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Consider the simple linear regression model: HARD1 = β0 + β1*SCORE + є, where є ~...

Consider the simple linear regression model: HARD1 = β0 + β1*SCORE + є, where є ~ N(0, σ).

Note: HARD1 is the Rockwell hardness of 1% copper alloys and SCORE is the abrasion loss score.

Assume all regression model assumptions hold. The following incomplete output was obtained from Excel. Consider also that the mean of x is 81.467 and SXX is 81.733.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square 0.450969
Standard Error
Observations 15
ANOVA
df SS MS F P-value
Regression 75.203 15.975 1.5E-03
Residual
Total
Coefficients Std Error t Stat P-value
Intercept 166.656 19.559 8.521
SCORE 0.959


What is a 90% confidence interval for the population slope?

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