Part 3: Least Squares The following are hypothetical data on the number of docto

Question

Part 3: Least Squares

The following are hypothetical data on the number of doctors per 10,000 inhabitants and the rate of prematurely delivered newborns for different countries of the world.

Table 3: Number of Doctors Verses the Rate of Prematurely Delivered Newborns

Using the Minitab statistical procedure:

Apply least squares analysis to fit a regression line to the data.

Calculate an F-test and a t-test to test for the significance of the regression.

Test for goodness of fit using R2.

In addition, in a Microsoft Word document, provide a written interpretation of your results in APA format.

Country Doctors per 100,000 Early births per 100,000 1 3 92 2 5 88 3 5 85 4 6 86 5 7 89 6 7 75 7 7 70 8 8 68 9 8 69 10 10 50 11 12 45 12 12 41 13 15 38 14 18 35 15 19 30 16 23 6

Explanation / Answer

The regression equation is
Early births = 105 - 4.32 Doctors

Predictor Coef SE Coef T P
Constant 105.006 3.915 26.82 0.000
Doctors -4.3218 0.3341 -12.94 0.000

here t-test signifies that both p-values are 0 so doctor is important factor in this regression.

S = 7.43605 R-Sq = 92.3% R-Sq(adj) = 91.7%

Analysis of Variance

Source DF SS MS F P
Regression 1 9253.8 9253.8 167.35 0.000
Residual Error 14 774.1 55.3
Total 15 10027.9

here also the p-value =0 that implies that the regression is worthwhile .

test fo correlation

Correlations: Early births, Doctors

Pearson correlation of Early births and Doctors = -0.961
P-Value = 0.000

here p-value =0.00 so that implies that there is strong relationship between doctor and birth

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