i t-Distribution TableA random sample of two variables, x and y, produced the observationsshown to the right.10719 10PROBABILITIES TOR AKEASUNDEKT-DISTKIBUTION CURVEJa. Develop a scatter plot for the two variables and describe whatrelationship, if any, existsb. Compute the correlation coefficient for these sample datac. Test to detemine whether the population corelation coefficient ispositive. Use a significance level of 0.01 for the hypothesis test.1316 917 9Conf. Level0.10.30.350.70.50.70.150.80.90.950.980.010.020.50.250.50.050.10.0250.05One Tail0.450.10.00.0Two Tails0.90.30.2116.20 11Values ofdfr0.15840.14210.13660.50950.44471.96261.38621.24981.18961.15583.07771.88561.63771.53321.47596.31372.92002.353412.70624.30273.182431.82106.96454.54073.74693.364915 81.0000631Click the icon to view the t-distribution table0.81650.76490.74070.72679.0.424230.13380.13225.1a. Which graph below shows a scatter plot for these data?0.41422.13182.01502.77652.57064.10.408241OA.OB.В.OC.0.13110.40430.40150.39950.39790 19661.13421.43981.41491.94322.44693.14272.99790.13030.12970.12930 12890.71760.71110.70640.70273.3.3.2L11921.89461.85951.83312.36462.30602.262222281AY20-1.39681.38302012-1.10812,89659.1.09973.21 09112.821427638100699813722181251010-0-1012PrintDoneThere appears to beV linear relationship between x and y A random sample of two variables, x and y, produced the observationsshown to the right.1019 10a. Develop a scatter plot for the two variables and describe whatrelationship, if any, exists.b. Compute the correlation coefficient for these sample data.c. Test to determine whether the population correlation coefficient ispositive. Use a significance level of 0.01 for the hypothesis test13 716179.6.1120 11158Click the icon to view the t-distribution table.b. What is the correlation coefficient for these sample data?(Round to two decimal places as needed.)c. What are the appropriate hypotheses to test for a positive correlation coefficient?O A. Ho ps0H p>0O B. H, p20Hp<0OC. Ho p>0H ps0O D. H, p#0H p=0OF. H, ps0O E. H, p=0Hintn

The test statistic for testing the correlation coefficient is given by, The critical value is…

Arandom sample of two variables, x and y, produced the observations shown to the right 10 19 10 a. Develop a scatter plot for the two variables and describe what relationship, if any, exists b Compute the correlation coefficient for these sample data. c. Test to detemine whether the population corelation coefficient is positive. Use a significance level of 0.01 for the hypothesis test 13 7. 16 17 11 6 20 11 15 8 O Click the icon to view the t-distribution table.

Arandom sample of two variables, x and y, produced the observations shown to the right 10 19 10 a. Develop a scatter plot for the two variables and describe what relationship, if any, exists b Compute the correlation coefficient for these sample data. c. Test to detemine whether the population corelation coefficient is positive. Use a significance level of 0.01 for the hypothesis test 13 7. 16 17 11 6 20 11 15 8 O Click the icon to view the t-distribution 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: in anxiety level for patients in the three groups. Suppose the anxiety level of a patient selected…

Q: 9. Find the first quartile and the third quartile for the following data: 2.1, 2.1, 2.2, 2.4, 2.5,…

A: Solution-: We find First quartile () and third quartile () from given data.

Q: Consider the four data sets shown in the accompanying table. Complete parts (a) and (b) below.…

A: Linear Correlation Coefficient Formula:r=(n∑x2−(∑x)2)(n∑y2−(∑y)2)n(∑xy)−(∑x)(∑y)…

Q: The following data set belongs to a sample: 12 18 -3 7 7 -19 Calculate…

A: Mean = summation Xi / n Here n= 6 Mean = (12+18-3+7+7-19)/6 Mean = 3.67

Q: The data below show the number of three-base hits (triples) and the number of home runs hit during…

A: Given that, the data showa the number of three-base hits (triples) and the number of home runs hit…

Q: What test I use? -Independent samples t test -ANOVA -Paired samples t test -Correlation

A: Answer: Given that, The principal of an elementary school wanted to see if there are differences in…

Q: Click the icon to view the table of critical values of the correlation coefficient. 4 15 24 37 51 74…

A: From the above data (a) Which variable is likely the explanatory variable and which is the response…

Q: A sample of 20 program participants exercised for the following number of minutes for 3 days: 1: 0…

A: Given: Sum of frequencies =20 f(0 minutes) = 1 f(10 minutes) = 2 f(15 minutes) = 1 f(20 minutes) = 3…

Q: B F rch company tests the effectiveness of three new flavorings for a new sauce using a sar vor 1,…

A: Given,

Q: A random sample of 120 married or de facto couples in the Sydney region has been selected to study…

