Question

In: Math

A company would like to determine the relationship between: the time (in years) spent at the...

A company would like to determine the relationship between: the time (in years) spent at the company and the employee’s hourly pay. The data for 5 employees are listed in the table below. Calculate and interpret the correlation coefficient r. Include a plot of the data in your discussion.

years (X) hourly pay (Y)
5 25
3 20
4 21
10 35
15 38

a. Calculate the Pearson correlation coefficient for the data.

b. Use an appropriate 2-tailed hypothesis test (ɑ = .05) to determine whether this relationship is statistically significant.

c. Based on your calculations, what can we conclude about the relationship between the time spent at the company and hourly pay?

Solutions

Expert Solution


Related Solutions

An Internet retailer would like to investigate the relationship between the amount of time in minutes...
An Internet retailer would like to investigate the relationship between the amount of time in minutes a purchaser spends on its Web site and the amount of money he or she spends on an order. The table to the right shows the data from a random sample of 12 customers. Construct a 90​% confidence interval for the regression slope. Construct a 90​% confidence interval for the slope. LCL equals nothing and UC Lequals nothing ​(Round to three decimal places as​...
A teacher is interested in the relationship between the time spent studying for an exam and...
A teacher is interested in the relationship between the time spent studying for an exam and exam score. The table lists scores for 5 students. The value of b0 = 67.91 and the value of b1 = 0.75 Hours studied 5 18 3 15 17 Exam score 63 87 79 72 82 . Step 4 of 6 : Calculate the Coefficient of Determination (R2). Round answer to four decimal places.
A researcher believes that there is a positive relationship between the time spent in studying and...
A researcher believes that there is a positive relationship between the time spent in studying and the score a student gets at the end of the semester. She selected a sample of students and recorded the following data: Time Spent in minutes Score out of 100 120 86 75 83 60 78 45 75 180 91 30 72 90 84 After analyzing the data using Microsoft Excel, the researcher got the outputs below: Answer the following (Please, use at least...
A psychologist would like to determine whether there is any consistent relationship between intelligence and creativity.  The...
A psychologist would like to determine whether there is any consistent relationship between intelligence and creativity.  The psychologist obtains a random sample of n = 18 people and administers a standardized IQ test and a creativity test to each individual.  Using these data, the psychologist obtains a Pearson correlation of r = +.20 between IQ and creativity. a.  Do the sample data provide sufficient evidence to conclude that a real (non-zero)      correlation exists in the population?  Test at the .05 level of significance. b.  If...
A manager of the company would like to determine average delivery time of the products. A...
A manager of the company would like to determine average delivery time of the products. A sample of 25 customers is taken. The average delivery time in the sample was four days with a standard deviation of 1.2 days. Suppose the delivery times are normally distributed. Provide a 95 % confidence interval for the mean delivery time. The manager claims that the average delivery time of their products does not exceed 3 days. Write the null and alternative hypothesis regarding...
18. A social scientist would like to analyze the relationship between educational attainment (in years of...
18. A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows: Salary Education 33 4 71 2 ⋮ ⋮ 35 0 a. Find the sample regression equation for the model: Salary = β0 + β1Education + ε. (Round answers to 3 decimal places.) Salaryˆ=Salary^=    +   Education b. Interpret the coefficient for Education. As Education increases by...
A social scientist would like to analyze the relationship between educational attainment (in years of higher...
A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows: Salary Education 32 1 55 1 85 5 55 1 76 8 69 7 114 12 54 0 25 5 36 3 97 5 45 2 62 1 58 9 146 12 58 0 84 2 70 5 129 12 32 0 Find the...
A social scientist would like to analyze the relationship between educational attainment (in years of higher...
A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows: Salary   Education 38   5 70   5 96   8 55   3 80   9 78   8 108   9 49   0 31   6 37   6 96   5 40   1 69   7 70   7 166   5 63   0 83   1 62   3 131   5 28   0 Find the...
A social scientist would like to analyze the relationship between educational attainment (in years of higher...
A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows: Salary Education 34 2 63 3 79 5 49 5 72 6 79 6 110 11 58 0 24 2 30 5 96 7 50 6 69 6 62 7 156 10 56 0 91 3 61 9 123 8 37 0 a. Find...
A social scientist would like to analyze the relationship between educational attainment (in years of higher...
A social scientist would like to analyze the relationship between educational attainment (in years of higher education) and annual salary (in $1,000s). He collects data on 20 individuals. A portion of the data is as follows: Salary Education 38 5 70 5 ⋮ ⋮ 28 0 Click here for the Excel Data File Salary Education 38 5 70 5 96 8 55 3 80 9 78 8 108 9 49 0 31 6 37 6 96 5 40 1 69...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT