Lesson 5 - Inference using Computer Printouts

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Inference with Computer

Printouts

Leaning Tower of Pisa

Find a 90% confidence interval.

Year 75 77 78 80 81 82 83 84 85 87

Lean 642 656 667 688 696 698 713 717 725 757

Leaning Tower - Excell

Coefficie nts

Standard

Error t Stat P-value

Lower

95%

Upper

95%

Intercept -42.4091

32.95436

-1.2869

0.234113

-118.402

33.5838

Year 9.092476

0.40545

22.42566

1.65E-08 8.157508

10.02745

Regression Statistics

Multiple R 0.99214

0.984342

R Square

Adjusted R

Square

Standard Error

Observations

0.982384

4.579967

10

Leaning Tower - Minitab

Predictor Coef SE Coef T P

Constant -42.41 32.95 -1.29 0.234

Year 9.0925 0.4054 22.43 0.000

S = 4.57997 R-Sq = 98.4% R-Sq(adj) = 98.2%

The following data is based on x (height in inches) and y (weight in lb) based on a sample of 10. Find a 90% confidence interval to estimate the slope.

Predictor Coef SE Coef T P

Constant -104.46 43.75 -2.39 0.044

Height 3.9527 0.6580 6.01 0.000

S = 7.16009 R-Sq = 81.9% R-Sq(adj) = 79.6%

The following data is based on x (height) and y (weight).

Is there a relationship?

Predictor Coef SE Coef T P

Constant -104.46 43.75 -2.39 0.044

Height 3.9527 0.6580 6.01 0.000

S = 7.16009 R-Sq = 81.9% R-Sq(adj) = 79.6%

The following is the regression analysis of y = maximum benchpress (MAX) and x = # of 60-pound Bench Presses (BP). Find a 95% CI. Use n = 10

Predictor

Constant

BP

R-Sq = 64.3%

Coef

63.537

1.4911

SE Coef

1.956

0.15

T

32.48

9.96

P

0.000

0.000

The following is the regression analysis of y = maximum benchpress (MAX) and x = # of 60-pound Bench Presses (BP). Are they related? Use n = 10

Predictor

Constant

BP

R-Sq = 64.3%

Coef

63.537

1.4911

SE Coef

1.956

0.15

T

32.48

9.96

P

0.000

0.000

The following shows they car weight (in lb) and the mileage (mpg) of 25 different models.

Predictor

Constant

BP

R-Sq = 64.3%

Coef SE Coef T

45.656

2.603

17.54

-0.0052

0.00062

-8.33

1. Give the prediction equation.

P

0.000

0.000

2. State & interpret the slope & y-int

The following shows they car weight (in lb) and the mileage (mpg) of 25 different models.

Predictor

Constant

BP

R-Sq = 64.3%

Coef SE Coef T

45.656

2.603

17.54

-0.0052

0.00062

-8.33

1. What is the correlation coefficient?

P

0.000

0.000

2. Estimate

Homework

Worksheet

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