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5) If a couple plans to have eleven children, how many gender sequences are possuble A)...


5) If a couple plans to have eleven children, how many gender sequences are possuble A) 11 C) 2048 B) 121 D) 2.853116706e 11
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5) If a couple plans to have eleven children, how many gender sequences are possuble A) 11 C) 2048 B) 121 D) 2.853116706e 11 6) Given the equation of a regression line is y -1.04x 50.3, determine whether there is a positive 6 inear correlation or a negative linear correlation. A) positive linear correlation B negative linear correlation 7) In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the correlation coefficient, r Rain fall (in inches), x 10.4 8.7 13.3 12.4 18.7 10.2 69 155 15.9 Yield (bushels per acre), y 52.5 482 608 61 84.4 512 33978808 C) 0.899 D) 0.900 B) 0.998 A) 0.981 B-1
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Answer #1

5)

If a couple plans to have eleven children.

Number of gender sequence are possible = 2^11 = 2048

C) 2048

6)

The regression equation is \hat{y} = - 1.04x + 50.3

Slope = - 1.04

Slope is negative so the correlation also negative.

The correct option is

B) Negative linear correlation.

7)

We have to find the correlation coefficient ( r ) .

Formula is

r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[n\sum x^{2}-(\sum x)^{2}][n\sum y^{2}-(\sum y)^{2}]}}

n = 9

x y xy x^2 y^2
10.4 52.5 546 108.16 2756.25
8.7 48.2 419.34 75.69 2323.24
13.3 60.8 808.64 176.89 3696.64
12.4 61 756.4 153.76 3721
18.7 84.4 1578.28 349.69 7123.36
10.2 51.2 522.24 104.04 2621.44
6.9 33.9 233.91 47.61 1149.21
15.5 78 1209 240.25 6084
15.9 80.8 1284.72 252.81 6528.64
Total 112 550.8 7358.53 1508.9 36003.78

r=\frac{9*7358.53-(112)(550.8)}{\sqrt{[9*1508.9-(112)^{2}][9*36003.78-(550.8)^{2}]}}

r=\frac{4537.17}{\sqrt{[1036.1][20653.38]}} =0.981

A) 0.981

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  • In an area of the Great Plains, records were kept on the relationship between the rainfall...

    In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. Round to three decimal places. Rainfall (in inches), 8 6.3 10.9 10 16.3 78 4.5 13.1 13.5 = Yield (bushels per acre), y 46.5 42.2 54.8 55 78.4 45.2 27.9 72 748 O A. 0.981 B. 0.900 OC 0.899 D. 0.998

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