Interpret the slope (least squares regression line provided) statistics assignment help

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    Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric acid researchers wanted to know whether consumption of cola is associated with lower bone mineral density in women. The data shown in the accompanying table represent the typical number of cans of soda consumed in a week and the bone mineral density of the femoral neck for a sample of 15 women. The data were collected through a prospective cohort study. Complete parts (a) through (f).
    Number of Colas per WeekBone Mineral Density (g/cm^2)
    0 0.893
    0 0.884
    1 0.891
    1 0.877
    2 0.888
    2 0.871
    3 0.868
    3 0.876
    4 0.873
    5 0.875
    5 0.871
    6 0.867
    7 0.862
    7 0.872
    8 0.865
    Critical Values for Correlation Coefficient
    n
    30.997
    40.950
    50.878
    60.811
    70.754
    80.707
    90.666
    100.632
    110.602
    120.576
    130.553
    140.532
    150.514
    160.497
    170.482
    180.468
    190.456
    200.444
    210.433
    220.423
    230.413
    240.404
    250.396
    260.388
    270.381
    280.374
    290.367
    300.361
    n
    The least-squares regression line is ^y = -0.0029x + 0.8858
    (b) Interpret the slope.
    Select only one option in parenthesis for each.
    For each additional cola consumed per week bone mineral density will (decrease increase)by (0.0029 1.0054 0.5423 0.8858) g/cm2 on average.

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