If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:Group of answer choices–1.0.0.0. 1.0.either 1.0 or –1.0.Next
Question
If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:Group of answer choices–1.0.0.0. 1.0.either 1.0 or –1.0.Next
Solution
The answer is "either 1.0 or –1.0".
Here's why:
The coefficient of correlation, also known as the Pearson correlation coefficient, measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1.
A correlation coefficient of 1 means that for every positive increase in one variable, there is a positive increase of a fixed proportion in the other. Conversely, a correlation coefficient of -1 signifies that for every positive increase in one variable, there is a negative
Similar Questions
If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is(a) Positive(b) Zero(c) Negative(d) none of these
1. In a data set with a strong linear correlation, the points in the scatter plot approximate a line.Turn on Show least-squares fit line. The least-squares fit line is the “best-fit” line, or theline that most closely “fits” the shape of the data.A. When r = 1, how are the points in the scatter plot related to the least-squares fit line?B. Slowly decrease r. How does this affect where the points are in relation to the line?
D. Set r to –0.90. Click Same r several times. What do the least-squares fit lines forthese scatter plots have in common?A negative r indicates a negative correlation: as x increases, y tends to decrease
3. Set r to 0.00. Click Same r several times.A. Do all the least-squares fit lines for these scatter plots have the same slope?B. Do all the least-squares fit lines have the same y-intercept?C. What do all the least-squares fit lines have in common?When r = 0, there is no correlation in the data. This means that the value of y doesnot seem to be at all related to the value of x
The correlation coefficient of this scatterplot is -0.8Use the drop down menus below to describe the relationship between the two variables. The relationship between the two variables is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.