No tortilla chip aficionado likes soggy chips, so it is important to find charac

Question

No tortilla chip aficionado likes soggy chips, so it is important to find characteristics of the production process that produce chips with an appealing texture. The following data on x = frying time (sec) and y = moisture content (%) appeared in an article.

(d) Predict the value of moisture content when frying time is 10, in a way that conveys information about reliability and precision. (Calculate a 95% PI. Round your answers to two decimal places.)

x 5 10 15 20 25 30 45 60 y 16.3 9.8 8.2 4.1 3.4 2.8 2.0 1.2

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 11.903927 - 0.22586387 x
Sample size: 8
R (correlation coefficient) = -0.81136262
R-sq = 0.6583093
Estimate of error standard deviation: 3.2459694

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

d) 95% PI will be:

(0.82, 18.47)

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 11.903927 2.0875712 0 6 5.7022855 0.0013 Slope -0.22586387 0.066431298 0 6 -3.3999618 0.0145

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