Is there significant evidence, at (alpha) α = 0.05, of a linear relationship between the size (height) of a miniature horse (x, in mm) and the price it sells for (y, in $). ? What is your conclusion?

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Miniature horses are a special breed of very very small horse.   A minuature horse breeder is interested in the relationship between the size (height) of a miniature horse (x, in mm) and the price it sells for (y, in $). She decides to fit the simple linear regression model:

E(y) = β0 + β1x

A regression analysis using the heights and sale prices of 60 miniature horses gave the following results:

Estimated slope coefficient (estimate for β1) = -7.0
Standard error for the slope coefficient = 4.0
Test statistic for the slope coefficient t = 1.750, to 3 decimal places, n-2 = 58 df
P-value for the slope coefficient = 0.08541 (to 5 decimal places).

Is there significant evidence, at (alpha) α = 0.05, of a linear relationship between the size (height) of a miniature horse (x, in mm) and the price it sells for (y, in $). ? What is your conclusion? 

a. yes

b. no

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