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In: Statistics and Probability

) A study of the deflection (mm) of particleboard from stress levels of relative humidity. Assume...

) A study of the deflection (mm) of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linear regression model. The data follow:

Deflection (mm)

Stress Level (%)

16.473

54

18.693

54

14.305

61

15.121

61

13.505

68

11.640

68

11.168

75

12.534

75

11.224

75
  1. Calculate the least square estimates of the slope and intercept. What is the estimate of σ2? Graph the regression model and the data?
  2. Find the estimate of the mean deflection if the stress level can be limited to 64%?
  3. Estimate the change in the mean deflection associated with a 5% increment in stress level?
  4. To decrease the mean deflection by one millimeter, how much increase in stress level must be generated?
  5. Given that the stress level is 75%, find the fitted value of deflection and the corresponding maximum residual?
  6. Is the regression model in part (2.1) adequate? Explain your answer.

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Expert Solution

orchestra answered 2 years ago
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