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If β^1=1.0,xi=10,yi=20, and n=15\hat { \beta } _ { 1 } = - 1.0 , \sum x _ { i } = 10 , \sum y _ { i } = 20 , \text { and } n = 15

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If β^1=1.0,xi=10,yi=20, and n=15\hat { \beta } _ { 1 } = - 1.0 , \sum x _ { i } = 10 , \sum y _ { i } = 20 , \text { and } n = 15 then the least squares estimate of the intercept β0\beta _ { 0 } of the true regression line y=β0+β1x is β^0y = \beta _ { 0 } + \beta _ { 1 } x \text { is } \hat { \beta } _ { 0 } = __________.


Definitions:

Dilute HCl

A solution made by mixing hydrochloric acid with water, commonly used in chemical analysis and experiments to test for the presence of carbonate minerals.

Crystal Form

The external shape displayed by a crystal or a group of crystals that grew together, reflecting the symmetrical arrangement of the internal lattice.

Surface Tension

A physical property of liquids that causes them to behave as if their surface is covered with a stretched elastic membrane, due to intermolecular forces.

Hydrogen Atoms

The simplest type of atom, consisting of a single electron orbiting a single proton.

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