... .. Identify the correlation coefficient. 2. Which correlation coefficient best describes the relation depicted in the scatter-plot? a) -0.7 b) -0.1 c) 0 d) 0.1 e) 0.7 Select the most appropriate response.
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- 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 DWhich 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.Which of the R values below is consistent with a "perfect" correlation? a. 0.0 b. 0.5 c. -1.0 d. 0.95
- a. Calculate the sample covariance.X Y-3 -913 95 12b. Calculate the sample correlation.c. Describe in words the information given to us by the sample covariance and by the sample correlation.Explain how the correlation gives us more precise information.d. Explain why the covariance is not a good measure of the strength of the linear relationship between the twovariables.e. Sketch a scatterplot of a bivariate dataset with a correlation of 0.9f. Sketch a scatterplot of a bivariate dataset with a correlation of -0.3.Match the linear correlation coefficient to the scatter diagram. r-0.764 Choose the correct graph below. OA. O B. c. OD. Explanatory Explanatory Explanatory Explanatory Response Response esponse ResponseA pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. The pediatrician wants to use height to predict head circumference. Compute the linear correlation coefficient between the height and head circumference of a child. Height Head Circumference (inches) (inches) 27.5 25 (Round to three decimal places as needed.) 17.3 17.1 26 25.25 27.25 26.75 25.75 27 25 17.2 17 17.6 17.4 17.2 17.3 Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Type here to search TOUG Panasonic CF-54 CDSS-4852 TERMO TOGA O O O O D () Scre Loc PrtSc Num Lock F10 F11 F12 F7 F8 F9 SysRq F5 F6 F3 F4 A 8 F1 F2 Esc & 7 0 8 B 90 5 A2 24 近 %#3
- Assume 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.Many people believe that crime rate declines with age. a) Use the data below to verify whether this is true using a scatterplot. b) Is the relationship between crime rate and age strong, medium, or weak? c) Can the correlation coefficient be used to measure the extent to which crime rate is related to age? E Click the icon to view the data. a) Choose the correct scatterplot below. O A. O B. OC. OD. 20,000- 20,000- 20,000- 20,000- 0- Age Age Age Age Does it appear that the crime rate declines with age? O A. The crime rate tends to gradually increase with age. B. The crime rate tends to increase until adulthood, after which it gradually declines. OC. The crime rate tends to increase until middle age, after which it gradually declines. O D. The crime rate tends to gradually decrease with age. b) Is the relationship between crime rate and age strong, medium, or weak? O A. The scatterplot appears to show a medium relationship. B. The scatterplot appears to show a weak relationship. O C. The…Consider 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.
- Suppose we measure the heights (in inches) and weights (in pounds) of 100 randomly chosen college students. Furthermore suppose we calculate the correlation to be 0.6. If we change the measurements to centimeters and kilograms, what happens to the value of the correlation? Note: There are 2.54 centimeters in an inch, and there are 2.2 pounds in a kilogram. Group of answer choices: A. The correlation increases by a factor of 2.54/2.2 B. The correlation is still 0.6. C. The correlation decreases by a factor of 2.2. D. The correlation increases by a factor of 2.54.A 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…Assume 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.