Question

1) Using the Binomial Distribution formula find the probability that a family that has 13    children   has 10 girls.

2)   Given the paired data set below of Super Models ( heights and weights) to determine the line of regression.

                                X |   65    67     62     70      66     69     61       67     65     69

                               Y |110 105   113    107    109   113   104    110   116   115

3)   Calculate the Coefficient of Correlation.

4) Using the data from problem 23 predict the weight of a Model who is 69 inches tall.

Answer 1

Ans 1 ) let us consider the probability of girl = p = 0.5

n = 13

P(X=10) =13C10(0.5)10(0.5)3 = 0.034912

Ans 2 ) using excel>data>data analysis >Regression

we have

Regression Analysis
Regression Statistics
Multiple R	0.173042807
R Square	0.029943813
Adjusted R Square	-0.09131321
Standard Error	4.259113839
Observations	10
ANOVA
	df	SS	MS	F	Significance F
Regression	1	4.479594423	4.479594423	0.246944978	0.632601336
Residual	8	145.1204056	18.1400507
Total	9	149.6
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	94.44993663	31.72298026	2.977334912	0.017672145	21.29661297	167.6032603
X	0.238276299	0.479491317	0.496935588	0.632601336	-0.86743266	1.343985258

the regression equation is

y = 94.45+0.24 x

Ans 3 ) the correlation coefficient is 0.173

Ans 4) the weight of a Model who is 69 inches tall is

y = 94.45+0.24*69 = 111.01