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.

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 H0:B1=0 versus Ha:B1 0

e) Determine if the null hypothesis is rejected at a=0.05

Variable Coefficient SE(Coeff) t-ratio P-value Dependent variable is: Weight Intercept 123.986 3.02 41.03 0.0001 R-squared = 94.8% Day - 5.46050 0.343 -15.92 s0.0001 s=6.3

Explanation / Answer

a) standard deviation of the residuals =6.3

b)slope of the regression line =-5.4605

c)standard error of b1 =0.343

d)

here test statistic t =estimated b1/std errorr =-5.4605/0.343=-15.9198

for above test statistic and (n-2=13) degree of freedom p value =0.0000

e)as p value is less than 0.05 level we reject null hypothesis

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