Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Significant test for slope

The personnel director from electronics associates developed the following estimated regression equation relating an employee's score on a job satisfaction test to length of service and wage rate.

Y = 14.4 - 8.69x1 + 13.52x2

Where
x1 = length of service (years)
x2 = wage rate (dollars)
y = job satisfaction test score (higher score indicate greater job satisfaction)

A portion of the Minitab computer output follows. The regression equation is 
Y = 14.4 - 8.69 X1 + 13.52 X2

Predictor

Coef

SE Coef

T

Constant

14.448

8.191

1.76

X1

 

1.555

 

X2

13.517

2.085

 

 

S = 3.773

R-sq = _____%

R - sq (adj) = _____%

Analysis of Variance

SOURCE

DF

SS

MS

F

Regression

2

 

 

 

Residual Error

 

71.17

 

 

Total

7

720.0

 

 

a. Complete the missing entries in this output (to 2 decimals).
Estimated Regression Equation

Predictor

Coefficient

SE Coefficient

T

Constant

14.448

8.191

1.76

X1

 

1.555

 

X2

13.517

2.085

 

R2_____ %
Analysis of Variance

Source

DF

SS

MS

F

Regression

2

 

324.415

22.79

Residual Error

5

71.17

14.234

 

Total

7

720.0

 

 


b. Using α = .05, is a significant relationship present?

c. Did estimated regression equation provide a good fit to the data?

d. Using the t test and α = .05 to test H0: β1 = 0 and β2 = 0
Compute the t test statistic for β1 (to 2 decimals).
What is the conclusion?
figure the t test statistic for β2 (to 2 decimals).
What is the conclusion?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M922830

Have any Question? 


Related Questions in Statistics and Probability

Letnbspnbspnbspbe a random process where

Let     be a random process, where A n  and    is the Kronecker delta function. This process is sometimes used as a model for random noise. (a) Find the time-varying autocorrelation function  (c) Find the PSD of this pro ...

Suppose a pair of random variablesnbsp xy uniformly

Suppose a pair of random variables  (X,Y) uniformly distributed over a rectangular region  Find the conditional PDF (X,Y) given the conditioning event   where the region is an arbitrary region completely contained within ...

Supposenbspnbspis a circular gaussian random variable whose

Suppose   is a circular Gaussian random variable whose PDF is described by Equation, (a) Find the PDF of the magnitude,   for the special case when  (b) Find the PDF of the magnitude  for the general case when  (c) For t ...

Consider a vector of n random variablesnbspnbspsuppose we

Consider a vector of N random variables   Suppose we form a new random variable  Z by performing a weighted average of the components of . That is,   Find the values of the constants b I  such that the variance of Z  is ...

How did egypts physical location along the nile river

How did Egypt's physical location along the Nile River affect the culture's political system,religion, and art? Explore at least three examples.

Can someone please help me understand and answer the

Can someone please help me understand and answer the following statistical questions: 1. Suppose the random variable X is normally distributed with µ = 90 and σ2 = 16. What is the value of b such that P(X ≤ b) = 0.0062? ...

A certain light bulb manufacturer makes two types of bulbs

A certain light bulb manufacturer makes two types of bulbs, a low-cost short-life (Stype) bulb and a more expensive long-life (L-type) bulb. The two types of bulbs look identical and so the company must be sure to carefu ...

The amount of time university professors devote to their

The amount of time university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. 1. What is the probability that a professor selected at random w ...

1 in each of the following classify the resulting data

1. In each of the following, classify the resulting data variable as qualitative or as quantitative. If quantitative, label as discrete or as continuous. a. The U.S. Census Bureau collects data on household size in the U ...

Suppose we flip a coin three times thereby forming a

Suppose we flip a coin three times, thereby forming a sequence of heads and tails. Form a random vector by mapping each outcome in the sequence to 0 if a head occurs or to 1 if a tail occurs. (a) How many realizations of ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate