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Finding Margin of Error: Body Fat and Chocolate Consumed

APSTAT-EVGKGG

Is there an association between someone eating large quantities of chocolate and being overweight? A random sample of $26$ women had their body fat percentage measured and were asked how much chocolate they eat a day. A computer regression analysis of the data is given below:

Dependent variable is: Body fat
$R^2 = 20.26\%$
$s= 7.89 $

Variable Coefficient s.e Coeff t-ratio prob
Constant 23.231 1.567 14.32 0.00001
Chocolate 0.0543 0.0217 2.21 0.037



Assuming the conditions have been satisfied and using $95\%$ confidence, which of the following represents the margin of error for the slope $t$-interval?

A

$(2.056)(0.0217)$

B

$(2.064)(0.0217)$

C

$(1.96)(\cfrac { .0217 }{ \sqrt { 26 } } )$

D

$(2.056)(\cfrac { .0217 }{ \sqrt { 26 } } )$

E

$(2.064)(\cfrac { .0217 }{ \sqrt { 26 } } )$