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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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