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study of rare plants that grow on the limestone cliffs of the Northern Swiss Jura mountains. Data on altitude above sca level (meters), plant population

  • study of rare plants that grow on the limestone cliffs of the Northern Swiss Jura mountains. Data on
    altitude above sca level (meters), plant population size (number of plants growing), and molecular
    variance (i.e., the variance in molecular weight of the plants) for a sample of 12 limestone cliffs are reproduced
    in the table. Recall that the researchers are interested in whether either altitude or population size is related to
    molecular variance.
    Population
    Size
    Molecular
    Variance
    Ciff Number
    Alitude
    147
    209
    468
    59,8
    589
    24.4
    700
    28
    42.2
    59.5
    65.
    17.7
    12.5
    27.6
    35.9
    13.3
    3.6
    3.2
    664
    177
    876
    248
    909
    1032
    952
    832
    1099
    982
    1053
    114
    217
    10
    15
    a. Use simple linear regression to investigate the relationship between molecular variance (y) and altitude
    (x). Find and interpret the value of r2
    b. Use simple linear regression to investigate the relationship between molecular variance (y) and population
    size (x). Find and interpret the value of r2.
    c. What are your recommendations to the researchers?

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