A university would like to examine the relationship between a faculty member\'s

Question

A university would like to examine the relationship between a faculty member's performance rating (measured on a scale of 1-20) and his or her annual salary increase. The table to the right shows Rating Increase Rating Increase 16 $1900 16 $2600 18 $2000 16 $2000 these data for eight randomly selected faculty members. Construct a 90% confidence interval for the regression slope. 17 $2300 19 $2600 12 14 $1700 $1800 Construct a 90% confidence interval for the slope. LCL-Dand UCL (Round to three decimal places as needed.)

Explanation / Answer

x is rating

y is increase

In excel go to data > data analysis>regression

select y as increase

x as rating

confidence level 90%

clck on ok

you will get

90% confidence interval for slope

LCL=-16.792

UCL=222.675

SUMMARY OUTPUT Regression Statistics Multiple R 0.651536 R Square 0.4245 Adjusted R Square 0.328583 Standard Error 285.3232 Observations 8 ANOVA df SS MS F Significance F Regression 1 360294.1 360294.1 4.425711 0.080063 Residual 6 488455.9 81409.31 Total 7 848750 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 465.4412 789.3924 0.58962 0.576958 -1466.13 2397.015 rating 102.9412 48.93252 2.103737 0.080063 -16.7924 222.6747

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