In order to predict with 90% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sampl

Question

In order to predict with 90% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 10 observations is taken. Which of the following t-table values listed below would be used?

a. 2.228
b. 2.306
c. 1.860
d. 1.812

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Allison 1 week 2021-11-25T15:28:44+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-25T15:29:58+00:00

    Answer:

    c. 1.860

    Step-by-step explanation:

    Hello!

    For a simple linear regression the formula to make a prediction interval is:

    ^Y±t_{n-2;1-\alpha /2} * \sqrt{Se^2{[1+\frac{1}{n}+\frac{(x_{n+1}-X[bar])^2}{sumX^2-\frac{(sumX)^2}{n} }  ]}

    The value of the t-value would be

    t_{n-2;1-\alpha /2}= t_{10-2;1-0.5}= t_{8;0.95}= 1.860

    I hope it helps!

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