**Correlation and Critical Values Exploration**Refer to the accompanying scatterplot. **Tasks:**1. **Examine the data and determine correlation:** - Subjectively determine whether the pattern of all 10 points suggests a strong correlation between x and y.2. **Calculate correlation coefficient r:** - Determine the correlation coefficient for all 10 data points and decide if a linear correlation exists.3. **Effect of removing a point:** - Remove the point with coordinates (9,10) and find the new correlation coefficient r. Discuss the potential impact of a single pair of values on correlation.**Scatterplot Analysis:**- **a. Do the data points appear to have a strong linear correlation?** - Yes (indicated by a checkmark).- **b. Calculate the correlation coefficient (r):** - Enter your answer in the provided box. Make sure to simplify and round your answer to three decimal places.**Table of Critical Values for the Correlation Coefficient:**- **Explanation of Table:** - The table provides critical values for different sample sizes (n) at significance levels ($\alpha$) of 0.05 and 0.01. - For example: - For $ n = 4 $, the critical value at $ \alpha = 0.05 $ is 0.950, and at $ \alpha = 0.01 $ is 0.990. - For larger sample sizes, such as $ n = 10 $, the critical values are 0.632 (at $ \alpha = 0.05 $) and 0.765 (at $ \alpha = 0.01 $). - This table helps determine the strength of the correlation by comparing the calculated r to these critical values.Use this guide to understand how correlation is assessed and the influence of critical values in determining statistical significance.

We can create the data table for the given scatter plot and calculate correlation coefficient. X Y 1 1 1 2 1 3 2 1 2 2 2 3 3 1 3 2 3 3 9 10 The correlation coefficient for all 10 data points is 0.893.

Answered: 10- Refer to the accompanying…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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…
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. (This is for my practice exam qustions, none of it is graded)
B). Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. C) Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. A. The scatterplot reveals a distinct pattern that is a straight-line pattern with positive slope. B. The scatterplot does not reveal a distinct pattern. C. The scatterplot reveals a distinct pattern that is a straight-line pattern with negative slope. D. The scatterplot reveals a distinct pattern that is not a straight-line pattern. Clear
The table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? 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. Does it appear that riders base their tips on the time of the ride? Click here for information on the taxi rides. Construct a scatterplot. Choose the correct graph below. O A. Tip Amount ($) 25- Q 0 35 G Ride time (minutes) Determine the linear correlation coefficient. The linear correlation coefficient is r= (Round to three decimal places as needed.) Tip Amount ($) B. 25- 0- 0 35 G Ride time (minutes) Taxi data ip Amount (S C. 25- 0- 35 Ride time…
Bt.20.
Refer to the accompanying scatterplot. The four points in the lower left corner are measurements from women, and the four points in the upper right corner are from men. Complete parts (a) through (e) below. 12- 3- :: 3 6 12 b. Examine the pattern of the four points in the upper right corner (from men) only, and subjectively determine whether there appears to be a correlation between x and y for men. Choose the correct answer below. O A. There appears to be a linear correlation because the points form an obvious pattern. B. There does not appear to be a linear correlation because the points do not form a line. O C. There does not appear to be a linear correlation because the points form an obvious pattern. O D. There appears to be a linear correlation because the points form a line. c. Find the linear correlation coefficient using only the four points in the lower left corner (for women). Will the four points in the upper right corner (for men) have the same linear correlation…
Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Test A (x) 43 65 73 34 99 78 65 Test B (y) 39 60 62 20 85 70 54 1. Calculate r, the linear correlation coefficient. Identify the values for each part below. Part a. The value of n Part b. The sum of the x-values Part c. The sum of the y-values Part d. The sum of the x-squared values Part e. The sum of the y-squared values Part f. The sum of the (xy) values Part g. The final value of r rounded top three decimal places
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OA. Tip Amount ($) Construct a scatterplot. Choose the correct graph below. 25- The table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a 0.01. Does it appear that riders base their tips on the time of the ride? Click here for information on the taxi rides. 0 35 Ride time (minutes) Determine the linear correlation coefficient. The linear correlation coefficient is r= (Round to three decimal places as needed.) Tip Amount ($) B. Q 25- Q 0- 0 35 Ride time (minutes) Tip Amount ($) C. 25- Q 0 35 G Ride time (minutes) O D.…
2. A study was conducted to determine the relationship between a person’s monthly income in Omani Rials and the number of meals that person eats away from home per month. The data are shown below.
If we find that there is a linear correlation between the concentration of carbon dioxide in our atmosphere and the global temperature, does that indicate that changes in the concentration of carbon dioxide cause changes in the global temperature? Choose the correct answer below. A. No. The presence of a linear correlation between two variables does not imply that one of the variables is the cause of the other variable. B. Yes. The presence of a linear correlation between two variables implies that one of the variables is the cause of the other variable.
After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlation

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