# 10.1 - (10.1 Inference for simple linear regression Simple...

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Inference for regression Simple linear regression (10.1)

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Inference for simple linear regression Simple linear regression model Assumptions Confidence intervals for regression parameters Significance test for the slope Inference for prediction
Simple linear regression model x 1 , x 2 , … , x n : some fixed values of the independent variable (not necessarily all distinct) y 1 , y 2 , … , y n : corresponding observations on the response variable y i = β 0 + 1 x i + ε i

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Simple linear regression model
Assumptions The observations are independent. The relationship is linear. The standard deviation of y, σ , is the same for all values of x . The response y varies normally around its mean.

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the average speed a car is driven and its fuel efficiency? We plot fuel efficiency (in miles per gallon, MPG) against average speed (in miles per hour, MPH) for a random sample of 60 cars. The relationship is curved.
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10.1 - (10.1 Inference for simple linear regression Simple...

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