For the given data, you need to:(a) Display the data in a scatter plot, (b) Calculate the correlation coefficient $ r $, and (c) Make a conclusion about the type of correlation.### DataThe ages (in years) of 6 children and the number of words in their vocabulary:- **Age, $ x $:** 1, 2, 3, 4, 5, 6- **Vocabulary size, $ y $:** 400, 400, 1450, 1400, 1600, 2450### Questions(a) Choose the correct scatter plot:- **Option A:** Scatter plot incorrectly shows no trend.- **Option B:** Incorrect axes orientation.- **Option C:** Incorrect axes orientation.- **Option D:** Correct scatter plot, showing a positive trend between Age (x-axis) and Vocabulary (y-axis).(b) Calculate the correlation coefficient $ r $. - **Input Required:** Round to three decimal places as needed.(c) Determine the correlation type:- **A.** Strong positive linear correlation- **B.** No linear correlation- **C.** Strong negative linear correlation- **D.** Weak positive linear correlation- **E.** Weak negative linear correlationSelect the most appropriate answer based on the scatter plot.

Here, sample size = n = 6. x : Age, y : Vocabulary size.

For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x Vocabulary size, y 400 1 2 4 400 1450 1400 1600 2450 (a) Choose the correct scatter plot below. O A. OB. OC. OD. 2500 7- 2500- 2500- 2500 Vocabulary Age Age Age (b) The correlation coefficient r is (Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between age and vocabulary size? O A. Strong positive linear correlation O B. No linear correlation C. Strong negative linear correlation O D. Weak positive linear correlation O E. Weak negative linear correlation Vocabulary

For the following data (a) display the data in a scatter plot, (b) calculate the correlation coefficient r, and (c) make a conclusion about the type of correlation. The ages (in years) of 6 children and the number of words in their vocabulary Age, x Vocabulary size, y 400 1 2 4 400 1450 1400 1600 2450 (a) Choose the correct scatter plot below. O A. OB. OC. OD. 2500 7- 2500- 2500- 2500 Vocabulary Age Age Age (b) The correlation coefficient r is (Round to three decimal places as needed.) (c) Which of the following best describes the type of correlation that exists between age and vocabulary size? O A. Strong positive linear correlation O B. No linear correlation C. Strong negative linear correlation O D. Weak positive linear correlation O E. Weak negative linear correlation Vocabulary

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Part a though d please.

A: Approach to solving the question:The correlation coefficient shows the measure of the extent of the…

Q: Blood pressure measurements consist of two numbers, the systolic pressure and the diastolic…

A: The data is given by: Systolic (x) Diastolic(y) 134 63 115 83 113 77 123 77 119 69…

Q: Rick is a school principal, and he is trying to decide if there is a relationship between conduct…

A: We plot number of infractions on x-axis and number of student present in the school on the y-axis.

Q: O % Increase % Increase 4221 SL86 40-49.9 50-59.9 60-69.9 70-79.9 80-89.9 90-99.9 100-109.9…

A: The given data for the percentage increase is: For obtaining the appropriate frequency histogram,…

Q: The data below is the number of hours that people work per week at your job. Construct the…

Q: A grocery store manager did a study to look at the relationship between the amount of time (in…

A: Given information: The data is provided as: Time (X) Money (Y) 21 63 17 51 28 109 13 49…

Q: The heights (in inches) and weights (in lbs) of 10 American men are given below. Height Weight 72…

A: The given data is as follows. Height Weight 72 185 66 140 69 200 68 170 74 220 71…

Q: Which of the following situations should the correlation coefficient be calculated for? IV = race;…

A: The objective of this question is to identify which of the given situations are suitable for…

Q: The following data gives the number of hours 10 students spent studying and their corresponding…

A: Given,

Q: Is there a linear relationship between men's shoe size and how many ties they own? Draw a scatter…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Part a through c. Thank you!

