Question
Which of following statements of T distribution is NOT true? a. The total under-the-curve area is 0.5. b. The mean=median=mode. c. It is a symmetric
Which of following statements of T distribution is NOT true?
a. The total under-the-curve area is 0.5.
b. The mean=median=mode.
c. It is a symmetric bell-shaped curve.
d. It looks more and more like the standard normal distribution as the degree of freedom increases.
The histogram is a suitable graph for __________
a. continuous variables.
b. non-orderable discrete variables.
c. dichotomous variables.
d. orderable discrete variables.
The degree of freedom of a four-by-three (m=4; n=3) crosstabulation is:
a. 12
b. 8
c. 6
d. 9
The Pearson's correlation coefficient is a measure of _______ used to determine the existence and strength of the relationship between two _______ variables.
a. causality; discrete
b. causality; continuous
c. association; discrete
d. association; continuous
The intercept (or say constant) of a simple regression y=a+bx+e is _______.
a. the point where the regression line crosses the x-axis
b. the point where the regression line crosses the y-axis
c. the mean value of x when y=0
d. always larger than the slope
Linear relationship is a relationship between two _______ variables in which the observations displayed in a ______ can be approximated with a ________.
a. continuous; histogram; straight line
b. discrete; bar chart; straight line
c. continuous; scatter plot; U-shape curve
d. continuous; scatter plot; straight line
Regression sum of squares (SS_Regression) _______.
a. is the unexplained portion of total variation in the dependent variable
b. is always larger than the sum of square total (SS_Total)
c. reflects the improvement in the prediction error due to using the regression line
d. is always larger than the sum of square error (SS_Error)
For a Pearson's correlation coefficient (r_(x,y)), which statement is NOT TRUE?
a. It is the square root of coefficient of determination of a simple regression.
b. A positive r_(x,y) implies b >0.
c. It can be zero if two variables are not linearly related.
d. It is possible to have a negative product of r_(x,y)Cov(x,y).
For a simple regression y=a+bx+e, which statement is NOT TRUE?
a. R2 is the squared correlation coefficient between y and its predicted value y .
b. It is possible to have r_(x,y)b <0.
c. The mean square regression equals the sum of square regression.
d. Point (x ,y ) is right on the regression line.
For a simple regression y=a+bx+e of a given valid sample size N, which statement is TRUE? [1 bonus point]
a. If R^2=SS_Regression/SS_Total , then 1-R^2=SS_Error/SS_Total .
b. The error term (e) is assumed to follow an F distribution.
c. As the |r_(x,y) | approaching +1, the MS_Error will be getting larger and larger.
d. The standard error of slope is the variance of the sampling distribution of slopes.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-text-image.webp)
Get Instant Access with AI-Powered Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Step: 3
![blur-text-image](https://dsd5zvtm8ll6.cloudfront.net/includes/images/document_product_info/blur-subtext-image.webp)
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started