STATS 2B03 Lecture Notes - Analysis Of Variance, Interval Estimation, Prediction Interval

28 views2 pages

lilacdog276

19 Jun 2013

School

Department

Course

Professor

For unlimited access to Class Notes, a Class+ subscription is required.

Document Summary

H0: no linear relationship between y and x. If h0 is not rejected then the regression line = 0hat + 1hatx should not be used. If h0 is not rejected there could be some other relationship between y and x, for example y = 0 + 1x + 2x2. If h0 is not rejected, we can not conclude that there is no linear relationship between y and x. we can only conclude that there is not strong evidence of a linear relationship based on the given data. Step 2: reject h0 if |tn-2|>tn-2, 1- . Example (continued): do not reject h0 since 2. 6988<4. 3027. The hypothesis h0: 1=0, ha: 1 0 can also be tested using the following procedure: Step 2: reject h0 if f1, n-2>f1, n-2, 1- . Example (continued): do not reject h0 since 7. 28<18. 51. Calculations for the above f-statistic are summarized in an anova table.

Related Questions

Problem 1 (2 points). Every month a clothing store conducts an inventory and calculates the losses due to theft. The store would like to reduce these losses and is considering two methods to do so: the first is to hire a security guard and the second is to install cameras. The manager of the store has conducted the experiment: During the first 6 months he hired a security guard (method 1) and during the next 6 months he installed cameras (method 2). The monthly losses were reported as follows:

Security guard 350 289 407 398 470 259 Cameras 488 301 276 380 421 425

a/ Test with a=0.05 to determine whether there is enough evidence to conclude that expected monthly loss when installing cameras differs from 382. b/Since the cameras are cheaper than the guard, the manager would prefer to install the cameras unless there was enough evidence to infer that the guard was better. Conduct a hypothesis testing to advise what the manager should do? (Assuming equal variances and using a= 0.05)

Problem 2 (2 points). A supermarket chain performed a survey to help determine desirable locations for its new stores. The management of the chain wanted to know whether a linear relationship exists between weekly take home pay (s) and weekly food expenditures (y). A random sample of eight households produced the data shown in the following table Household 1 3 7 8 2 4 5 6 550 450 560 340 510 710 470 660

170 100 160 80 120 190 140 140 Y

a/ Find the least square regression line.

b/Perform the test Ho: Bi=0, H4: B10 (using a = 0.05) to determine whether there is enough evidence to infer that a linear relationship exists between weekly take home pay (s) and weekly food expenditures (y).

champagnelocust794

STATS 2B03 Lecture Notes - Analysis Of Variance, Interval Estimation, Prediction Interval

Document Summary

Get access

Related textbook solutions

Introductory Statistics

Related Documents

STATS 2B03 Chapter Notes - Chapter 10: Null Hypothesis, Analysis Of Variance

STATS 2B03 Lecture Notes - Minitab, Analysis Of Variance, Tachykinin Receptor 1

STATS 2B03 Lecture 30: 9.4.2

Related Questions