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True/False: Q. # 56 - 59
56. The proportion of the Y score variance explained by X score variance equals R squared. 57. With a multiple regression formula of
Ỳ (College GPA) = (.71) * (High School GPA) – (2.08) * (Number of Days Missed in High School) + .91
one would interpret the formula as showing a positive relationship between College GPA and Number of Days Missed in High School.
58. In Multiple regression, beta scores are used to compare relative influence of independent variables on predicting dependent variable.
59. In Multiple Regression, Standard Error of Estimate gets be larger when r (Pearson Product Moment Correlation Coefficient) is smaller.
Note: Open-ended
60. Using #57 Question, write down Null Hypothesis:
56. False
This is because the coefficient of Number of Days Missed in High School is -2.08. This means that there is a negative relationship between College GPA and Number of Days Missed in High School.
58. True
This is because we test the coefficient of the independent variables to check the significance of the model.
59. True
The standard Error of Estimate and r have an inverse relationship. So, when Standard Error of Estimate gets to be larger, r will be smaller.
60. The hypothesis being tested is:
H0: β1 = 0 (Null hypothesis)
H1: β1 ≠ 0
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