View table of critical values for the correlation coefficient. Use the given data set to complete parts (a) through (c) below. (Use a= 0.05.)108.13148.1111y9.148.158.734.128.779.266.133.099.147.264.74Click here to view a table of critical values for the correlation coefficient.a. Construct a scatterplot. Choose the correct graph below.O A.OB.Oc.OD.Ay10-Ay10-10-10-8-8-8-8-6-6-6-6-4-4-4-4-2-2-2-...........2-0+40-0-0-12 164.12164.121612 16 Use the given data set to complete parts (a) through (c) below. (Use a= 0.05.)88.151013911144127y9.148.738.779.268.116.133.099.147.264.74Click here to view a table of critical values for the correlation coefficient.The linear correlation coefficient is r=(Round to three decimal places as needed.)Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation betweenthe two variables. Choose the correct answer below.O A. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables,O B. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.O C. There is insufficient evidence to support the claim of a linear correlation between the two variables.OD. There is sufficient evidence to support the claim of a linear correlation between the two variables.

The data is given by: x y 10 9.14 8 8.15 13 8.73 9 8.77 11 9.26 14 8.11 6 6.13…

Answered: View table of critical values for the…

Math

Statistics

View table of critical values for the correlation coefficient.

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: Is there a relationship between (X) rate of poverty (measured as a percent of population below…

A: The objective of this question is to determine whether the correlation between the rate of poverty…

Q: What are the possible values of the linear correlation coefficient?

A: The correlation coefficient measures the linear relationship between two quantitative variables.

Q: Consider the following scatterplot: < 318

A: From the given scatter plot, the pair of values of (x, y) are distributed from left top to right…

Q: What correlation coefficient is representative of a "good" best-fit line? What shape of the residual…

A: If x and y are non correlated some of the products will be positive and some of the products will be…

Q: What is the difference between correlation coefficient and coefficient of determination? How to…

A: Solution-: What is the difference between correlation coefficient and coefficient of determination?…

Q: A fairly high correlation should exist between the two variables?

A: Consider that X and Y are two random variables. While Corr (x, y) is defined as the correlation…

Q: What are the key properties of correlation coefficient?

A: Correlation is measure of linear association between two quantitative variables. The variables are…

Q: Describe about the Homoscedasticity as correlation coefficient assumption.

A: Solution: A correlation coefficient is a statistical measure of the degree to which changes to the…

Q: The P-value is (Round to three decimal places as needed.) Because the P-value is v than the…

A: We want to test there is linear correlation between lemon import and crush fatality rates for…

Q: What is the coefficient of determination and why would you wa

A: The coefficient of determination is the measurement of the goodness of fit i.e. the percentage of…

Q: What is the best estimate for the linear correlation coefficient and what is the value of r ?…

A: Best estimate is decided by looking at scattered plot Here best estimate is r=-1

Q: What does it mean to say that the linear correlation coefficient between two variables equal 1?…

A: What does it mean to say that the linear correlation coefficient between two variables equal 1? It…

Q: What is the coefficient of determination and how is it interpreted in correlation and regression…

A: The coefficient of determination, often denoted as R2, is a statistical measure used in correlation…

Q: x = number of traffic tickets y = Cost of auto insurance 0.05 level of significanc the correlation…

A: We have to find correctness of statement.

Q: What value does the Correlation Coefficient provide for data analysis, and, can we assu

A: Correlation Coefficient: The correlation coefficient is used for measuring the strength of the…

Q: True or False: In a linear correlation testing, any positive value for the linear correlation…

A: It is an important part of statistics. It is widely used.

Q: What is the Numerical Value of correlation coefficient?

Q: What is formula for t RATIO FOR A SINGLE POPULATION CORRELATION COEFFICIENT?

Q: Is it possible to use STATcrunch to find the linear correlation coefficient instead of the formula?

