Usability professionals salary survey. The Usability

Chapter 12, Problem 9E

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QUESTION:

Usability professionals salary survey. The Usability Professionals’ Association (UPA) supports people who research, design, and evaluate the user experience of products and services. Recently, the UPA conducted a salary survey of its members (UPA Salary Survey, August 18, 2009). One of the report’s authors, Jeff Sauro, investigated how much having a PhD affects salaries in this profession and discussed his analysis on the blog, www.measuringusability. com. Sauro fit a first-order multiple regression model for salary (y, in dollars) as a function of years of experience (\(x_1\)), PhD status (\(x_2 = 1\) if PhD, 0 if not), and manager status (\(x_3 = 1\) if manager, 0 if not). The following prediction equation was obtained:

\(\hat{y}=52,484+2,941 x_{1}+16,880 x_{2}+11,108 x_{3}\)

a. Predict the salary of a UPA member with 10 years of experience who does not have a PhD, but is a manager.

b. Predict the salary of a UPA member with 10 years of experience who does have a PhD, but is not a manager.

c. The following coefficient was reported: \(R_a^2 = .32\). Give a practical interpretation of this value.

d. A 95% confidence interval for \(\beta_1\) was reported as (2700, 3200). Give a practical interpretation of this result.

e. A 95% confidence interval for \(\beta_2\) was reported as (11,500, 22,300). Give a practical interpretation of this result.

f. A 95% confidence interval for \(\beta_3\) was reported as (7,600, 14,600). Give a practical interpretation of this result.

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QUESTION:

Usability professionals salary survey. The Usability Professionals’ Association (UPA) supports people who research, design, and evaluate the user experience of products and services. Recently, the UPA conducted a salary survey of its members (UPA Salary Survey, August 18, 2009). One of the report’s authors, Jeff Sauro, investigated how much having a PhD affects salaries in this profession and discussed his analysis on the blog, www.measuringusability. com. Sauro fit a first-order multiple regression model for salary (y, in dollars) as a function of years of experience (\(x_1\)), PhD status (\(x_2 = 1\) if PhD, 0 if not), and manager status (\(x_3 = 1\) if manager, 0 if not). The following prediction equation was obtained:

\(\hat{y}=52,484+2,941 x_{1}+16,880 x_{2}+11,108 x_{3}\)

a. Predict the salary of a UPA member with 10 years of experience who does not have a PhD, but is a manager.

b. Predict the salary of a UPA member with 10 years of experience who does have a PhD, but is not a manager.

c. The following coefficient was reported: \(R_a^2 = .32\). Give a practical interpretation of this value.

d. A 95% confidence interval for \(\beta_1\) was reported as (2700, 3200). Give a practical interpretation of this result.

e. A 95% confidence interval for \(\beta_2\) was reported as (11,500, 22,300). Give a practical interpretation of this result.

f. A 95% confidence interval for \(\beta_3\) was reported as (7,600, 14,600). Give a practical interpretation of this result.

ANSWER:

Step 1 of 6

(a)

Estimate the salary of a UPA member with 10 years of experience who does not have a PhD, but is a manager.

Here, the dependent variable is salary and the independent variables are experience, PhD status, and manager status.

The regression equation for the model is,

Thus, the predicted value of a member does not have PhD, but manager with 10 years of experience is as follows:

Hence, the predicted salary is .

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