A magazine listed the number of calories and sodium content (in milligrams) for

Question

A magazine listed the number of calories and sodium content (in milligrams) for 13 brands of hot dogs. Create a 95% confidence interval for the slope of the regression line and interpret your interval in the proper context. Dependent variable is: Sodium R squared = 57.2% s = 82.56 with 13-2 = 11 degrees of freedom Variable Coefficient SE(Coeff) t-ratio P-value Constant 88.8565 89.98 0.99 0.3446 Calories 2.37595 0.6192 3.84 0.0028 I'm % confident that for every additional ________ hot dogs have, on average, between and _____ (Round to two decimal places as needed. Use ascending order.)

Explanation / Answer

Solution:

here for 95% CI, t = 2.201

std error = 0.6192

hence confidence interval = sample mean ± t*std error
= 2.37595 ±2.201*0.6192
= (1.0131 , 3.7388)

hence I am 95% confident that for every additional calories hot dogs have, on average between 1.01 and 3.74 sodium content

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