For the following scores,| X | Y ||----|----|| 7 | 6 || 9 | 6 || 6 | 3 || 12 | 5 || 9 | 6 || 5 | 4 |Using the Graphs tool below, sketch a scatter plot showing the six data points.**Scatter plot explanation:**The scatter plot displays points on a two-dimensional graph, representing the relationship between the X and Y values. - The X-axis ranges from 5 to 12.- The Y-axis ranges from 3 to 7.- Six points are plotted corresponding to the pairs of X and Y values given in the table.- The points are distributed such that some X values have the same Y values, resulting in overlapping on the Y-axis. Specifically, the points for (7, 6) and (9, 6) appear close together. The image contains a scatter plot and elements related to Pearson correlation analysis, intended for educational purposes.### Scatter Plot Description:- The graph has points scattered around a trend line. The line has a direction that shows it is sloping downwards to the left. - The x-axis is labeled as "X" with values ranging from 0 to 14.- The y-axis is labeled as "Y" with values ranging from 0 to 14.### Estimating Pearson Correlation:- The task is to estimate the value of the Pearson correlation by observing the scatter plot.- Options provided are: 1. The correlation is small but positive; around 0.8 to 1.0. 2. The correlation is small but positive; around 0.4 to 0.6. 3. The correlation is small but negative; around -0.4 to -0.7.### Table for Calculating Pearson Correlation:- There is a table with empty fields for calculations related to Pearson correlation: - ΣX² (Sum of X squared) - ΣY² (Sum of Y squared) - ΣXY (Sum of the product of X and Y) - SSₓ (Sum of squares of X) - SSᵧ (Sum of squares of Y) - SP (Sum of products)### Compute the Pearson Correlation:- There is a blank space to compute and write down the Pearson correlation value.This educational resource helps students learn how to visually estimate and calculate Pearson correlation from given data.

Given X 7 9 6 12 9 5 Y 6 6 3 5 6 4

2 4 8 10 12 14 The scatter plot shows points widely scattered around a line sloping down to the left v Just looking at the scatter plot, estimate the value of the Pearson correlation. The correlation is small but positive; around 0.8 to 1.0. O The correlation is small but positive; around 0.4 to 0.6. The correlation is small but negative; around -0.4 to -0.7. Complete the following table. ΣΧ2 ΣΥ2 ΣΧΥ SSx SSy SP Compute the Pearson correlation. Pearson correlation =

2 4 8 10 12 14 The scatter plot shows points widely scattered around a line sloping down to the left v Just looking at the scatter plot, estimate the value of the Pearson correlation. The correlation is small but positive; around 0.8 to 1.0. O The correlation is small but positive; around 0.4 to 0.6. The correlation is small but negative; around -0.4 to -0.7. Complete the following table. ΣΧ2 ΣΥ2 ΣΧΥ SSx SSy SP Compute the Pearson correlation. Pearson correlation =

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: The director of an alumni association wants to determine whether there is any type of relationship…

Q: Please round all answers to 2 decimal places. Given the table below, use your calculator to find…

A: The total number of pairs of observations is n = 6.

Q: O a.r = -0.2548 O b.r = -0.9382 O c.r= 0.9963 O d.r= 0.0767

A: We have given that, Which of the following linear correlation Coefficients suggests a weak negative…

Q: Which of the following correlation coefficients (r) shows the strongest relationship? o 0.10 o…

A: Higher the magnitude (ignoring the sign) of correlation coefficient, stronger the relationship.

Q: Compute the correlation coefficient. x 5 4 2 6 3 y 4 5 1 3…

A: The correlation coefficient can be obtained by excel function as follow: Enter the data into excel…

Q: Given the table below, use your calculator to find the Correlation Coefficient x 8.7 9.5 3.6 3.9…

A: From the given information, Thus, correlation coefficient can be computed as:

Q: (Round to two decimal places) d. e. Interpret r: O There is a 67% chance that the regression line…

A: We have used the excel data analysis tool to run the regression analysis.

Q: The data below is 8 observations of hog heart girth (in) (x) and hog weight (lb) (y). Calculate the…

A: Correlation: A statistical method that is applied between the pairs of variables to check how the…

Q: Please round all answers to 2 decimal places. Given the table below, use your calculator to find the…

A: Given data, X Y X*Y X*X Y*Y 2.9 13.3 38.57 8.41 176.89 5.3 16.6 87.98 28.09 275.56 1.3…

Q: A veterinarian collects data about puppies in her practice. She makes a scatterplot with their age…

Q: Draw the scatterplot of the data. Showing all work calculate r. Showing all work determine whether…

Q: Is a correlation of 0.05 statistically significant?

