Question

1. A chemist in interested in determining the weight loss of a particular compound as a function of the amount of time the compound is exposed to the air. The data below give the weight losses associated with settings of the exposure time.

                  Weight Loss (in pounds)           Exposure Time (in hours)

        ____________________________________________________

                          4.0                                                  4

                           6.0                                                  5

                                2.0                                             3

                           .                                                    .

                                 .                                                        .

                           9.0                                                  6

        ____________________________________________________

         Use the computer printout (below) to answer the questions.

* * * *   L I N E A R            R E G R E S S I O N   * * * *

Dependent Variable:     Weight Loss

Independent Variable: Exposure Time

                         Analysis of Variance

                              Sum of       Mean                             p

Sources     df      Squares     Squares          F          Value

-----------------------------------------------------------------------

Regression     1      70.417       70.417           F_obs         .000

Residual       10       SS_res         MS_res       

-----------------------------------------------------------------------

Total            11     84.917

---------- Variables in the Equation -----------

Variable                   B         SE B          t           p Value   

Exposure Time    2.167       0.311       6.969       0.000      

(Constant)          -5.833       1.745      -3.343       0.007

(d)      Is the slope in the population significantly different from zero?              

TYPE YOUR ANSWER AND SHOW THE EVIDENCE BELOW:

    ______

        

         (e)     What is the prediction equation in this study?

TYPE YOUR ANSWER BELOW:

                  ______

        

         (f)      Interpret the slope of this regression line in this study.

TYPE YOUR ANSWER BELOW:

                  ______

        

          (g)      What is the value of SS_res in this study?

TYPE YOUR ANSWER BELOW:

Answer 1

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Answers

d)

Yes it is different from zero

Reason: p value for Exposure time is 0.000 , so the test is significant. We rejecr null hypothesis ( null hypothesis : Slope is zero )

e)

Weight Loss = -5.833 + 2.167 * Exposure time

f)

A unit change in Exposure time changes 2.167 units of Weight Loss

g)

SSres = 14.5

Reason SSres = SSTotal - SSRegression = 84.917 - 70.417