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17 April, 11:00

10. Answer True or False for the following statements. If false, justify what would make the statement true. a. If the least-squares equation relating the independent variable x and the dependent variable y for a given problem is y = 2x + 5, then an increase of 1 unit in x is associated with an increase of 2 units in y. b. If your computed correlation coefficient is r = + 1.2, then you have better than a perfect positive correlation. c. A student might expect that there is a positive correlation between the age of his or her laptop and its resale value. d. In simple regression analysis, if the slope of the line is positive, then there is a positive correlation between the dependent variable y and the independent variable x. e. If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be - 1.

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  1. 17 April, 14:27
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    a) TRUE

    b) FALSE

    c) FALSE

    d) TRUE

    e) FALSE

    Step-by-step explanation:

    a)

    TRUE because the slope of the correlation line is 2 and this is the rate of change of y respect to x

    b)

    FALSE

    The correlation coefficient r is always between - 1 and 1, so it can never be greater than one

    c)

    FALSE

    A student might expect that there is a positive correlation between the age of their laptop and its resale value only if after collecting a large enough sample of data that relates age of the student and price of resale of their laptop, he or she finds that there is a positive correlation coefficient r>0

    d)

    TRUE

    If there is a positive correlation, then the greater the x, the greater the y

    e)

    FALSE

    If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0.
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