f. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, and construct a 95% confidence interval for this estimate. g. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95% prediction interval. h. Plot Residuals vs Fitted Value graph and comment on the regression model.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Could you solve the subparts f, g and h?

The following data represents a report about the x: carbon amount (in mg per 1g
steel) and y: the ultimate tensile strength of steel (in MPa):
150 | 150 | 200 | 200
210 190 | 320 | 280 | 400 | 430 | 440 390 | 600 | 610
100
125
125
250 | 250 | 300 300 | 350 | 402
406
y
155
142 180
670
f. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, and
construct a 95% confidence interval for this estimate.
g. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95%
prediction interval.
h. Plot Residuals vs Fitted Value graph and comment on the regression model.
Transcribed Image Text:The following data represents a report about the x: carbon amount (in mg per 1g steel) and y: the ultimate tensile strength of steel (in MPa): 150 | 150 | 200 | 200 210 190 | 320 | 280 | 400 | 430 | 440 390 | 600 | 610 100 125 125 250 | 250 | 300 300 | 350 | 402 406 y 155 142 180 670 f. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, and construct a 95% confidence interval for this estimate. g. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95% prediction interval. h. Plot Residuals vs Fitted Value graph and comment on the regression model.
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