Question

Considered a set of ordered pairs shown below. Assuming that the regression equation is y= 2.625 + 0.3858x and the SSE= 8.075, construct a 95% confidence interval for X=7. Is therea way for me to calculate this problem with excel or Ti-84?

UNOSTAT Summer 2018 Shin Homework: HW 9: Correlation and SLR Score: 0 of 1 pt 2014.4.22 Donny Rage ? | 7/20/18 6:37 PM Save 1 of 5 (1 complete) ? HW Score: 0%, 0 of 5 p E Question Help Consider the set of ordered pairs shown below. Assuming that the regression equation is y-2 625 + 0 358x and the SSE, 8075, construct a 95% confidence interval for 4 54 5 y [5 Click the icon to view a portion of the student's t-distribution table Calculate the upper and lower limits of the confidence interval UCL = LCL (Round to three decimal places as needed) nter your answer in the edit fields and then click Check Answer. Check Answer Clear All Il parts showing Type here to search End 9euo 99d Home PrtScn

Answer 1

Y'=2.625+0.358*X

SSE= 8.075

Standard error: $S= \sqrt{\frac{SSE}{n-2}}= \sqrt{\frac{8.075}{3}}=1.64063$

$SS_x= \sum (X_i-\bar{X})^2=21.2$

T critical: $t_{\alpha /2,n-2}=t_{0.05/2,3}=3.182446$

95% Confidence interval for X0=7:

Y'=2.625+0.358*7 =5.131

$CI: Y'\pm t*S\sqrt{\frac{1}{n}+\frac{(X_0-\bar{X})^2}{SS_x}}$

$CI: 5.131\pm 3.182446*1.64063\sqrt{\frac{1}{5}+\frac{(7-4.4)^2}{21.2}}$

$CI: 5.131\pm 3.76097$

$CI: 5.131\pm 3.76097=>(1.3700,8.89197)$