Difficult# 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?