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QUESTION

A manufacturer of exercise bicycles is studying the relationship between the number of months an exercise bicycle has been owned and the length of...

a.    Construct a scatter diagram for these data with “Months Owned” on the horizontal  axis, and “Hours Used Last Week” on the vertical  axis.

Note: Try to make relatively full use of the graph area.

                                b.    Describe the general pattern of the relationship between the two variables.

                                c.     Calculate the least squares regression line with hours used as the dependent variable and months owned as the independent variable.

                                                             Note: Express a and b to 4 decimal places of accuracy.

                                d.    Plot the regression line on the scatter diagram you constructed in part (a).

                                e.         Can it be concluded that the slope of the regression line is negative? Formulate and test the appropriate hypotheses at the 5% significance level. Use the critical value approach.

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