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Safarl File Edit View History Bookmarks Window Help Apple Bing Google Yahoo What is The B. y Beginners? Jobs Job posting If You Don't B..Story|Verily Smart Financi... Apply online Twitter Capricorn an. A and State QUESTION 18 A dean of a business school has fit a regression model to predict college GPA based on a student's SAT score (SAT Score), the percentile at which the student graduated high school (HS Percentile) (for instance, graduating 4th in a class of 500 implies that 496 other students are at or below that student so the percentile is 496/500 x100-99), and the total college hours the student has accumulated (Total_Hours). The regression results are shown below what would be the upper bound for the 95% confidence interval for ? 2, the coefficient on HS Percentile? Use four decimal places throughout the calculation. SUMMARY OUTPUT Statistics Multiple R R Square Adjusted R Square Standard Erro Observations 0.53292259 0.284006487 0 283486772 0.557515239 ANOVA sS MS Regression Residual Total 3 509.5632077 169 8544 546 4662 4.0431E-299 4133 1284 632456 0 310823 4136 1794.195664 rdET, tStar P-value Lower 95% Upper 95% Intercept SAT Score HS Percentile Total Hours 0.042678049 0 070175203 0.60816 0.543112 0.18025921 0.094903113 0.001491364 64867TE-05 22 99086 3.6E-110 0.001364189 000161854 0013087778 0.000548313 23 86919 4.5E-118 0.01201279 ??? 0.001926045 0.000246629 7.809486 7 23E-15 0 001442519 0.00240957 Click Save and Submit o save and submit, Click Save All Answers to save all ansuwers Save All Answers

Explanation / Answer

Let x be the value of upper bound of the 95% confidence interval for ?2

?2 should be midpoint between Upper and Lower bound of the 95% confidence interval. This means average of Upper and Lower bound of the 95% confidence interval should be equal to ?2

?2 = (Upper Bound + Lower Bound)/2

0.0131 = (x + 0.0120)/2

0.0262 = x + 0.0120

x = 0.0262 - 0.0120

x = 0.0142

Upper bound of the 95% confidence interval is 0.0142

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