Question

In: Statistics and Probability

Using the data below: ∑ ?? = 212.47; ∑ ?? 2 = 5267.45; ∑ ?? =...

Using the data below:

∑ ?? = 212.47; ∑ ?? 2 = 5267.45; ∑ ?? = 344.30; ∑ ?? 2 = 13731.30; ∑ ???? = 8271.52 ;

BMI = 13.8 + 0.256*Age; n = 9

a. Test for significance of regression model using alpha = 0.05

b. Calculate the standard error for the slope and for the intercept

c. Determine the coefficient of determination and discuss the adequacy of the model

d. Test the hypothesis that a correlation exists for alpha = 0.01.

Expert Solution

(a)

The significance of regression model can be test either using slope or using F test. Here I used test for slope.

Following ar ethe calculations:

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Conclusion: There is no evidence that model is significant.

(b)

Standard error of intercept is

c:

Interpretation: 14.59% of variation in dependent variable y is explained by model.

d:

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orchestra answered 2 years ago

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