A: Is it possible to use STATcrunch to find the linear correlation coefficient instead of the formula?…

Q: The Pearson's correlation coefficient between two variables, age and health, based on 16…

A: Given: sample size n=16, correlation coefficient=-0.48 based on variables age and health.…

Q: Suppose the scatter diagram of a random sample of data pairs (?, ?) shows no linear relationship…

A: The coordinates (?, ?) be (x, y)

Q: An electronics retailer would like to investigate the relationship between the selling price of a…

A: Given that, An electronic retailer would like to investigate the relationship between the selling…

Q: For a data set of chest sizes (distance around chest in inches) and weights (pounds) of six…

A: The question is about testing of population correlation.Given :No. of anesthetized bears ( n ) =…

Q: Why might we calculate the correlation coefficient for x and y values in a scatterplot?

A: Scatter plot is use to draw a relationship between two variables.

Q: Define “correlation coefficient”

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: If two distinct values of the variate are given when is the covariance or coefficient of correlation…

Q: I need help on how to find and work with the Linear Correlation Coefficient (r)

A: Correlation coefficient gives us an idea about the linearship between the two variables. The formula…

Q: What is the effect of outliers on the value of correlation?

A: An outlier is a score that falls beyond the limits of the scores remaining on the scatter map. For…

Q: What is the example of Pearson correlation coefficient and what is the functions?

A: Correlation between sets of data is a measure of how well they are related. The most common measure…

Q: How does the squared curvilinear correlation calculated?

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

100%

View table of critical values for the correlation coefficient.

Use the given data set to complete parts (a) through (c) below. (Use a= 0.05.)
10
8.
13
14
8.11
11
y
9.14
8.15
8.73
4.
12
8.77
9.26
6.13
3.09
9.14
7.26
4.74
Click here to view a table of critical values for the correlation coefficient.
a. Construct a scatterplot. Choose the correct graph below.
O A.
OB.
Oc.
OD.
Ay
10-
Ay
10-
10-
10-
8-
8-
8-
8-
6-
6-
6-
6-
4-
4-
4-
4-
2-
2-
2-
...........
2-
0+
4
0-
0-
0-
12 16
4.
12
16
4.
12
16
12 16

Use the given data set to complete parts (a) through (c) below. (Use a= 0.05.)
8
8.15
10
13
9
11
14
4
12
7
y
9.14
8.73
8.77
9.26
8.11
6.13
3.09
9.14
7.26
4.74
Click here to view a table of critical values for the correlation coefficient.
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
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.
O A. There is sufficient evidence to support the claim of a nonlinear correlation between the two variables,
O B. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables.
O C. There is insufficient evidence to support the claim of a linear correlation between the two variables.
OD. There is sufficient evidence to support the claim of a linear correlation between the two variables.

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Given

Part a

Part b

Part c

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

What is the Small Values of Squared Correlation Coefficient?
Identify the linear correlation coefficient r , test statistics and pvalue. thank you
Could I get some help with this question please:)
What is the interpretation of correlation coefficient?
Please give an example of an IMPOSSIBLE correlation coefficient.
What is the correlation coefficient (r) for the best data set
If the coefficient of determination is 0.5625 then calculate the correlation coeffcien
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with Total Cost (in dollars) 876543 ~ TO 0 0 1 Donut Pricing 2 3 4 5 Number of Donuts 6 7 8 line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. Part B: How many positive and negative residuals are there? Explain your reasoning. Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data.
The professor of an introductory statistics course has found something interesting: there is a small correlation between scores on his first midterm and the number of years the test-takers have spent at the university. For the 55 students taking the course, the professor found that the two variables number of years Espa spent by the student at the university and score on the first midterm have a sample correlation coefficient r of about -0.36. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H and the alternative hypothesis H . Aa 0, B H, :0 H : O=0 (b) Determine the type of test statistic to use. (Choose one) ▼ O
An ecologist is interested in exploring the relationship between pollination rate and the number of bees present at apple orchards. The relationship is: (Pollination rate) = 372.6 + 13.5 x (bees) with r = 0.80. The best interpretation of the correlation coefficient is: (pick one) 1. 64% of the variability in pollination rate observed at apple orchards is explained by the relationship with the number of bees 2. the correlation between pollination rate and number of bees is 0.64 3. 80% of the variability in number of bees at apple orchards is explained by the relationship with the pollination rate 4. the correlation between pollination rate and number of bees is 0.80
If the correlation coefficient r is equal to 0.585, find the coefficient if determination and the coefficient of no determination
Once the correlation coefficient is known, how can we find the amount of the shared variance?