Question

Based on the data shown below, calculate the regression line
(each value to two decimal places)

y^ = ? x + ?

¯x=6x¯=6 | ¯y=11.065714285714y¯=11.065714285714 |

sx=2.1602468994693sx=2.1602468994693 | sy=2.5123618180433sy=2.5123618180433 |

r=0.89485510916522r=0.89485510916522 |

how do I solve for x? I know Y =1.0406 but can you show me steps on how to approach x?

Answer #1

Solution :

where y¯=11.065714285714,

x¯=6

Sx=2.1602468994693

Sy=2.5123618180433

r=0.89485510916522

hence

11.065714285714 -1.040714286 *6

hence the regression line is

now

Y =1.0406 hence the value of x is

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