A: No, the correlation is insignificant , it is very near to zero which suggest no correlation

Q: Solve the following: 1. Determine if there is correlation between the daily allowances of students…

Q: Calculate Pearson's correlation coefficient r. Then explain the direction and strength of the…

A: Obtain the value of the correlation. The value of the correlation is obtained below as follows:

Q: The values in X below are hours spent studying, and the values in Y are grades on a test. INTERPRET…

A: Use EXCEL to obtain the value correlation coefficient r: EXCEL procedure: Go to EXCEL Go to…

Q: 40 randomly selected men were chosen to analyze the relationship between the weight of a man and his…

Q: Which of the following correlation coefficients indicate the strongest linear relationship between…

A: Option (c) rxy=-0.6, is the correlation coefficient that indicates the strongest linear relationship…

Q: Crickets chirp faster when it gets warmer. The number of chirps per minute by crickets (x) is given…

Q: 2. Determine if there is relationship between the age of person in years and their weight in kg…

Q: Find the value of the linear correlation coefficient r. 19.3 23.4 10.3 17.7 23.2 3 3 0.056 -0.236…

A: Given that X Y X \cdot YX⋅Y X^2X2 Y^2Y2 19.3 3 57.9 372.49 9 23.4 3 70.2 547.56 9…

Q: The data below is 8 observations of Math SAT scores (x) and scores on Math placement test (y).…

Q: a. -0.85 b. 0.36 c. 0.92 d. -0.33 a v >

Q: please highlight the correct answer

Q: Obtain the linear correlation coefficient for the data. Round your answer to three decimal places.…

A: The value for x and y are given.

Q: Use the linear correlation coefficient given to determine the coefficient of determination, R²,…

A: Correlation coefficient(R)=0.89

Q: Imagine that someone in campus life wants to convert the “Studying” scale so it’s expressed as the…

A: The data table given is:

Q: Please round all answers to 2 decimal places. Given the table below, use your calculator to find the…

A: We have given that, The set are, X:- 3.9, 10, 9.9, 7.1, 3.6, 4.6 Y:- 17.8, 20.4, 29.7, 21.9, 13.6,…

Q: 3. Sports officer collected some information about the Body Mass Index (BMI) and the finishing…

A: Given:- In part 3 BMI and position in marathon is given. first we find the rank of BMI then find the…

Q: Write the equation of the line for predicting Sales (Y) using the amount of Advertising (X) as the…

A: The given data is, Advertising(X) Sales(Y) 5.5 100 5.8 110 6 112 5.9 115 6.2 117 6.3…

Q: X Y 1 7. 4 1 1 6. 0. 6. A. Sketch a scatter plot and estimate the Pearson correlation B. Compute the…

A: Given, The data set which contains 8 observation, having 2 columns x and y. Sr no x y x2 y2 xy…

Q: The data below is 12 observations of Fall semester student credit hours (x) and Spring semester…

A: We have given that, X :- 6, 11, 16, 12, 7, 10, 8, 15, 13, 9, 5, 14 Y:- 3, 15, 13, 16, 9, 7, 4, 18,…

Q: What is Σ(는) () standardized value of x, standardized value of -1 -1

A: It is given that: w can be calculated as: w=4-42 =0

Q: A veterinarian collects data about puppies in her practice. She makes a scatterplot with their age…

A: x = age in days Mean 42 Standard Deviation 7 y = Weight in ounces Mean 25 Standard…

Q: Give the best description of the correlation between V and I, assuming that a random voltage (V)…

A: Introduction: Denote the random voltage as V, the random current as I, and the constant resistive…

Q: With a small sample, a single point can have a large effect on the magnitude of the correlation. The…

Q: Match each scatterplot shown below with one of the four specified correlations. of 8. 0.00 80 Bror…

A: Correlation coefficient measure the degree of linear relationship between two variables.

Q: Listed below are the brain volumes (in cm°) of twins and the corresponding lIQ score. Construct a…

A: Hey, since there are multiple subparts posted, we will answer first three question. If you want any…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

For the following scores,

| X | Y |
|----|----|
| 7 | 6 |
| 9 | 6 |
| 6 | 3 |
| 12 | 5 |
| 9 | 6 |
| 5 | 4 |

Using the Graphs tool below, sketch a scatter plot showing the six data points.

