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Math Help - Problem desired least square lines

  1. #1
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    Problem desired least square lines

    The failure rate of a certain electronic device is suspected to increase linearly with its temparature . Fit a least- square linear line through the data (two measurments were taken for each given temparature)

    <br />
\begin{array}{|c|c|c|c|c|c|c|}<br />
Temp^{\cdot} F & 55 & 65 & 70 & 85 & 95 & 105 \\<br />
Failure \; rate. 10^6 & 1.90 & 1.93 & 1.97 & 2.00 & 2.01 & 2.01 \\ <br />
 &1.94 & 1.95 & 1.97 & 2.02 & 2.02 & 2.04<br />
\end{array}<br />

    i) Obtain desired least-square line
    ii) Obtain predicted failure rate at 70^{\cdot} F
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  2. #2
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    Quote Originally Posted by Stats View Post
    The failure rate of a certain electronic device is suspected to increase linearly with its temparature . Fit a least- square linear line through the data (two measurments were taken for each given temparature)

    <br />
\begin{array}{|c|c|c|c|c|c|c|}<br />
Temp^{\cdot} F & 55 & 65 & 70 & 85 & 95 & 105 \\<br />
Failure \; rate. 10^6 & 1.90 & 1.93 & 1.97 & 2.00 & 2.01 & 2.01 \\ <br />
&1.94 & 1.95 & 1.97 & 2.02 & 2.02 & 2.04<br />
\end{array}<br />

    i) Obtain desired least-square line
    ii) Obtain predicted failure rate at 70^{\cdot} F
    Can you use technology or must it be done by hand? If by hand, please post the all formulae you have been given for doing this.
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  3. #3
    MHF Contributor matheagle's Avatar
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    I have to guess that your model is y=\beta_0+\beta_1x+\epsilon.
    I have JMP here.
    It's real easy using that.
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