Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 11 14 6 4 12 7 7.45 6.76 12.75 7.11 7.81 8.85 6.08 5.39 8.16 6.42 5.72 Click here to view a table of critical values for the correlation coefficient. A Table of Critical Values - X a. Construct a scatterplot. Choose the correct graph below. OA. O B C. AY 16- Ay 16- Q Ay 16- a = .05 a = 01 12- 12- 12- 4 .950 .990 8- 8- 8- ....... 878 .959 4- 4- 4- 6 811 .917 .754 875 12 16 8 12 16 8. 707 .834 9. .666 798 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. 10 .632 .765 The linear correlation coefficient is r=O .602 11 .735 12 .576 .708 (Round to three decimal places as needed.) 13 .553 684 14 .532 .661 15 .514 .641 16 .497 .623 17 482 .606 18 468 .590 19 456 575 20 444 .561 25 396 .505 30 361 463 35 335 430 40 312 402 45 294 .378 50 279 361 60 254 330 70 236 .305 80 220 286 90 207 269 100 196 256 NOTE: To test Hop = 0 against H: p* 0, reject Ho if the absolute value of r is greater than the critical value in the table

Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) 10 8 13 11 14 6 4 12 7 7.45 6.76 12.75 7.11 7.81 8.85 6.08 5.39 8.16 6.42 5.72 Click here to view a table of critical values for the correlation coefficient. A Table of Critical Values - X a. Construct a scatterplot. Choose the correct graph below. OA. O B C. AY 16- Ay 16- Q Ay 16- a = .05 a = 01 12- 12- 12- 4 .950 .990 8- 8- 8- ....... 878 .959 4- 4- 4- 6 811 .917 .754 875 12 16 8 12 16 8. 707 .834 9. .666 798 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. 10 .632 .765 The linear correlation coefficient is r=O .602 11 .735 12 .576 .708 (Round to three decimal places as needed.) 13 .553 684 14 .532 .661 15 .514 .641 16 .497 .623 17 482 .606 18 468 .590 19 456 575 20 444 .561 25 396 .505 30 361 463 35 335 430 40 312 402 45 294 .378 50 279 361 60 254 330 70 236 .305 80 220 286 90 207 269 100 196 256 NOTE: To test Hop = 0 against H: p* 0, reject Ho if the absolute value of r is greater than the critical value in the table

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: OB. 0.196 OC. 0.256 O D. 0

A: Given We can use Excel function CORREL command in Excel for correlation coefficient

Q: IQ score (a) Display the data in a scatter plot. Choose the correct graph below. O A. Data Table…

A: Data given X: 63,59,64,67,58,63,65,55 Y: 107,100,103,112,93,109,116,127

Q: One of the biggest factors in determining the value of a home is the square footage. The…

A: Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a…

Q: a) negative correlation b) positive correlation c) no correlation Determine the linear correlation…

A: 4. Identify the correct option to obtain the linear correlation coefficient. The correct option is…

Q: 10

Q: The data in the table is the number of absences for 5 students and their corresponding grade. Number…

A: Given n=5

Q: The data in the table is the number of absences for 7 students and their corresponding grade.…

A: Solution-: Let, X=The number of absences and Y=Grade X Y 1 5.5 2 5 3 5.4 4 4 5 2.5…

Q: The scatterplot below shows? -weak positive correlation -strong positive correlation -weak…

A: The scatterplot is given.

Q: The following data given are the (X) price changed per piece of plywood, and the (Y) quantity sold…

A: Mote: according to Bartleby an expert solve only one question and maximum 3 subpart of the first…

Q: Calculate your correlation coefficient (r): Click: Calculate correlation. Copy or write this,…

A: From the given question: Correlation r = 0.759

Q: Third Paired Data Set 5 17 14 10 21 12 23 40. Use the Third Paired Data Set. Find the correlation…

A: The table shows x and y values.

Q: Second Paired Data Set 8 9. 10 11 13 17 19 38. Use the Second Paired Data Set. Find the correlation…

A: Given second paired Data set is x y 5 8 9 10 11 13 17 19

Q: The data shown below consists of the price (in dollars) of 7 events at a local venue and the number…

Q: SPSS Assignment: Correlations ne following output shows the results of a correlation analysis,…

A: Correlation, in the finance and investment industries, is a statistic that measures the degree to…

Q: How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y…

A: Solution a)Would you say that correlation is low, moderate or strong? Answer : strong b)Would you…

Q: The paired data below consists of test scores and hours of preparation for 5 randomly selected…

A: strong positive correlation.

Q: The data in the table is the number of absences for 7 students and their corresponding grade. Number…

A: Consider the variable number of absences as x and the variable grades as y.

Q: Use the data values in the table below to calculate the correlation between the variables x and y.…

A: By correlation we mean association or interdependence between two variables. If two variables are…

Q: What correlation best describes the data association shown in the scatterplot? a weak positive…

A: Correlation: The linear relationship between the two variables. Strong Positive correlation: The…

Q: The data below are the number of absences and the final grades Number of absences, x 2 5 8 6 11 4 17…

A: Given data is x y 2 90 5 78 8 72 6 74 11 63 4 84 17 47 10 68 7 74

Q: My answer is incorrect.

