Linear Regression and Correlation
1.) Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained. Based on the estimated regression equation below, if the return rate were to decrease by 10% the rate of immigration to the colony would:
1 point
Captionless Image
a. increase by 34%
b. increase by 3.4%
c. decrease by 0.34%
d. decrease by 3.4%
2.) The correlation coefficient is used to determine:
1 point
a. A specific value of the y-variable given a specific value of the x-variable
b. A specific value of the x-variable given a specific value of the y-variable
c. The strength of the relationship between the x and y variables
d. None of these
3.) Regression modeling is a statistical framework for developing a mathematical equation that describes how
1 point
a. one explanatory and one or more response variables are related
b. several explanatory and several response variables response are related
c. one response and one or more explanatory variables are related
d. All of these are correct.
4.) If there is a very strong correlation between two variables then the correlation coefficient must be
1 point
a. any value larger than 1
b. much smaller than 0, if the correlation is negative
c. much larger than 0, regardless of whether the correlation is negative or positive
d. None of these alternatives is correct.
5.) A regression analysis between sales (in Php 1000) and price (in Peso) resulted in the following equation: The equation below implies that an
1 point
Captionless Image
a. increase of 1 in price is associated with a decrease of 8 in sales
b. increase of 8 in price is associated with an increase of 8,000 in sales
c. increase of 1 in price is associated with a decrease of 42,000 in sales
d. increase of 1 in price is associated with a decrease of 8000 in sales
6.) In least squares regression, which of the following is not a required assumption about the error term?
1 point
a. The expected value of the error term is one.
b. The variance of the error term is the same for all values of x.
c. The values of the error term are independent.
d. The error term is normally distributed.
In regression, the equation that describes how the response variable
is related to the explanatory variable (x) is:
1 point
a. the correlation model
b. the regression model
c. used to compute the correlation coefficient
d. None of these alternatives is correct.
7.) The relationship between number of beers consumed (x) and blood ******* content was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study:
1 point
Captionless Image
a. each beer consumed increases blood ******* by 1.27%
b. on average it takes 1.8 beers to increase blood ******* content by 1%
c. each beer consumed increases blood ******* by an average of amount of 1.8%
d. each beer consumed increases blood ******* by exactly 0.018
8.) In regression analysis, the variable that is being predicted is the
1 point
a. response, or dependent, variable
b. independent variable
c. intervening variable
d. is usually x
9.) In the case of an algebraic model for a straight line, if a value for the x variable is specified, then
1 point
a. the exact value of the response variable can be computed
b. the computed response to the independent value will always give a minimal residual
c. the computed value of y will always be the best estimate of the mean response
d. none of these alternatives is correct.
Pasagot po please.. Thank you po mga ka-phc.
1.) Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained. Based on the estimated regression equation below, if the return rate were to decrease by 10% the rate of immigration to the colony would:
1 point
Captionless Image
a. increase by 34%
b. increase by 3.4%
c. decrease by 0.34%
d. decrease by 3.4%
2.) The correlation coefficient is used to determine:
1 point
a. A specific value of the y-variable given a specific value of the x-variable
b. A specific value of the x-variable given a specific value of the y-variable
c. The strength of the relationship between the x and y variables
d. None of these
3.) Regression modeling is a statistical framework for developing a mathematical equation that describes how
1 point
a. one explanatory and one or more response variables are related
b. several explanatory and several response variables response are related
c. one response and one or more explanatory variables are related
d. All of these are correct.
4.) If there is a very strong correlation between two variables then the correlation coefficient must be
1 point
a. any value larger than 1
b. much smaller than 0, if the correlation is negative
c. much larger than 0, regardless of whether the correlation is negative or positive
d. None of these alternatives is correct.
5.) A regression analysis between sales (in Php 1000) and price (in Peso) resulted in the following equation: The equation below implies that an
1 point
Captionless Image
a. increase of 1 in price is associated with a decrease of 8 in sales
b. increase of 8 in price is associated with an increase of 8,000 in sales
c. increase of 1 in price is associated with a decrease of 42,000 in sales
d. increase of 1 in price is associated with a decrease of 8000 in sales
6.) In least squares regression, which of the following is not a required assumption about the error term?
1 point
a. The expected value of the error term is one.
b. The variance of the error term is the same for all values of x.
c. The values of the error term are independent.
d. The error term is normally distributed.
In regression, the equation that describes how the response variable
is related to the explanatory variable (x) is:1 point
a. the correlation model
b. the regression model
c. used to compute the correlation coefficient
d. None of these alternatives is correct.
7.) The relationship between number of beers consumed (x) and blood ******* content
was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study:1 point
Captionless Image
a. each beer consumed increases blood ******* by 1.27%
b. on average it takes 1.8 beers to increase blood ******* content by 1%
c. each beer consumed increases blood ******* by an average of amount of 1.8%
d. each beer consumed increases blood ******* by exactly 0.018
8.) In regression analysis, the variable that is being predicted is the
1 point
a. response, or dependent, variable
b. independent variable
c. intervening variable
d. is usually x
9.) In the case of an algebraic model for a straight line, if a value for the x variable is specified, then
1 point
a. the exact value of the response variable can be computed
b. the computed response to the independent value will always give a minimal residual
c. the computed value of y will always be the best estimate of the mean response
d. none of these alternatives is correct.
Pasagot po please.. Thank you po mga ka-phc.