A soap manufacturer tested a bar of soap to see how long it would last. A test s

Question

A soap manufacturer tested a bar of soap to see how long it would last. A test subject showered with the soap each day for 15 days and recorded the Weight (in grams) of the soap after the shower. Part of the regression output is shown below. Answer parts a through e.

     Variable           Coefficient           SE(Coeff)         t-ratio          P-value

Dependent variable is: Weight

r-squared=95%

s=6.0

A) The standard deviation of the residuals

B) The slope of the regression line

C) The standard error of b1

D) The P-value appropriate for testing Upper H 0 : beta 1 equals 0versus Upper H Subscript Upper A Baseline : beta 1 not equals 0

E) Is the null hypothesis rejected at alpha equals 0.05?

Explanation / Answer

a)

Sdeviation of the residuals is 6.0

b)

slope = -5.35

c)

Se of b1 = -16.37

d)

p value : 0.05

e)

Yes it is rejected at 0.05

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