When Mentos are dropped into a newly opened bottle of Diet Coke, carbon dioxide is released from the Diet Coke very rapidly, causing the Diet Coke to be expelled from the bottle. To see if using more Mentos causes more Diet Coke to be expelled, Brittany and Allie used twenty-four 2 cup bottles of Diet Coke and randomly assigned each bottle to receive either 2, 3, 4, or 5 Mentos. After waiting for the fizzing to stop, they measured the amount expelled (in cups) by subtracting the amount remaining from the original amount in the bottle. Here are their data:

Here is computer output from a least-squares regression analysis of these data. Construct and interpret a 95% confidence interval for the slope of the true regression line.

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Amount expelled (cups) (2 Mentos) (3 Mentos) (4 Mentos) (5 Mentos) 1.125 1.1875 1.25 1.25 1.25 1.125 1.3125 1.4375 1.0625 1.25 1.25 1.3125 1.25 1.1875 1.375 1.3125 1.125 1.3125 1.3125 1.375 1.0625 1.1875 1.25 1.4375