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

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Statistics

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

2)   Given the paired data set below ofSuper Models ( heights and weights) to determine the line ofregression.

                                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 ofCorrelation.

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

Answer & Explanation Solved by verified expert
3.7 Ratings (614 Votes)

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
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