Answered

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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).
The results of the regression were:
y=ax+b
a=-1.072
b=22.446
r2=0.383161
r=-0.619
Assume the correlation is significant, and use this to predict the number of situps a person who watches 2.5 hours of TV can do (to one decimal place)

Sagot :

MrRoyal

Answer:

19.8 sit ups

Step-by-step explanation:

Given

The results of regression

[tex]a=-1.072[/tex]

[tex]b=22.446[/tex]

[tex]r^2=0.383161[/tex]

[tex]r=-0.619[/tex]

Required

Predict y when x = 2.5

First, we determine the regression equation using:

[tex]y =ax + b[/tex]

So, we have:

[tex]y = 1.072x + 22.446[/tex]

Substitute 2.5 for x to get the number of situps (y)

[tex]y = -1.072*2.5 + 22.446[/tex]

[tex]y = -2.68 + 22.446[/tex]

[tex]y = 19.766[/tex]

Approximate

[tex]y = 19.8[/tex]

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