What is the correct interpretation for the correlation coefficient r=1r=1? The scatter plot contains points which...

What is the correct interpretation for the correlation coefficient r=1r=1?

The scatter plot contains points which all lie on a horizontal line.
The scatter plot contains points which show no discernable relationship.
The scatter plot contains points that all lie on a line with negative slope.
The scatter plot contains points that all lie on a line with positive slope.

Expert Solution

Correlation r = 1 means the plot has a positive slope.

The correct option is:

The scatter plot contains points that all lie on a line with a positive slope.

orchestra answered 2 years ago

True or False 1) A correlation coefficient based on a scatter plot measures the proportion of...

True or False 1) A correlation coefficient based on a scatter plot measures the proportion of data lying on the regression line. 2)Which of the following is/are incorrect statement(s) about the correlation between two quantitative variables ?X and ?Y? I. A correlation of -0.8 indicates a stronger linear association between X and Y than a correlation of 0.5. II. A correlation of 0 implies ?X and ?Y are not related at all. III. A correlation of -1 indicates that ?=−?Y=−X.

For each exercise: 1. Draw the scatter plot 2. Compute the value of the correlation coefficient...

For each exercise: 1. Draw the scatter plot 2. Compute the value of the correlation coefficient 3. State the Hypothesis 4. Test the significance of the correlation coefficient at α = 0.05 5. Give a brief explanation of the type of relationship State Debt and Per Capita Tax: An economics student wishes to see if there is a relationship between the amount of state debt per capita and the amount of tax per capita at the state level. Based on...

Define the following terms: a. correlation coefficient b. scatter plot c. bivariate relationship

Q1: Define the following terms: a. correlation coefficient b. scatter plot c. bivariate relationship Q2: Provide an example where the outlier is more important to the research than the other observations? Q3: Identify when to use Spearman’s rho

What is the purpose of using correlation as well as the interpretation of the correlation coefficient?...

What is the purpose of using correlation as well as the interpretation of the correlation coefficient? In your video response, please describe at least 2 examples of an extremely low relationship among variables and an extremely high relationship among variables. Finally, discuss the two most common statistical techniques for determining relationships of variables.

a. Draw a scatter plot. Is this a positive or negative correlation? Explain what a positive correlation and negative correlation are. b.Compute the pearson correlation.

For the following scores, x y 0 4 2 9 1 6 1 9 a. Draw a scatter plot. Is this a positive or negative correlation? Explain what a positive correlation and negative correlation are. b.Compute the pearson correlation.

In R programming produce a scatter plot in which you plot the actual used car prices...

In R programming produce a scatter plot in which you plot the actual used car prices (y axis) against the predicted used car prices. Plot a dotted line showing where the points would be if the predicted values equalled the actual values. Give your plot an appropriate title. # YOUR CODE HERE

1. What is the difference between Pearson’s correlation coefficient, r, and the coefficient of determination, r2?...

1. What is the difference between Pearson’s correlation coefficient, r, and the coefficient of determination, r2? What does each statistic tell us about the relationship between two variables? What do these statistics NOT tell us about the relationship between two variables?

What is the purpose of a scatter diagram (Scatter plot)? (Please provide Scatter plot examples)

For the following data (a) display the data in a scatter plot, (b) calculate the correlation...

For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x 1 2 3 4 5 6 Vocabulary size, y 150 1100 1150 1800 2050 2700 A] The correlation coefficient r is

1) What is the sum ∑ X Y? 2) What is the Pearson correlation coefficient (r)...

1) What is the sum ∑ X Y? 2) What is the Pearson correlation coefficient (r) for the data below? 3)If you were to test the Pearson correlation coefficient for significance, what would be the critical value of t (alpha=.05)? 4) If you were to test the Pearson correlation coefficient for significance, what would be the computed value of t (alpha=.05)? 5)If you were to test the Pearson correlation coefficient for significance, what would be your conclusion (alpha=.05)? 6) For...

Question