Question

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

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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