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12.4E: Equation Regression (Zoezi)

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    181069

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    Tumia maelezo yafuatayo ili kujibu mazoezi tano ijayo. sampuli random ya wanariadha kumi kitaalamu zinazozalishwa data zifuatazo ambapo\(x\) ni idadi ya mapendekezo mchezaji ana na\(y\) ni kiasi cha fedha alifanya (katika mamilioni ya dola).

    \(x\) \(y\) \(x\) \(y\)
    \ (x\) "> 0 \ (y\) "> 2 \ (x\) "> 5 \ (y\) ">12
    \ (x\) ">3 \ (y\) ">8 \ (x\) ">4 \ (y\) ">9
    \ (x\) "> 2 \ (y\) ">7 \ (x\) ">3 \ (y\) ">9
    \ (x\) ">1 \ (y\) ">3 \ (x\) "> 0 \ (y\) ">3
    \ (x\) "> 5 \ (y\) ">13 \ (x\) ">4 \ (y\) ">10

    Zoezi 12.4.2

    Chora kuwatawanya njama ya data.

    Zoezi 12.4.3

    Matumizi regression kupata equation kwa mstari wa fit bora.

    Jibu

    \(\hat{y} = 2.23 + 1.99x\)

    Zoezi 12.4.4

    Chora mstari wa kufaa bora kwenye njama ya kuwatawanya.

    Zoezi 12.4.5

    Je, ni mteremko wa mstari wa kufaa bora? Inawakilisha nini?

    Jibu

    Mteremko ni 1.99 (\(b = 1.99\)). Ina maana kwamba kwa kila mpango wa kupitishwa mchezaji wa kitaaluma anapata, anapata wastani wa mwingine $1.99 milioni kulipa kila mwaka.

    Zoezi 12.4.6

    Ni nini\(y\) -intercept ya mstari wa fit bora? Inawakilisha nini?

    Zoezi 12.4.7

    \(r\)Thamani ya sifuri ina maana gani?

    Jibu

    Ina maana kwamba hakuna uwiano kati ya seti data.

    Zoezi 12.4.8

    Wakati\(n = 2\) na\(r = 1\), ni data muhimu? Eleza.

    Zoezi 12.4.9

    Wakati\(n = 100\) na\(r = -0.89\), kuna uwiano mkubwa? Eleza.