Given values of x and y, the correlation has a. very strong relationship. b. very strong negative relationship c. slight relationship
Q: Determine if the correlation between the two given variables is likely to be positive or negative,…
A: Determine if the correlation between the two given variables is likely to be positive or negative,…
Q: Explain in detail what is meant by correlation. a. Give three examples of a positive correlation…
A: Note Part b and c is answered along with a Correlation is a measure of linear association between…
Q: Calculate the correlation coefficient r. Make a conclusion about the type of correlation.
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A: A significant correlation always indicate a meaningful relationship.
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A: Given Correlation r=0.535
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A: Part a: At r = 0 , there exist no linear correlation if r ≤ ±0.5, it shows a rather weak…
Q: Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40…
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A: Correlation describes only the linear relationship between the two variables, does not imply any…
Q: 1a. Two variables have a positive linear correlation. Does the dependent variable increase or…
A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…
Q: Assume that you have paired values consisting of heights (in inches) and weights (in Ib) from 40…
A: The value of r is 0.563.
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A: Here Given linear correlation coefficient =r =0.867
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Q: Which value of r indicates a stronger correlation: r= 0.841 orr= - 0.949? Explain your reasoning.…
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- The following statement contains an error. Choose the statement that best explains the error. "The correlation between shoe size and height is 0.87 inches" A. Correlation requires that both of the variables be categorical B. When stating the correlation coefficient, one must state whether it is a positive or negative relationship C. This statement does not tell us whether or not shoe size is correlated with height D. When reporting correlation, one does not report units because correlation has no units E. There is no error in this statementWhich of the following correlation coefficients indicate the strongest relationship between two variables? A .20 B .87 C .80 D -.95Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.594. 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 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.
- A manager wishes to determine the relationship between the number of years the manager's sales representatives have been with the company and their average monthly sales (in thousands of dollars). Calculate the linear correlation coefficient.Years with company, x: 6,7,14,11,12,19,7,5,15Sales, y: 21,23,68,52,55,51,38,45,110Consider the bivariate data set with n = 7 observations X -4 1 -6 9. -8 -4 -4 Y 20 60 -10 99 -3 16 18 where a linear relationship between X and Y is investigated. The equation relating Y to X is formulated by Y = Bo + B1X + e and is called the simple linear regression equation. Use your calculator to answer the following questions. Give the values of the least squares estimates Bo Round your answer to the nearest integer. Round your answer to 3 decimal places.The figure below shows the relationship between tree height and tree age for a given tree species. What is the approximate correlation between the two variables; 0.99, 0, -0.98, or 1?
- Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. A person's age and the clarity of their vision (positive, negative, or no correlation)A negative correlation means that decreases in the X variable tend to be accompanied by decreases in the Y variable. T or FA graduate teaching assistant for an Introduction to Statistics course collected data from one of her classes to investigate the relationship between using the explanatory variable x=study time per week (average number of hours) to predict the response variable y=college GPA. For the 21 females in her class, the correlation was 0.42. For the eight males in her class, the data were as shown in the following table. Complete parts a through c below. Student 1 2 3 4 5 6 7 8 Study Time 15 6 22 13 24 4 10 15 GPA 3.4 2.8 3.9 3.2 3.7 2.7 3.2 2.7 a. Construct a scatterplot. Interpret. Which scatterplot below correctly shows the data? A. 04004xy A scatterplot has a horizontal x-axis labeled from 0 to 40 in increments of 10 and a vertical y-axis labeled from 0 to 4 in increments of 1. A cluster of plotted points that form a line that rises from left to right lie between…
- 4. Put the r-values in order from the weakest to strongest correlation. r = -0.90 r = 0.050 r = 0.80 r = -0.72 r= 0.45 r= -0.88 r = 0.97Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.506. 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 0.256. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O B. The coefficient of determination is 0.744. 25.6% of the variation is explained by the linear correlation, and 74.4% is explained by other factors. O C. The coefficient of determination is 0.744. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors. O D. The coefficient of determination is 0.256. 74.4% of the variation is explained by the linear correlation, and 25.6% is explained by other factors.