The data shown in the table were collected by surveying 100 employees with five years’ experience. Find the correlation relationship for the data. Identify and discuss the type of correlation, and whether is negative or positive, strong or weak. Predict the estimates salary with 20 years of schooling.
Years of schooling |
Total annual salary |
10 |
$32 K |
12 |
$33 K |
13 |
$44.3 K |
15 |
$55.7 K |
18 |
$60 K |
The data shown in the table were collected by surveying 100 employees with five years’ experience....
The annual salary and the number of years of teaching experience were recorded for 100 high school teachers in northern Ohio. When the data points were plotted using a scatterplot, the relationship was shown to be linear and positive, with a correlation of r = 0.75 between salary and number of years of teaching experience. If we construct a regression equation to predict salary based on years of teaching experience, approximately what percentage of the variability in salary would be...
To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual salary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress. Click on the datafile logo to reference the data. a. Select a scatter diagram for these data with average annual salary as...
3. A sample of seven households was obtained, and information on their income and food expenditures for the past month was collected. The data (in hundreds of dollars) are: ) Put the points into your calculator list. Use your calculator to perform linear regression. What is the correlation? Is it positive, negative, or neither? Is it strong or weak? Find the equation of the line of best fit. (c) Write a sentence that interprets the estimated slope. (d) Use your...
2. The following table presents data collected on years of prior work experience (X) and hourly starting wages in $) for a group of employees at a company. 0 2 3 Y 10 13 14 16 15 14 6 15 14 15 Calculate the regression slope (b) and Y intercept (a) and write out the regression equation. Use 4 decimal places when computing your answer and 2 decimal places when reporting your final answer
A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. Years of Experience Annual Sales ($1000s) Salesperson 80 100 119 138 153 166 168 171 180 194 The data on y = annual sales ($1000s) for new customer accounts and <= number of years of experience for a sample of 10 salespersons provided the estimated regression equation ý = 72.36 + 15.21x. For...
QUESTION 26 A cognitive psychologist conducted a study of whether familiarity of words (X) predicts the time it takes (in seconds) to press a button indicating whether the word is singular or plural (Y), with all participants being given the same words. Familiarity with these words was rated at a later time on a 7-point scale (with higher numbers indicating more familiarity). The participants' scores were: X Y 6 0.3 1.5 5 0.8 2 3 1.4 Based on these data...
The accompanying table shows the ages (in years) of 11 children and the numbers of words in their vocabulary. Complete parts (a) through (d) below. ... (a) Display the data in a scatter plot. Choose the correct graph below. A. 0246806001200180024003000Age (years)Vocabulary size A scatter plot has a horizontal axis labeled Age in years from 0 to 8 in increments of 1 and a vertical axis labeled Vocabulary size from 0 to 3000 in increments of 300. The following 11...
Suppose the following table was generated from sample data of 20 20 employees relating hourly wage to years of experience and whether or not they have a college degree. Using statistical software, create an indicator (dummy) variable for the variable "Degree" and find the regression equation. Is there enough evidence to support the claim that on average employees with a college degree have higher hourly wages than those without a college degree at the 0.05 0.05 level of significance? If...
A survey found that social networking is popular in many nations around the world. Data was collected on the level of social media networking (measured as the percent of individuals polled who use social networking sites) and the GDP per capita based on purchasing power parity (PPP) for 24 countries. Complete parts (a) through (c). Country GDP (PPP) Social media usage (%) 1 18,082 67 2 15,829 58 3 6118 47 4 6551 44 5 9942 41 6 15,270 41...
The data below gives the gold medal times for every other Summer Olympics for the women's 100- meter freestyle (swimming). Can you predict the gold medal times by the year? Year Time (seconds) 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 Question 46 (2.63 points) What is the independent variable? O gold medal times years Question 47 (2.63 points) What is the dependent variable? gold medal times years Question 48 (2.63 points) What is the y-intercept?...