Math 075

False

A significant positive correlation between X and Y implies that changes in X cause Y to change.

True

A simple linear regression model is an equation that describes the straight line relationship between a depended y variable and an idependent variable.

Correlation coefficient

A_______ measures the strength of the linear relationship between a dependent variable (Y) and an independent variable (X). It is a unitless measure, therefore does not have an interpretative connotation, as does the coefficient of determination.

Correlation coefficient

After plotting the data point s on a scatter diagram, we have observed an inverse relationship between the independent variable (X) and the dependent variable (Y). Therefore, we can expect both the sample slope and the sample ___ _______ to be a negative value.

D) Slope, correlation coefficient

After plotting the data point s on a scatter diagram, we have the relationship to be falling to the right between the independent variable (X) and the dependent variable (Y). Therefore, we can expect both the sample _____ and the sample _____________ to be negative values.

True

If r=-1 then we can conclude that there is a perfect relationship between X & Y.

(B) slope of the regression

In a simple linear regression analysis the quantity that gives the amount by which Y (dependent variable) changes for a unit change in X (independent variable) is called the

True

In a simple linear regression model, the correlation coefficient coefficient not only indicates the strength of the relationship between independent and dependent variable, but also shows whether the relationship is positive or negative.

1

In a simple linear regression model, the slope term is the change in the mean value of y associated with a ____ unit increase in x.

0

In a simple linear regression model, they intercept term is the mean value of y when x equals __

D) The slope of the regression line must also be positive.

In simple regression analysis, if the correlation coefficient is a positive value, then

_y-intercept

The ____ of the simple linear regression model is the value of y when the mean value of x is zero.

(D) -1 and 1

The correlation coefficient may assume any value between

True

The dependent variable is the variable that being described predicted or controlled

True

The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of Y and the line.

SSE

The least squares point estimates of the simple linear regression model minimize the

False

The least squares simple linear regression line minimizes the sum of the vertical deviations between the line and the data points.

False

The notation refers to the average value of the dependent variable Y.

True

The residual is the difference between the observed value of the dependent variable and the predicated value of the dependent variable.

Linear

The simple linear regression model assumes there is a __ relationship between the dependent variable and the independent variable.

T

The slope of the simple linear regression equation represents the average change in the value of the dependent variable per unit c

C) coefficient of correlation

The strength of the relationship between two quantitative variables can be measured by the:

False

When using simple regression analysis, if there is a strong correlation between the independent and dependent variable, then we can conclude that an increase in the value of the independent variable causes an increase in the value of the dependent variable.

-1, 1

While the range for r2 is between 0 and 1, the range for r is between

( D) squared differences between actual and predicted y values

___The least squares regression line minimizes the sum of the

A) Correlation coefficient

______measures the strength of the linear relationship between the dependent and the independent variable.

Linear regression analysis

is a statistical technique in which we use observed data to relate a dependent variable to one or more predictor (independent) variables.

(A) always

n a simple linear regression analysis, the correlation coefficient () and the slope (m) _____ have the same sign.