A: Part (a): Calculate the Correlation Coefficient (r) Between Cost and MilesGiven data:| Cost | Miles…

Q: a) Are the data normal? Run Descriptive statistics in Excel and support your answer. b) Show the…

A: PopulationExpenditure291274352148613310902082191535031844713035242171851419815495219489103

Q: For the data below, draw a scatter plot on each graph provided. Then use your graphing calculator to…

A: Strength of relationship between variables using correlation: If the value of correlation is…

Q: None

A: a. The more useful the size the bubbles will be to help the audience understand the results: This…

Q: What is the best estimate of the correlation for the data displayed below? b)what is the form,…

A: The correlation coefficient will lie between 0.6 - 0.8

Q: My answer is incorrect.

Q: The heights and weights of a set of students were recorded on a scatter graph.

A: Given:

Q: For which of the following sets of data should a stacked bar chart be used? The average height of…

A: Recall the following. A stacked bar chart is a graph that is used to break down and compare parts of…

Q: Determine the correlation coefficient for the data shown in this table: x 1 8 8…

A: Given

Q: Identify the type of correlation in the following scatter plot.

A: Scatter plot is used to show the relationship between two continuous variable X and Y.

Q: Plot (A) Plot (B) Plot (C) [Choose ] r = 1.1 r = -0.85 r = 0.53 r = -0.38 r = 0.06 r = 0.97

Question

For the given data, you need to:

(a) Display the data in a scatter plot,
(b) Calculate the correlation coefficient $ r $, and
(c) Make a conclusion about the type of correlation.

### Data
The ages (in years) of 6 children and the number of words in their vocabulary:

- **Age, $ x $:** 1, 2, 3, 4, 5, 6
- **Vocabulary size, $ y $:** 400, 400, 1450, 1400, 1600, 2450

### Questions

(a) Choose the correct scatter plot:

- **Option A:** Scatter plot incorrectly shows no trend.
- **Option B:** Incorrect axes orientation.
- **Option C:** Incorrect axes orientation.
- **Option D:** Correct scatter plot, showing a positive trend between Age (x-axis) and Vocabulary (y-axis).

(b) Calculate the correlation coefficient $ r $.
- **Input Required:** Round to three decimal places as needed.

(c) Determine the correlation type:

- **A.** Strong positive linear correlation
- **B.** No linear correlation
- **C.** Strong negative linear correlation
- **D.** Weak positive linear correlation
- **E.** Weak negative linear correlation

Select the most appropriate answer based on the scatter plot.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Relations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

The correlation between midterm and final grades for 300 students is 0.620. If 5 points are added to each midterm grade, the new r will be: a. 0.124 b. 0.57 c. 0.62 d. 0.744
The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams, Hours spent studying 0.5 1 1.5 2 2.5 4 4.5 5 5.5 6 Midterm Grades 63 69 75 78 81 84 90 93 96 99 Draw a scatter plot of the given data. Select a location in the chart to plot a point. Points can be moved by dragging or using the arrow keys. Estimate the correlation in words: positive, neagative, no correlation Calculate the correlation coefficient, r. Round your answer to three decimal places. Hours unspervised 0 1 2 4 5 Overall Grades 100 92 88 84 72 Calculate the correlation coefficient, r. Round your answer to three decimal places. Determine whether the given correlation coefficient is staatically significant at the specified level of significance and sample size. r=0.452 ,a=0.005, n=28
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.
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
The data below are the ages and annual pharmacy b ills (in dollars) of 9 randomly selected employees. Calculate the linear correlation coefficient.Age, x: 30, 33, 37, 40, 43, 45, 49, 53, 57Pharmacy bill ($), y: 119, 123, 126, 134, 145, 148, 151, 153, 155A. 0.890B. 0.908C. 0.998D. 0.960
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.
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?
The following shows a linear correlation between weight and height. Image result for scatter plot scatter plot positive histogram negative O pie chart random frequency polygon biased