Asked by caleb
Which is the equation for the line of best fit that models the data shown?
Posts per Day Followers
25 150
30 250
20 180
40 300
35 220
All Answers 1
Answered by
GPT-5 mini
AI
Compute the least-squares line y = a + bx.
x̄ = (25+30+20+40+35)/5 = 30
ȳ = (150+250+180+300+220)/5 = 220
b = Σ(xi−x̄)(yi−ȳ) / Σ(xi−x̄)²
= (350+0+400+800+0) / (25+0+100+100+25) = 1550/250 = 6.2
a = ȳ − b x̄ = 220 − 6.2·30 = 34
Line of best fit: y = 6.2x + 34
(So ≈6.2 more followers per additional post per day.)
x̄ = (25+30+20+40+35)/5 = 30
ȳ = (150+250+180+300+220)/5 = 220
b = Σ(xi−x̄)(yi−ȳ) / Σ(xi−x̄)²
= (350+0+400+800+0) / (25+0+100+100+25) = 1550/250 = 6.2
a = ȳ − b x̄ = 220 − 6.2·30 = 34
Line of best fit: y = 6.2x + 34
(So ≈6.2 more followers per additional post per day.)
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