A: Given Information: Test run:=Chi-squared goodness of fit testχ2=73.544df=3p-value=7.431e-16

Q: Consider the following set of data. 12, 13, 13, 15, 16, 17, 18, 20, 20, 20, 22, 26. Compute the…

Q: Given the linear correlation coefficient r and the sample size n, determine the critical values of r…

Q: Refer to the measured systolic and diastolic blood pressure measurements of 40 randomly selected…

A: Given data and calculation is shown below Systolic(x) Diastolic(y) x2 y2 xy 133 79 17689 6241…

Q: Create a distribution of 1000 simulated sample statistics we might expect to see if the null…

A: The objective is to describe the shape, center, and variability of the distribution of simulated…

Q: 8 F. b| 13 ョ|^,黑, I Normal T Aa A AaBbCcI AaBbCcI AABBCCD AaB AaBbCcI I No Spac... Heading 2…

A: As given in the test, we need to find if, the elderly people who own pets are equally likely to…

Q: Determine whether the samples are independent or matched pairs. The effectiveness of a headache…

A: Here the variables are X1: intensity of a headache before drug treatment and X2: intensity of a…

Q: Find a 90% confidence interval for the coefficient of x2 in the regression equation. Round your…

A: Coefficient of x2 = 1.257 Standard error of x2 = 0.635 t-critical value at df = 12 and alpha(0.1) is…

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

A: Given data: Commute Time (in minutes) Well-Being Score 3 69.8 14 68.7 25…

Q: Find the Linear Correlation Coefficient r = Find the p-value p-value = The p-value is?…

A: Ticket Price Attendence (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 6 145 -14 196…

Q: The accompanying table shows the maximum weights (in kilograms) for which one repetition of a…

Q: The accompanying table lists the ages of acting award winners matched by the years in which the…

A: Let X denote the best Actress Let Y denote the best Actor computation: From the table,

Q: Ho: p = 0 Ha: p > 0 Find the Linear Correlation Coefficient K

A: Given : sr.no X Y 1 18 35 2 38 26 3 18 23 4 57 36 5 64 29 6 80 29 7 53 36

Q: Perform a Chi square analysis of the M&M color distribution. aggregate data. You must do a Chi…

A: The provided information is as follows:The data set is given as Observed M &M…

Q: For each sample, do a test for zero correlation. a. r = +.45, n = 20, α = .05, two-tailed test…

A: For each given sample, we perform a test for zero correlation. a. r=0.45, n=20, α=0.05, two-tailed…

Q: To determine if their 3.00 centimeter washers are properly adjusted, Hutcheson & Gregory…

A: Please find the explanation below. Thank you

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

i t-Distribution Table
A random sample of two variables, x and y, produced the observations
shown to the right.
10
7
19 10
PROBABILITIES TOR AKEASUNDEKT-DISTKIBUTION CURVEJ
a. Develop a scatter plot for the two variables and describe what
relationship, if any, exists
b. Compute the correlation coefficient for these sample data
c. Test to detemine whether the population corelation coefficient is
positive. Use a significance level of 0.01 for the hypothesis test.
13
16 9
17 9
Conf. Level
0.1
0.3
0.35
0.7
0.5
0.7
0.15
0.8
0.9
0.95
0.98
0.01
0.02
0.5
0.25
0.5
0.05
0.1
0.025
0.05
One Tail
0.45
0.1
0.0
0.0
Two Tails
0.9
0.3
0.2
11
6.
20 11
Values of
df
r
0.1584
0.1421
0.1366
0.5095
0.4447
1.9626
1.3862
1.2498
1.1896
1.1558
3.0777
1.8856
1.6377
1.5332
1.4759
6.3137
2.9200
2.3534
12.7062
4.3027
3.1824
31.8210
6.9645
4.5407
3.7469
3.3649
15 8
1.0000
631
Click the icon to view the t-distribution table
0.8165
0.7649
0.7407
0.7267
9.
0.4242
3
0.1338
0.1322
5.1
a. Which graph below shows a scatter plot for these data?
0.4142
2.1318
2.0150
2.7765
2.5706
4.1
0.4082
41
OA.
OB.
В.
OC.
0.1311
0.4043
0.4015
0.3995
0.3979
0 1966
1.1342
1.4398
1.4149
1.9432
2.4469
3.1427
2.9979
0.1303
0.1297
0.1293
0 1289
0.7176
0.7111
0.7064
0.7027
3.
3.
3.2
L1192
1.8946
1.8595
1.8331
2.3646
2.3060
2.2622
22281
AY
20-
1.3968
1.3830
20
12-
1.1081
2,8965
9.
1.0997
3.2
1 0911
2.8214
27638
10
06998
13722
18125
10
10-
0-
10
12
Print
Done
There appears to be
V linear relationship between x and y

