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...

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

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(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.)

Jun 09, 2022

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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...

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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...

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Related Questions & Answers

Submit New Assignment

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...