A company studying the productivity of its employees on a new information system was interested in determining if the age (X) of data entry operators influenced the number of completed entries made per hour (Y). The regression equation is ? = 14.374 – 0.145x. If sx = 14.04 and sy = 2.61, then what is the correlation coefficient between age and productivity? A. 0.780 B. – 0.780 C. – 0.236 D. 0.575
Added by Cristian L.
Close
Step 1
Step 1: Given correlation coefficient formula is \( r = \frac{S_{xy}}{S_x \cdot S_y} \) Show more…
Show all steps
Your feedback will help us improve your experience
David Nguyen and 74 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
A researcher wishes to determine if a person's age is related to the number of hours he or she exercises per week. The data for the sample are shown below: Age (x) Hours (y) 18 10 26 7 32 6 38 4 52 3 59 2 66 1 a. Compute the correlation coefficient of the sample (r). b. State the hypotheses about the correlation coefficient of the population (p). c. Test the significance of the correlation coefficient at α = 0.05. d. Find the equation of the regression line. e. How many hours will a 30-year-old woman spend exercising? f. What is the coefficient of non-determination?
Jerelyn N.
Question 23 A company wants to study the effect of an employee's length of employment on their number of workdays absent. The company collected the following information on a random sample of seven employees, and analyzed the relationship by using linear regression model with outputs as follows, What is the predicted linear regression equation ? Ŷ = 7.741 - 0.685 X Ŷ = -7.741 + 0.685 X Ŷ = -7.741 - 0.685 X Ŷ = 7.741 + 0.685 X
Sri K.
A company producing computer components has established that, on the average, a new employee can assemble $N(t)$ components per day after $t$ days of on the-job training, as indicated in the following table (a new employee's productivity usually increases with time on the job, up to a leveling-off point): (A) Find a quadratic regression equation for the data, and graph it and the data set in the same viewing window. (B) Use the regression equation and a numerical integration routine on a graphing calculator to approximate the number of units assembled by a new employee during the first 100 days on the job.
Integration
The Fundamental Theorem of Calculus
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