For this question, use the following multiple regression output $($which may differ from the output in other questions, even though the variables are the same$).$

SUMMARY OUTPUT

Regression Statistics

Multiple R $0\mathrm{.}645$

R Square $0\mathrm{.}416$

Adjusted R Square $0\mathrm{.}385$

Standard Error $4599\mathrm{.}979$

Observations $100$

ANOVA

df SS MS F Significance F

Regression $5141509833628301966713\mathrm{.}3757\mathrm{.}595$E$-10$

Residual $94198902184621159807$

Total $993404120182$

Coefficients Standard Error t Stat P$-$value Lower $95\%$ Upper $95\%$

Intercept $3176\mathrm{.}8462790\mathrm{.}0161\mathrm{.}1390\mathrm{.}2577-2362\mathrm{.}7968716\mathrm{.}489$

Annual Income $($$$1000)119\mathrm{.}66516\mathrm{.}1347\mathrm{.}4175\mathrm{.}240$E$-1187\mathrm{.}630151\mathrm{.}700$

Household Size $592\mathrm{.}620220\mathrm{.}5342\mathrm{.}6870\mathrm{.}0085154\mathrm{.}7441030\mathrm{.}496$

Education $-617\mathrm{.}648307\mathrm{.}172-2\mathrm{.}0110\mathrm{.}0472-1227\mathrm{.}546-7\mathrm{.}751$

TV Hours $-7\mathrm{.}57429\mathrm{.}487-0\mathrm{.}2570\mathrm{.}7978-66\mathrm{.}12150\mathrm{.}973$

Age $-22\mathrm{.}41842\mathrm{.}243-0\mathrm{.}5310\mathrm{.}5969-106\mathrm{.}29361\mathrm{.}456$

What is the $95\%$ confidence interval estimate of the change in annual charges for a unit increase in the years of post$-$high school education? Assume that all other independent variables remain constant.

Group of answer choices

Between $-$$$2362\mathrm{.}80$ and $$716\mathrm{.}49$

Between $-$$$678\mathrm{.}60$ and $-$$$556\mathrm{.}70.$

Between $-$$$1227\mathrm{.}55$ and $-$$$7\mathrm{.}75.$

$$3176\mathrm{.}85.$

$-$$$617\mathrm{.}65.$