Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test.
Dependent variable is: Score
R-squared = 83.0%
S = 5.65138 with 10 - 2 = 8 degrees of freedom
A)Score = 31.53333 × Number of Years + 10.90476;We estimate that the scores on the proficiency test for these applicants increase about 10.90476 points for each additional year spent studying Spanish.
B)Score = 31.53333 + 10.90476 × Number of Years;We estimate that the scores on the proficiency test for these applicants increase about 31.53333 points for each additional year spent studying Spanish.
C)Score = 31.53333 + 10.90476 × Number of Years;We estimate that the scores on the proficiency test for these applicants increase about 10.90476 points for each additional year spent studying Spanish.
D)Number of Years = 31.53333 + 10.90476 × Score;We estimate that the number of years spent studying Spanish increases about 10.90476 years for each additional point scored on the test.
E)Score = 31.53333 × Number of Years + 10.90476;We estimate that the scores on the proficiency test for these applicants increase about 31.53333 points for each additional year spent studying Spanish.

Question

Applicants for a particular job,which involves extensive travel in Spanish-speaking countries,must take a proficiency test in Spanish.The sample data were obtained in a study of the relationship between the numbers of years applicants have studied Spanish and their score on the test.
Dependent variable is: Score
R-squared = 83.0%
S = 5.65138 with 10 - 2 = 8 degrees of freedom 
A)Score = 31.53333 × Number of Years + 10.90476;We estimate that the scores on the proficiency test for these applicants increase about 10.90476 points for each additional year spent studying Spanish. 
B)Score = 31.53333 + 10.90476 × Number of Years;We estimate that the scores on the proficiency test for these applicants increase about 31.53333 points for each additional year spent studying Spanish. 
C)Score = 31.53333 + 10.90476 × Number of Years;We estimate that the scores on the proficiency test for these applicants increase about 10.90476 points for each additional year spent studying Spanish. 
D)Number of Years = 31.53333 + 10.90476 × Score;We estimate that the number of years spent studying Spanish increases about 10.90476 years for each additional point scored on the test. 
E)Score = 31.53333 × Number of Years + 10.90476;We estimate that the scores on the proficiency test for these applicants increase about 31.53333 points for each additional year spent studying Spanish.

Quizplus · Accepted Answer

The equation that best represents the relationship between the number of years applicants have studied Spanish and their score on the proficiency test is Score = 31.53333 + 10.90476 × Number of Years. The coefficient associated with the Number of Years variable is positive and statistically significant, indicating that the scores on the test increase as the number of years spent studying Spanish increases. The constant term (31.53333) represents the average score for applicants who have not studied Spanish (i.e., for Number of Years = 0). The interpretation of the coefficient is that we estimate the scores on the proficiency test for these applicants increase about 10.90476 points for each additional year spent studying Spanish.

Applicants for a Particular Job,which Involves Extensive Travel in Spanish-Speaking