Altitude, x    Speed of sound, y 0                       1117.9 5                        1096.9 10                        1077.1 15                           1057.4 20                         1036.8 25                           1015.1 30                             995.6 35                             968.3 40                              966.7 45                               966.7 50                                966.7 ​(a) Display the data in a scatter plot. Choose the correct graph below. ​(b) Calculate the sample correlation coefficient r. (c) Interpret the correlation. Choose the correct answer below. ​(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.

Given the scatter plot shown, determine if the correlation is positive, negative, or if there is no relative correlation. Correlation for this scatter plot: Select an answer

Which scatter plot shown has the strongest negative correlation?

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 0.567. Find the value of the coefficient of determination. What practical information does the coefficient of determination​ provide?       Question content area bottom Part 1 Choose the correct answer below.     A. The coefficient of determination is 0.321. 32.1​% of the variation is explained by the linear​ correlation, and 67.9​% is explained by other factors.   B. The coefficient of determination is 0.679. 67.9​% of the variation is explained by the linear​ correlation, and 32.1​% is explained by other factors.   C. The coefficient of determination is 0.321. 67.9​% of the variation is explained by the linear​ correlation, and 32.1​% is explained by other factors.   D. The coefficient of determination is 0.679. 32.1​% of the variation is explained by the linear​ correlation, and 67.9​% is…

Use a graphing calculator to create a scatter plot and find the line of best fit and the correlation coefficient for the following data. Round to the nearest hundredth. X 2 4 6 8124 10 Part: 0/2 y 2 3 6 7 10 15 19

Find the mean for the set of grouped data. The mean is (Round to two decimal places if needed.) Interval 0.5-2.5 2.5-4.5 4.5-6.5 6.5-8.5 Frequency 1 8 5 1

x 39 49 57 71 81 86 y 3 6 12 22 28 41 Determine the Correlation Coefficient (r) for the above ordered paired data set.   Group of answer choices 1.0156 0.5757 0.7898 0.9696

The accompanying table shows the ages​ (in years) of 11 children and the numbers of words in their vocabulary. Complete parts​ (a) through​ (d) below. ​ Age, x Vocabulary size, y 1                   5 2                  240 3                  560 4                  1200 5                 1900 6                    2600 3                   540 5                   2200 2                   280 4                  1300 6                  2300   (a) Display the data in a scatter plot. ​(b) Calculate the sample correlation coefficient r. (c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.

Sample grade point averages for ten male students and ten female students are listed. Find the coefficient of variation for each of the two data sets. Then compare the results. Males 2.3 3.8 3.9 3.7 2.6 2.4 3.6 3.2 3.9 1.8 Females 2.7 3.6 2.2 3.9 3.7 4.2 1.9 3.9 3.6 2.1 ... The coefficient of variation for males is %. (Round to one decimal place as needed.) The coefficient of variation for females is %. (Round to one decimal place as needed.) Compare the variability of grade point averages of males and females. Choose the correct answer below. O A. The grade point averages of females and males have the same variation. O B. The grade point averages of males are more variable than females. O C. The grade point averages of females and males do not vary. O D. The grade point averages of females are more variable than males.

Stan measured the circumference of his classmates' heads and compared it with their current grade in Math. The results are in the given table. Head (cm) Grade 55 23 53 92 57 84 56 88 55 97 53 87 54 72 57 64 57 91 Is there a strong correlation in this data set? How do you know? Yes, there is a strong correlation because the slope is 126.5. No, there is NOT a strong correlation because the correlation coefficient is -0.89, which is close to -1.