**Scatter plot explanation:**

The scatter plot displays points on a two-dimensional graph, representing the relationship between the X and Y values.

- The X-axis ranges from 5 to 12.
- The Y-axis ranges from 3 to 7.
- Six points are plotted corresponding to the pairs of X and Y values given in the table.
- The points are distributed such that some X values have the same Y values, resulting in overlapping on the Y-axis. Specifically, the points for (7, 6) and (9, 6) appear close together.

The image contains a scatter plot and elements related to Pearson correlation analysis, intended for educational purposes.

### Scatter Plot Description:
- The graph has points scattered around a trend line. The line has a direction that shows it is sloping downwards to the left.
- The x-axis is labeled as "X" with values ranging from 0 to 14.
- The y-axis is labeled as "Y" with values ranging from 0 to 14.

### Estimating Pearson Correlation:
- The task is to estimate the value of the Pearson correlation by observing the scatter plot.
- Options provided are:
1. The correlation is small but positive; around 0.8 to 1.0.
2. The correlation is small but positive; around 0.4 to 0.6.
3. The correlation is small but negative; around -0.4 to -0.7.

### Table for Calculating Pearson Correlation:
- There is a table with empty fields for calculations related to Pearson correlation:
- ΣX² (Sum of X squared)
- ΣY² (Sum of Y squared)
- ΣXY (Sum of the product of X and Y)
- SSₓ (Sum of squares of X)
- SSᵧ (Sum of squares of Y)
- SP (Sum of products)

### Compute the Pearson Correlation:
- There is a blank space to compute and write down the Pearson correlation value.

This educational resource helps students learn how to visually estimate and calculate Pearson correlation from given data.

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 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

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

Match the correlation coefficients with their scatterplots. Select the letter of the scatterplot below which corre- sponds to the correlation coefficient. (Click on image for a larger view.) ? 1. r= 0.76 ? 2. r=-0.74 ? 3. r= 0.22 ? 4. r= -0.97 A B C D
A veterinarian collects data about puppies in her practice. She makes a scatterplot with their age in days on the horizontal axis and weight in ounces (oz) on the vertical axis and sees that the scatterplot is football shaped. The average age of the puppies is 42 day, with an SD of 7 days. The average weight is 25 oz, with an SD of 5 oz. The correlation is moderately strong, with r = 0.7. 4. (a) The age of two puppies differ by 20 days. The difference in their weight is predicted to be oz. (b) The baseline prediction for the weight of puppies ignores their age and just uses the information from all puppies. The baseline predicted weight is oz and the RMS error for this prediction is o. (c) Suppose we converted the units of age from days to weeks. The average age is now weeks, with an SD of weeks. The correlation between age in weeks and weight in oz is now r =
How does multiplying each score by a (positive) constant affect the value of the correlation? The correlation changes sign. The correlation does not change. The correlation decreases. The correlation increases.
Please round all answers to 2 decimal places.Given the table below, use your calculator to find the Correlation Coefficient xx 2.6 9.1 8.3 7.9 2.9 4.9 yy 6.2 22.9 24.2 20.1 6.1 15.8 Put your answer here:
1945 is paired with cancer rates for 1975. The cigarette consumption data is from 1945 to 1975 in 5-year increments. There is a strong positive linear association between annual cigarette consumption and lung cancer rates. The correlation is 0.81. If we use the line to make predictions of the number of lung cancer deaths per 100,000 people, which of the following is an example of extrapolation? a. Predict Y when cigarette consumption is 3,500 cigarettes per person. b. Predict Y when cigarette consumption is 3,800 cigarettes per person. c. Predict Y when cigarette consumption is 4,600 cigarettes per person.
Q9
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 < 1. r = -0.49 A 2. r = 0.97 D ✓ 3. r = 0.22 4. r = -0.74 A B D
Which of the following correlation (r) show a negative association between 2 variables? 0.2 -1.4 0.4 -0.8
The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? Selling Price (x) List Price (y) H₁: p#0 400 412 Construct a scatterplot. Choose the correct graph below. 301 315 376 387 434 440 459 488 H₁ p > 0 477 480 319 324 352 368 417 434 330 341
PLEASE DONT USE EXCEL
Which number below is representative of the largest correlation? r = -0.75 r = .05 r = -0.45 r = 0.65
find t reject or fail to reject