A random sample of two variables, x and y, produced the observations
shown to the right.
10
19 10
a. Develop a scatter plot for the two variables and describe what
relationship, if any, exists.
b. Compute the correlation coefficient for these sample data.
c. Test to determine whether the population correlation coefficient is
positive. Use a significance level of 0.01 for the hypothesis test
13 7
16
17
9.
6.
11
20 11
15
8
Click the icon to view the t-distribution table.
b. What is the correlation coefficient for these sample data?
(Round to two decimal places as needed.)
c. What are the appropriate hypotheses to test for a positive correlation coefficient?
O A. Ho ps0
H p>0
O B. H, p20
Hp<0
OC. Ho p>0
H ps0
O D. H, p#0
H p=0
OF. H, ps0
O E. H, p=0
Hintn

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 6 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

estion 3 of 38 university and gathers their freshman year GPA data and the high school SAI score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Variable Sample Sample standard Variable description mean deviation high school SAT score x 1504.291401 Sx = 105.782904 %3D y freshman year GPA y = 3.240805 Sy = 0.441205 r = 0.506701 slope 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. tems of use Thelp about us குசங் careers 2:30 PM 10/24/20 o耳国 @ hp
Can you help me with the p-value I answered 0.034 which is incorrect
tab Determine if there is a significant correlation between the sets of data at a 10% significance level. 31 29 57 35 60 62 49 62 50 35 37 32 57 20 X y 55 38 Negative Critical Value, tcrit Submit Question esc Positive Critical Value, tcrit Test Statistic, ttest C 2 F Test Conclusion: Reject Ho. There is enough evidence to suggest a significant (positive or negative) linear correlation between the data sets. W = Fail to Reject Ho. There is not enough evidence to suggest a significant (positive or negative) linear correlation between the data sets. 3 H [three decimal accuracy] [three decimal accuracy] [three decimal accuracy] a E A 4 do *5 R T < 6 Y
DII Given below are the sample means for fifteen samples consisting of five data values each. Assume that the mean of the sample means is ten and the computed values for the UCL and LCL of the chart are 15 and 5, respectively. Below is the chart. Is this process in statistical control? Why or why not? Select the best answer choice. Sample 1 2 3 Mean 9 11 6 17+ 16- 15 14+ 13+ 12+ 11+ 10- 9. 8+ 7- 6 5 4. 3- 2- 1- R Submit Question $ F4 % -1 + O No, because there are eight consecutive points all above or all below the centerline. O No, because there is a point lying beyond the upper or lower control limit. O No, because there is a pattern, trend, or cycle that is obviously not random. O No, because more than one of the answer choices above are correct. O Yes, this process is within statistical control. 5 T 4 5 12 9 ▬▬ FS 6 7 8 11 7 8 6 6 Y H 49 9 10 12 16 F6 8 & 7 9 U 11 12 6 13 J 10 F7 11 13 14 15 12 11 7 8 12 PrtScn 13 FB K 15 9 UCL centerline LCL Home 16 Q F9 L ) End 0 F10 A PgUp ☎
Please no written by hand
At the .05 significance level, does the data below show significant correlation? x y 3 12.87 4 13.66 5 17.95 6 23.44 7 15.93 8 13.62 9 27.91
9. Find the first quartile and the third quartile for the following data: 2:1, 2.1, 2.2, 2.4, 2.5, 2.5, 2.5, 2.5, 2.6, 2.6, 2.6, 2.7, 2.7, 2.7, 2.8, 2.9, 3.0, 3.0, 3.2, 3.2, 3.3, 3.3, 3.5, 3.6, 4.0. 7.3 Thisd Bie 25/0 2.5 3.2
Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Use a significance level of x = 0.05 to answer the following questions. Correlation Results Correlation coeff, r: Critical r: P-value (two tailed): 0.000 Identify the correlation coefficient, r. r= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) OA. There are two critical values at r= ± OB. There is one critical value at r= Is there sufficient evidence to support the claim that there is a linear correlation between the weigh of bears and their chest sizes? Choose the correct below and, if necessary, fill in the answer box within your choice. (Round to three decimal places as needed.) exceeds the critical value. A. No, because the absolute value of r= OB. Yes, because the absolute value of r= OC. No, because r= exceeds the positive critical value. falls…
Two companies produce small motorcycles of varying quality. An important measure of quality is the top speed the motorcycle can obtain on a flat surface. Do the following data provide evidence that the average top speed of cycles from these two companies differ? Report the p-value to two decimal places. Do not assume equal variances. Top Speed in mph from Company 1 Top Speed in mph from Company 2 21.5 53.0 20.3 40.1 49.6 49.3 43.8 51.6 50.5 52.6 52.5 50.6 47.8 37.0 33.2