Question
Eagle Semiconductor Inc. is studying the failure times of itsmicrochips (in hours) at different solder temperatures (degrees Celsius). The data for one experiment are given
Eagle Semiconductor Inc. is studying the failure times of itsmicrochips (in hours) at different solder temperatures (degrees Celsius). The data for one experiment are given below. Eagle is trying to predict the time to failure based on solder temperature.
y TimetoFailure(hours) | x Temperature(degreesCelsius) |
9700 | 120 |
8300 | 125 |
5500 | 129 |
5300 | 131 |
5100 | 132 |
4700 | 133 |
4300 | 135 |
3550 | 144 |
3650 | 143 |
3400 | 142 |
1250 | 148 |
1150 | 149 |
510 | 147 |
650 | 152 |
1300 | 154 |
1250 | 156 |
850 | 159 |
670 | 158 |
550 | 156 |
220 | 163 |
Eaglehashypothesizedthefollowingmodely=b0+b1x+ebetweentimetofailure and temperature.
a
Using Excel or SPSS,constructa scatterplotfor thedata. Attach your scatterplot. Is there evidence of a linear trend?
b.
Using ExcelorSPSS,estimate theunknownparametersb0andb1andreport theleast squares prediction equation below. Attach your output from Excel or SPSS.
c.
Graphtheprediction equationyoudevelopedinpart b(attachyour graphfrom Excel or SPSS) and assess how the model fits the data visually.
d.
Investigate the usefulness of the model you developed in part b. Is time to failure linearly related to temperature? Test using a= .01.
e.
Interpretthevalueofr2.
f.
Use the model developed in part b to generate a point estimate of the mean time to failure when the temperature is 142 degrees Celsius.
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