A Study Reports the Results of a Regression Analysis Based $\degree$

question 37

Essay

A study reports the results of a regression analysis based on n = 15 observations in which x = filter application temperature ( $\degree$
C) and y = % efficiency of BOD removal. Calculated quantities include $\sum x _ { 1 } = 402 , \sum x _ { l } ^ { 2 } = 11,098 , s = 3.725 , \text { and } \hat { \beta } _ { 1 } = 1.7035$
a. Test at level .01 $H _ { 0 } : \beta _ { 1 } = 1$
which states that the expected increase in % BOD removal is 1 when filter application temperature increases by 1 $\degree$
C, against the alternative $H _ { \pm } : \beta _ { 1 } > 1$
b. Compute a 99% CI for $\beta _ { 1 } ,$
the expected increase in % BOD removal for a 1 $\degree$

C increase in filter application temperature.

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Definitions:

Regulators

Authorities or agencies responsible for supervising and enforcing laws and standards within specific industries or areas to protect the public interest.

Equality of Wage Rates

A situation where individuals in similar roles and positions are paid the same wage regardless of differences such as gender, ethnicity, or age.

Involuntary Methods

Techniques or processes that are not chosen or controlled by individuals, often imposed by external circumstances or authorities.

GDP

Gross Domestic Product represents the overall market or monetary value of all finalized goods and services created inside a country during a particular timeframe.