1. When no linear relationship exists between variable X and variable Y, r equals which of the following?
a) −∞-∞
b) -1
c) 0
d) +1
e) +∞+∞
2. Pearson’s r correlation measures the relationship between which of the following?
a) Two continuous variables
b) Two categorical variables
c) One continuous and one categorical variable
Solution :
1)
When no linear relationship exists between variable X and variable Y, r equals 0
2)
Pearson’s r correlation measures the relationship between One continuous and one categorical variable
c)
1. When no linear relationship exists between variable X and variable Y, r equals which of...
Which of the following best describes correlation? a.) Correlation measures the strength of the relationship between any two variables. b.) Correlation measures the strength of the linear association between two categorical variables. c.) Correlation measures how much a change in the explanatory variable causes a change in the response variable. d.) Correlation measures the strength of the linear relationship between two quantitative variables.
The following information
regarding a dependent variable (Y in $1000) and an independent
variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
The following information regarding a dependent variable (Y in
$1000) and an independent variable (X) is provided.
Y
Dependent Variable
15
17
23
17
I. The least-squares estimate of the slope
equals:
II. The least-squares estimate of the intercept
equals:
III. If the independent variable increases by 2
units, the dependent variable is expected to
a. decrease by $300
b. decrease by $3000
c. decrease by $3
d. decrease by $2
e. none of the above
The letter corresponding...
Let r be the correlation coefficient. Denote the explanatory variable by X and the responsible variable by Y . Which statement is correct ? (A) Positive r indicates a perfect linear relationship between X and Y . (B) r is always a number between 0 and 1. (C) r is almost 0 if values of X’s and Y ’s are all positive. (D) The correlation of variables −X and Y is −r. (E) None of the above.
True or false?: 1) If X and Y are standardized, then fit a linear regression line of standardized Y on standardized X, correlation between X and Y equals the slope of regression line. 2) If one calculates r for a set of numbers and then adds a constant to each value of one of the variables, the correlation will change. 3) The easiest way to determine if a relationship is linear is to calculate the regression line. 4) If the...
Which of the following statements about the correlation, r, between Y and X is NOT true? A. r measures the strength of the linear association between Y and X. B. r does not provide any information about the strength of non-linear relationships. C. r = 0 means there is no relationship between Y and X. D. Calculating r is not appropriate if the distributions of Y and X are skewed with outliers.
1. The Pearson’s correlation is used to test a relationship between two variables___________. A. if a non-linear relationship is tested. B. if a linear relationship is tested. C. if both variables are continuous (i.e., are measured on an interval or ratio scale). D. if both variables are measured on a nominal scale. E. A & D F. B & C 2. A researcher found a Pearson correlation of r = - 0.28 between self-reported stress level and intensity of physical...
True or false: 1) If X and Y are standardized, then fit a linear regression line of standardized Y on standardized X, correlation between X and Y equals the slope of regression line. 2) If one calculates r for a set of numbers and then adds a constant to each value of one of the variables, the correlation will change. 3) The easiest way to determine if a relationship is linear is to calculate the regression line. 4) If the...
2. Suppose an exact linear relationship exists between two random variables X and Y That is, let Y-α + ßx, where α and β are constants and β > 0. Prove that ρχ,-1 Hint: Substitute α + βΧ into the formula for Pry and apply the covariance rules.