In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Round the regression line values to the nearest hundredth. Number of years, x | 3 | 4 | 4 | 5 | 3 | 6 | 2 | 7 | 3 | Grades on test, y | 61 | 68 | 75 | 82 | 73 | 90 | 58 | 93 | 72 | y? = 46.26x - 6.91 y? = 6.91x + 46.26 y? = 6.91x - 46.26 y? = 46.26x + 6.91
Added by Heather P.
Close
Step 1
** - $\bar{x} = \frac{3 + 4 + 4 + 5 + 3 + 6 + 2 + 7 + 3}{9} = 4$ - $\bar{y} = \frac{61 + 68 + 75 + 82 + 73 + 90 + 58 + 93 + 72}{9} = 74$ Show more…
Show all steps
Your feedback will help us improve your experience
David Nguyen and 59 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
In order for applicants to work for the foreign service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. Calculate the correlation coefficient, r. Number of years (x): 7 8 8 9 7 10 6 11 7 Grades on test (y): 64 71 78 85 76 93 61 96 75
Madhur L.
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary: Two different tests are designed to measure employee productivity and dexterity. Several employees are randomly selected and tested with these results: Productivity (x): 23 25 28 21 21 25 26 30 34 36 Dexterity (y): 49 53 59 42 47 53 55 63 67 75
Use the formulas obtained in Exercise 49 to find and draw the regression line. If you have a calculating utility that can calculate regression lines, use it to check your work. $$ \begin{array}{|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} \\ \hline y & {1.5} & {1.6} & {2.1} & {3.0} \\ \hline\end{array} $$
PARTIAL DERIVATIVES
Maxima and Minima of Functions of Two Variables
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD