.207 0.270 95 0.202 0.263 100 0.197 0.256 ----------------------------------------------------------------------------------- (a) Display the data in a scatter plot. (b) Calculate the sample correlation coefficient r. r=_ (Round to three decimal places as needed.) (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There islinear correlation. Interpret the correlation. Choose the correct answer below. A. As high school girls' heights increase, their IQ scores tend to increase. B. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. C. As high school girls' heights increase, their IQ scores tend to decrease. D. Increases in high school girls' heights cause their IQ scores to decrease. E. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. Your answer is correct. F. Increases in high school girls' heights cause their IQ scores to increase.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete parts (a) through (d) below.

Data Table:

Height, x IQ score, y
61 103
59 98
66 101
66 107
58 92
64 104
64 115
56 122

________________________________________________________________________________

the table of critical values for the Pearson correlation coefficient.

n alpha=0.05 alpha=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
21 0.433 0.549
22 0.423 0.537
23 0.413 0.526
24 0.404 0.515
25 0.396 0.505
26 0.388 0.496
27 0.381 0.487
28 0.374 0.479
29 0.367 0.471
30 0.361 0.463
35 0.334 0.430
40 0.312 0.403
45 0.294 0.380
50 0.279 0.361
55 0.266 0.345
60 0.254 0.330
65 0.244 0.317
70 0.235 0.306
75 0.227 0.296
80 0.220 0.286
85 0.213 0.278
90 0.207 0.270
95 0.202 0.263
100 0.197 0.256

-----------------------------------------------------------------------------------

(a) Display the data in a scatter plot.

(b) Calculate the sample correlation coefficient r.

r=_______________________

(Round to three decimal places as needed.)

(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.

There is__________linear correlation.

Interpret the correlation. Choose the correct answer below.

As high school girls' heights increase, their IQ scores tend to increase.

Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores.

As high school girls' heights increase, their IQ scores tend to decrease.

Increases in high school girls' heights cause their IQ scores to decrease.

Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores.

Your answer is correct.

Increases in high school girls' heights cause their IQ scores to increase.

(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let

α=0.01.

The critical value is_________ (Round to three decimal places)

Therefore, there is ________sufficient evidence at the

1% level of significance to conclude that_________________

between high school girls' heights and their IQ scores.

(Round to three decimal places as needed.)

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