Explore BrainMass

Explore BrainMass

    Computations

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    I am having trouble with this problem. Please mark your final answers in bold. An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on 15 recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm.

    Campaign cost, x Increase in sales, y
    (in millions of dollars) (percent)

    3.62 6.85
    3.81 6.83
    1.54 6.64
    1.72 6.31
    3.29 6.49
    2.02 6.74
    2.44 6.51
    2.88 6.58
    2.01 6.51
    1.45 6.35
    3.19 6.88
    4.01 7.00

    The least-squares regression line for these data has a slope of approximately 0.18. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below.
    1. What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least two decimal places.
    2. What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

    © BrainMass Inc. brainmass.com March 4, 2021, 5:49 pm ad1c9bdddf
    https://brainmass.com/statistics/regression-analysis/computations-effective-advertising-campaigns-13128

    Attachments

    Solution Preview

    see attachment

    I am having trouble with this problem. Please mark your final answers in bold. An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate data on 15 recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage increase in sales (denoted by y) following the campaign, were presented by the firm.

    Campaign cost, x Increase in sales, y
    (in millions of dollars) (percent)

    3.62 6.85
    3.81 6.83
    1.54 6.64
    1.72 6.31
    3.29 6.49
    2.02 6.74
    2.44 6.51
    2.88 6.58
    2.01 6.51
    1.45 6.35
    3.19 ...

    Solution Summary

    An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The value of the y-intercept of the least-squares regression line for these data and the value of the sample correlation coefficient for these data are determined.

    $2.49

    ADVERTISEMENT