Assume that you have paired values consisting of heights (in inches) and weights (in Ib) from 40 randomly selected men. The linear correlation coefficient r is 0.563. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.317. 68.3% of the variation is explained by the linear correlation, and 31.7% is explained by other factors. O B. The coefficient of determination is 0.683. 31.7% of the variation is explained by the linear correlation, and 68.3% is explained by other factors. OC. The coefficient of determination is 0.683. 68.3% of the variation is explained by the linear correlation, and 31.7% is explained by other factors. D. The coefficient of determination is 0.317. 31.7% of the variation is explained by the linear correlation, and 68.3% is explained by other factors.

What is the coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation? Interpret your answer. Choose the correct answer below. O A. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or 0, respectively. This means 100% of the variation in the response variable is explained by the variation in the explanatory variable. O B. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or - 1, respectively. In either case the coefficient of determination is 1, which means 100% of the variation in the response variable is explained by the variation in the explanatory variable. O C. Two variables that have perfect positive or perfect negative linear correlation have a correlation coefficient of 1 or - 1, respectively. In either case the coefficient of determination is 1, which means 0% of the…

The cost of a leading liquid laundry detergent in different sizes is given below Size (ounces)  Cost ($) 16 3.99 32 4.99 64 5.99 200 10.99 A. Write a brief description of the association.B. What is the strength of the relationship between the size of the laundry detergent and the cost? Use the correlation coefficient in your explanation.C. State the model for the size of the laundry detergent and the cost.D. Interpret the slope of your model in context.E. Interpret the intercept of your model in context. F. In the context of the problem is it better to have a positive or negative residual.  Explain.  G. Use the linear model to predict the cost of 300 ounces of laundry detergent.

Which plot indicates a correlation of 0.7? A R 8 8 in 10 A

For a set of correlated data, you calculate that the correlation coefficient (r) is -0.87. What percent of the variation in the dependent variable is explained by variation in the independent variable?  D2L requires decimal format. Convert your percentage to a decimal rounded to the third place. i.e. 51.2218% = 0.512.

Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corresponds to the correlation coefficient. (Click on image for a larger view.) B v 1. r = -0.74 с A ✓ 2. r = -0.49 3. r = -0.97 4. r = 0.76 A B D

Use the data values in the table below to calculate the correlation between the variables x and y. Submit the link through Canvas to either a photo of your work on paper or a link to a google sheet. X 3 4 5 6 7 8 9 10 11 y 9.06 8.24 9.02 7.5 9.18 9.96 7.04 6.52 9 Give your answer to three decimal places.

Which value of r indicates a stronger correlation: r= 0.841 or r= - 0.949? Explain your reasoning. Choose the correct answer below. O A. r= 0.841 represents a stronger correlation because -0.949 > 0.841|. B. r= - 0.949 represents a stronger correlation because -0.949|> |0.841|. C. r= - 0.949 represents a stronger correlation because 0.841 > - 0.949. D. r= 0.841 represents a stronger correlation because 0.841 > - 0.949.

Suppose the correlation between height and weight for adults is +0.80. What proportion of the variability in weight can be explained by the relationship with height? A. 20% B. 36% C. 64% D. 80%

Assume the correlation coefficient between advertising dollars spent and sales is .78. How much of the variability in sales is explained by the relationship between sales and advertising dollars? a. 39.16% b. 60.84% c. 78% d. 22%