Which statement(s) are correct about the Regression shown here? (Note: There are 2 correct answers).
A. The dependent variable is the outside temperature
B. The relationship between outside temperature and number of customers per hour is a Linear Regression
C. The dashed lines indicate with 95% confidence where all of the process data should fall between
D. The dashed lines indicate with 95% confidence the estimate for the Quadratic Regression Line
E. The predicted number of customers per hour is close to 5 if the outside temperature is 10 deg C
A valid mathematical Regression represents all of the characteristics shown except _________________.
A. All of the standardized residuals will be within ? Standard Deviations
B. The sum of the residuals is zero
C. The residuals when plotted follow a Normal Distribution
D. Most standardized residuals are within ? Standard Deviations
E. The Residual is equal to the difference between the observed and predicted values
Contingency Tables are used to test for association, or dependency, between two or more classifications.
A. True
B. False
It would be more likely than not for a Belt conducting a Regression Analysis to find that the _______________________.
A. r2 value is smaller than the absolute value of r
B. Correlation Coefficient equals r2
C. Coefficient of Determination is less than r2
D. Correlation Coefficient equals r divided by 2
The calculation of Column Total times Row Total divided by Grand Total yields expected values from what type of chart?
A. Pareto Chart
B. Sakami Table
C. Contingency Table
D. None
Which statement is NOT correct about the Fitted Line Plot shown here?
A. The independent variable is the reactant
B. If the reactant was 10 units, with 95% confidence we would expect a minimum yield of 148 units
C. With at least 95% confidence, we can expect less than 10 units of Yield when the reactant is at a value of 1
D. A reactant value between 6 and 8 units yields around 40 to 60
E. When the reactant increases, the expected yield would increase
A valid Multiple Linear Regression (MLR) is characterized by all of these except?
A. It is an assumption that the X's (inputs) are not correlated to each other
B. The X's (inputs) are assumed to be independent of each other
C. The Residuals from MLR analysis have to be Normally Distributed
D. MLR is conducted based on a deliberate form of experimentation
E. It is not possible to evaluate interactions in a MLR analysis
Choose those characteristics of a Simple Linear Regression (SLR) Analysis that are applicable. (Note: There are 3 correct answers).
A. The Correlation Coefficient is always greater than the Regression Coefficient in a SLR
B. General Regression Analysis deals only with Continuous Data
C. Non-linear Regressions can explain curvature when with more statistical confidence than Linear Regressions
D. SLR can help quantify the significance of variation in X that influences the variation in Y via a mathematical equation
E. A Correlation does not explain causation but a Regression Analysis with a statistically valid mathematical equation does explain causation
When a Belt properly analyzes the results of an experiment he must examine the Residuals in expectation of finding all of the following except _________.
A. Some Residuals higher than others
B. Residuals will represent a Linear Regression
C. All Residuals within 2 Standard Deviations of the Mean
D. Some Residuals lower than others
For the data set shown here which of these statements is/are true?
A. Hypothesis Testing of Means or Medians cannot be done since there are an unequal number of observations for the 3 samples
B. A Paired T-test would be applicable for comparing Grade B and Grade A since they follow each other in the data set
C. Grade A has the lowest sample Mean of the 3 samples
D. Grade A has a higher sample Mean than Grade B
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