Q: A biologist looked at the relationship between number of seeds a plant produces and the percent of…

A: Since, we only do up to three sub parts of a problem, we'll be doing the first three subparts only.…

Q: The data shown below consists of the price (in dollars) of 7 events at a local venue and the number…

A: Given thatTicket price attendence 614310146141421814722143261423013634138H0: ρ=0Ha: ρ<0We have to…

Q: Here is a scatter plot for a set of bivariate data. What would you estimate the correlation…

A: correlation coefficient = -0.9 Explanation:Step 1: Define the different correlation coefficients…

Q: Is there a linear relationship between educational attainment and annual salary? a. Draw the…

A: a. Draw the scatter plot for the variables. b. Describe the relationship, if any, shown by the…

Q: Using the given data to answer the below. Data Set x y 2.2 3.9 3.9 1.5 2.9…

A: We have given that the data set of two random variables X and Y. The linear correlation coefficient…

Q: Based on the scatter plot below, what is the best guess for the value of the correlation? Y 10 6 10…

A: The scatterplot gives an idea of the relationship between the 2 variables.

Q: The data shown below consists of the price (in dollars) of 7 events at a local venue and the number…

Q: he cost of a leading liquid laundry detergent in different sizes is given below Size (ounces) Cost…

A: Hey there! Thank you for posting the question. Since you have posted a question with multiple…

Q: The data in the table to the right are based on the results of a survey comparing the commute time…

A: Commute time (in minutes) Well-Being Score 4 69.2 16 68.4 23 67.2 35 67.1 48 66.5 72…

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

Use the given data set to complete parts (a) through (c) below. (Use a= 0.05.)
10
8
13
11
14
6
4
12
7
y
7.45
6.76
12.75
7.11
7.81
8.85
6.08
5.39
8.16
6.42
5.72
Click here to view a table of critical values for the correlation coefficient.
Table of Critical Values
a. Construct a scatterplot. Choose the correct graph below.
OA.
OB.
Ay
16-
A
16-
16-
a = .05
a = .01
12-
12-
12-
4.
.950
.990
8-
8-
8-
5
.878
.959
4-
...
4-
4-
6
.811
.917
0-
.875
0-
4
0-
754
12 16
12
16
4
8
12
16
.834
.798
8
.707
.666
b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.
10
.632
.765
11
.602
.735
The linear correlation coefficient is r=
12
.576
.708
(Round to three decimal places as needed.)
13
.553
.684
14
.532
.661
15
.514
.641
16
.497
.623
17
.482
.606
18
.468
.590
19
456
.575
20
.444
.561
25
.396
.505
30
.361
.463
35
.335
.430
40
.312
.402
45
.294
.378
50
.279
.361
60
.254
.330
70
.236
.305
.220
90
.207
.269
100
.196
256
NOTE: To test Ho:p = 0 against H: p + 0,
reject Ho if the absolute value of r is
greater than the critical value in the table.

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

View table of critical values for the correlation coefficient.
use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? FORECAST AND ACTUAL TEMPERATURES The table lists actual high temperatures and the high temperatures that were previously forecasted for these same days. The table includes data for ten different days near the author’s home. What does the result suggest about the accuracy of five-day predicted high temperatures?
Using the correlation scale, identify the strength of correlation in each value of r. Values of r Strength of Correlation 0.16 weak positive correlation -1 1. -0.94 2. 0.78 3. 0.43 4. -0.19 5. 6. 7.
Construct a scatter plot for the given data. Determine whether there is a positive correlation, negative correlation, or no linear correlation. x-5-34 1 |-1-202 3-4 y11 6 |-6-13 4 1-4-58
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant linear correlation between ticket price and number of attendees. Use a significance level of 0.01 and round all values to 4 decimal places. Ticket Price Attendence 6 170 10 151 14 171 18 160 22 172 26 179 30 130 Но: р %3D 0 Ha: p = 0 Find the Linear Correlation Coefficient Find the p-value p-value = The p-value is O Less than (or equal to) a O Greater than a
please solve the rest
Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r = As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.567. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Question content area bottom Part 1 Choose the correct answer below. A. The coefficient of determination is 0.321. 32.1% of the variation is explained by the linear correlation, and 67.9% is explained by other factors. B. The coefficient of determination is 0.679. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. C. The coefficient of determination is 0.321. 67.9% of the variation is explained by the linear correlation, and 32.1% is explained by other factors. D. The coefficient of determination is 0.679. 32.1% of the variation is explained by the linear correlation, and 67.9% is…
Help please
Using technology, what is the correlation coefficient? The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table. O -0.997 O -0.503 Weight (x) 8. 12 18 24 30 32 35 37 40 O 0.503 Height (y) 22 23 26 30 32 33 5 36 38 O 0.997
UnattemptedQuestion 1Expand PreviousNext The data below was collected from manufacturer advertisements of their vehicles' horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. x 158 250 340 350 390 190 220 y 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). If there is a linear correlation, write the correlation coefficient below if there is a linear correlation, write the regression equation below. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225 If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower?
x 39 49 57 71 81 86 y 3 6 12 22 28 41 Determine the Correlation Coefficient (r) for the above ordered paired data set. Group of answer choices 1.0156 0.5757 0.7898 0.9696