The following sample of observations was randomly selected. x 5 3 6 3 4 4 6 8 y 13 15 7 12 13 11 9 5 Determine the correlation coefficient and interpret the relationship between x and y.
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The following sample of observations was randomly selected.
x | 5 | 3 | 6 | 3 | 4 | 4 | 6 | 8 |
y | 13 | 15 | 7 | 12 | 13 | 11 | 9 | 5 |
Determine the
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- Q-1. You are given the following data for variables x and y: X Y 3.0 1.5 2.0 0.5 2.5 1.0 3.0 1.8 2.5 1.2 4.0 2.2 1.5 0.4 1.0 0.3 2.0 1.3 2.5 1.0 b. Compute the correlation coefficient for these sample data. Indicate what the correlation coefficient measures.Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.05. Internet Users 80.6 78.2 57.3 67.0 77.6 39.1 Award Winners 5.5 8.6 3.4 1.7 11.1 0.1 Question content area bottom Part 1 Construct a scatterplot. Choose the correct graph below. A. 3090012Internet UsersAward Winners A scatterplot has a horizontal axis labeled Internet Users from 30 to 90 in increments of 5 and a vertical axis labeled Award Winners from 0 to 12 in increments of 1. Six plotted points loosely follow the pattern of a cuve that falls from left to right passing through the points…A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies Books 1 4 3 12 2 9 0 13 3 7 4 8 0 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: ? = 0 H₁: ? 0 The p-value is: d. 72 = e. 4 2 4 0 1 c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. Round to 2 decimal places. O There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies. Round to 4 decimal places. O There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. There is statistically significant…
- Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 77.9 79.7 56.2 66.2 78.8 37.6 Award Winners 5.5 8.7 3.3 1.7 10.6 0.1 ..... Construct a scatterplot. Choose the correct graph below. OA. OB. OC. OD. 121 12- 12 12- 30 90 30 Internet Users 30 90 30 90 90 Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners Award Winners Award WinnersListed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a =0.05. Internet Users 79.9 79.4 55.8 67.9 77.3 39.0 Award Winners 5.4 9.1 3.4 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. O A. В. C. D. 12- 12- 12- 12- 0+ 30 0+ 30 0- 30 90 90 30 90 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.)Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Internet Users 80.1 78.1 57.2 66.4 76.9 38.6 O Award Winners 5.3 9.4 3.3 1.8 10.7 0.1
- Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (2,9) and find the correlation coefficient r and determine whether there is a linear correlation. 10- d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. AY Table of critical values 10 a. Do the data points appear to have a strong linear correlation? a = 05 a = 01 No 4. .950 990 878 959 V Yes 811 .917 7. .754 875 b. What is the value of the correlation coefficient for all 10 data points? 707 834 .666 .798 T=-0.906 (Simplify your answer. Round to three decimal places as needed.) 10 .632 765 11 .602 735 12 576 708 13 553 .684 532 .661 14 514 .641 15 Print Done Check answer…Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01. Internet Users 78.1 80.6 56.3 66.2 77.1 38.5 Award Winners 5.7 8.9 3.4 1.7 10.6 0.1Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01. Internet Users 80.4 79.0 57.9 66.3 76.4 39.0 Award Winners 5.7 9.2 3.2 1.8 10.9 0.1
- Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r= 1 2. r = -1 3. r=-.15 4. r = .1 A. a weak positive relationship between x and y B. a weak negative relationship between x and y C. a perfect negative relationship between x and y D. a perfect positive relationship between x and ychoose the correct answer Given the following X and Y variables. Determine the Pearson-r correlation value. (photo) a. 0.412 b. - 0.785 c. 0.248 d. - 0.293 What is the range of the given data set: 25, 19, 30, 12, 45, 11, 32, 49, 23, 36, 34 ? a. 49 b. 26 c. 38 d. 44 Thank you!!!A study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 4 6 GPA 0 2.9 2.9 3.5 3 0 3.4 3.3 140 8 1.7 2 3.3 a. Find the correlation coefficient: r = b. The null and alternative hypotheses for correlation are: Ho: H₁: The p-value is: 6 6 2.4 1.9 Round to 2 decimal places. (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that there is a correlation between the number of lovers students have had in their lifetimes and their GPA. Thus, the use of the regression line is not appropriate. O There is statistically insignificant evidence to conclude that a student who has had more lovers will have a lower GPA than a student who has had fewer lovers. O There is statistically significant evidence to conclude that…