1.
Click one of the following links Minitab Data or Excel Data to open a data set. From this data, use software to answer the following: 1. What is the correlation between SAT Math and SAT Verbal?2. What is the slope of the regression equation when using SAT Math as the responsevariable (Y) and SAT Verbal as the predictor variable (X)?
A) Correlation = 0.709; Slope = 0.7375
B) Correlation = 0.709; Slope = 171.7
C) Correlation = 0.748; Slope = 141.9
D) Correlation = 0.621; Slope = 224.6
Feedback: For correlation: Use Stat > Basic Statistics > Correlation and enter SAT Math and SAT Verbal into the Variables window. For slope: Go to Stat>Regression>Fitted Line Plot. Enter SAT Math for the Response (Y) variable and SAT Verbal for the Predictor (X).
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2.
If the correlation between a response variable Y and explanatory variable X is - 0.3, what is the value that defines how much variation in Y is explained by X?
A) 9%
B) 3%
C) - 9%
D) - 3%
Feedback: The phrase in the question "what is the value that explains how much variation in Y is explained by X" refers to the Coefficient of Determination, or r^{2}. Since r = - 0.3 the r^{2} would be equal to (- 0.3)*(- 0.3) = 0.09 or 9%
Points Earned: |
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3.
Describe the type of association shown in the scatterplot above:
A) Positive linear association
B) Negative linear association
C) Positive curvilinear association
D) Negative curvilinear association
Feedback: The scatterplot clearly shows a negative relationship that is curvilinear
Points Earned: |
1.0/1.0 |
4.
Describe the type of association shown in the scatterplot above:
A) Positive linear association
B) Negative linear association
C) Positive curvilinear association
D) Negative curvilinear association
Feedback: The scatterplot clearly shows a negative relationship that is linear
Points Earned: |
1.0/1.0 |
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