Applicants for a job in a foreign country are given a language proficiency test. The following...

Applicants for a job in a foreign country are given a language proficiency test. The following data shows the number of years they have studied the language and their grade on the test.

No. of years,x	3	4	4	5	3	6	2	3	7
Test grade, y	61	68	75	82	73	90	58	72	93

(2 pts.)Plot the scatter diagram for the data on the axes below:

(3 pts.)Find the coefficient of correlation ( r

(3 pts.)Find the Regression line equation for this data.

(2 pts.)Plot the regression line on the same set of axes as the scatter diagram.

Solutions

Expert Solution

The equation has the form = a + bX ,

where Y is the dependent varible, X is the independent variable , 'b' is the slope of the line, and 'a' is the y-intercept

FORMULA :

CORRELATION COEFFICIENT :

ii)

iii)

Regression line :

= a + bX ,

a =46.26064

b = 6.90957

iv)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

Applicants for a job in a foreign country are given a language proficiency test. The following...

Applicants for a job in a foreign country are given a language proficiency test. The following data shows the number of years they have studied the language and their grade on the test. No. of years, x344536237 Test grade, y616875827390587293 (1.)Plot the scatter diagram for the data on the axes below: (2.)Find the coefficient of correlation ( r ) (3.)Find the Regression line equation for this data. (4.)Plot the regression line on the same set of axes as the scatter...

If 80% of the applicants are able to pass a driver’s proficiency road test, find the mean, variance,

If 80% of the applicants are able to pass a driver’s proficiency road test, find the mean, variance, and standard deviation of the number of people who pass the test in a sample of 300 applicants.

Applicants for a job, which involves extensive travel in Spanish speaking countries, must take a proficiency...

Applicants for a job, which involves extensive travel in Spanish speaking countries, must take a proficiency test in Spanish. The sample data below were obtained in a study of the relationship between the numbers of years applicants have studied Spanish (x) and their score on the test (y). Conduct a formal hypothesis test to test for a linear correlation between the number of years a person has studied Spanish and their score on the test. Use a 0.05 significance level....

A large Software company gives job applicants a test of programing ability and the mean for...

A large Software company gives job applicants a test of programing ability and the mean for that test has been 180 in the past with a population std. dev. of 20. A random sample from 35 applicants shows a mean of 183. Use a 0.5 level of signiﬁcance to test the claim that this sample comes from a population with a mean greater than 180. (a) Draw a curve and label each part to reﬂect a left, right, or two...

Among the 120 applicants for a job, only 80 are qualified. If 5 of these applicants...

Among the 120 applicants for a job, only 80 are qualified. If 5 of these applicants are randomly selected for an interview, answer the following: a. Identify the random process b. Define a variable c. Associate the random variable with a distribution and its parameters Solve using Rstudio: d. Find the probability that exactly 2 of the 5 are qualified for the job e. Find the probability that at least 3 of the 5 are qualified for the job f....

A personnel manager has found that historically the scores on aptitude test given to applicants for...

A personnel manager has found that historically the scores on aptitude test given to applicants for entry level positions follow a normal distribution. A random sample of nineteen test scores from the current group of applicants had a sample mean score of 187.9 points and sample standard deviation as 32.4 points. a. Find the margin of error. b. Construct a confidence interval estimate for population mean with 80 percent level of confidence. c. Construct a confidence interval estimate for population...

Scenario C: SonicStar Inc. requires its job applicants to take a test that measures their vocabulary...

Scenario C: SonicStar Inc. requires its job applicants to take a test that measures their vocabulary and numerical skills. In addition to the written test, for specific jobs the company also requires its applicants to perform a sample of the job. Before implementing the tests, the management analyzes how well the test actually correlates and predicts job performance. When SonicStar Inc. needed to downsize, the company helped employees who were laid off to get placed in other organizations, and immediate...

× course.content.assessment.attempt.menu Test Finance Proficiency Quiz 1 Finance Proficiency Quiz 1 Test Content Question 1 10...

× course.content.assessment.attempt.menu Test Finance Proficiency Quiz 1 Finance Proficiency Quiz 1 Test Content Question 1 10 Points Net sales are $10,000,000, beginning total assets are $2,000,000, and the asset turnover is 4.0 times. What is the ending total asset balance? $2,000,000 $2,500,000 $3,000,000 $4,000,000 Question 2 10 Points Which one of the following is a component of Liquidity analysis? Asset Turnover Current Ratio Return on Assets Debt to Total Assets Question 3 10 Points Darius, Inc. has the following income...

The rate of vocabulary memorization of the average student in a foreign language course is given...

The rate of vocabulary memorization of the average student in a foreign language course is given by dv dt = 20 t + 1 where t is the number of continuous hours of study, 0 < t ≤ 4, and v is the number of words. How many words would the student memorize in 3 hours? (Round your answer to the nearest whole number.) words

Beeko’s Beakers requires job applicants to complete several online tests before an interview occurs. One test...

Beeko’s Beakers requires job applicants to complete several online tests before an interview occurs. One test measures vocabulary and mathematical skills, another test measures extraversion and conscientiousness, and a third test has scenarios asking participants to make a behavioral choice in a scenario. The type of test measuring vocabulary and mathematical skills is a ______ test. performance cognitive ability integrity Beeko’s Beakers requires job applicants to complete several online tests before an interview occurs. One...

Subjects