You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y . (Round your answers to two decimal places.) x i 1 2 3...


You may need to use the appropriate appendix table or technology to answer this question.

Given are five observations for two variables,
x
and
y. (Round your answers to two decimal places.)





















xi

12345

yi

4841113


(a)


Use
sŷ*
= s

















1
n

+









(x* − x)2
Σ(xi
− x)2



to estimate the standard deviation of
ŷ*

when
x = 5.






(b)


Use
ŷ* ± t?/2sŷ*

to develop a 95% confidence interval for the expected value of
y
when
x = 5.


to




(c)


Use
spred
= s







1 +









1
n

+









(x* − x)2
Σ(xi
− x)2



to estimate the standard deviation of an individual value of
y
when
x = 5.






(d)


Use
ŷ* ± t?/2spred

to develop a 95% prediction interval for
y
when
x = 5.


to



You may need to use the appropriate appendix table or technology to answer this question.<br>Given are five observations for two variables, x and y. (Round your answers to two decimal places.)<br>1 2<br>3<br>4<br>4<br>8<br>4<br>11<br>13<br>(x* - x)2<br>E(x; - x)2<br>(a) Use<br>to estimate the standard deviation of ŷ* when x = 5.<br>1.48<br>(b) Use ý* + ts* to develop a 95% confidence interval for the expected value of y when x = 5.<br>8.19<br>X to 13.21<br>(x* - x)2<br>E(x; - x)2<br>(c) Use<br>Spred<br>1 +<br>to estimate the standard deviation of an individual value of y when x = 5.<br>3.18<br>(d) Use ý* ± t2Spred to develop a 95% prediction interval for y when x = 5.<br>8.19<br>X to 13.21<br>+<br>

Extracted text: You may need to use the appropriate appendix table or technology to answer this question. Given are five observations for two variables, x and y. (Round your answers to two decimal places.) 1 2 3 4 4 8 4 11 13 (x* - x)2 E(x; - x)2 (a) Use to estimate the standard deviation of ŷ* when x = 5. 1.48 (b) Use ý* + ts* to develop a 95% confidence interval for the expected value of y when x = 5. 8.19 X to 13.21 (x* - x)2 E(x; - x)2 (c) Use Spred 1 + to estimate the standard deviation of an individual value of y when x = 5. 3.18 (d) Use ý* ± t2Spred to develop a 95% prediction interval for y when x = 5. 8.19 X to 13.21 +

Jun 08, 2022
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