In a multiple linear regression based on eight observations, the following sample regression is obtained y 22 81 0 85x 1 0 71x 2 with s e 4 69 Also, when x 1 equals 50 and x 2 equals 20, s e (y 0 ) 2 18 a Construct the 95 confidence interval for E(y) if x 1 50 and x 2 20 b Construct the 95 prediction interval for y if x 1 50 and x 2 20 c Which interval is narrower Explain

Question: In a multiple linear regression based on eight observations, the following sample regression is obtained: y = 22.81 + 0.85x 1 - 0.71x 2 with

In a multiple linear regression based on eight observations, the following sample regression is obtained: ŷ = 22.81 + 0.85x₁ - 0.71x₂ with s_e = 4.69. Also, when x₁ equals 50 and x₂ equals 20, s_e(ŷ⁰) = 2.18.

a. Construct the 95% confidence interval for E(y) if x₁ = 50 and x₂ = 20.

b. Construct the 95% prediction interval for y if x₁ = 50 and x₂ = 20.

c. Which interval is narrower? Explain.

Step by Step Solution

★★★★★

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a With df n k 1 8 2 1 5 and 005we find t 2 df t 00255 2571 b c The confidenc... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Business Statistics Communicating Questions!

In a multiple linear regression model with two independent variables, how would you interpret the regression coefficients b 1 and b 2 ?

In a simple linear regression based on eight observations, the following sample regression is obtained: y = 9.15 + 1.46x with s e = 2.67. Also, when x equals 15, s e (y 0 ) = 1.06. a. Construct the...

In a simple linear regression based on 25 observations, it is found that SSE = 1,250 and SST = 1,500. a. Calculate s 2 e and s e . b. Calculate R 2 .

In a multiple linear regression based on eight observations, the following sample regression is obtained: y = 22.81 + 0.85x1 0.71x2 with se = 4.69. Also, when x1 equals 50 and x2 equals 20, s e( y )...

In a simple linear regression based on eight observations, the following sample regression is obtained: y = 9.15 + 1.46x with se = 2.67. Also, when x equals 15, se( y 0) = 1.06. a. Construct the 95%...

Need Urgent Help with Question 3 and Question 9 of the attached document - Question 3 needs only ~400 words (also attaching an article which might be needed to answer question-3) My word count for...

In a multiple linear regression with 40 observations, the following sample regression equation is obtained: y = 12.8 + 2.6x1 - 1.2x2 With se = 5.84. Also, when x1 equals 15 and x2 equals 6, se (y ) =...

In a multiple linear regression with 40 observations, the following sample regression equation is obtained: = 11.7 + 2.1x1 - 1.7x2 with se = 5.40. Also, when x1 equals 14 and x2 equals 6, se (1) =...

answer with explanation There is substantial cross-sectional variation in the number of financial analysts who follow a company. Now a research student ran the following regression model to study the...

Q9some type is wrong, can refer to the attach file. In a study of the relationship between an explanatory variable Z and a response variable Y , n independent observations are taken in the form of...

On October 1, 2019, Vin Company (Vietnam) purchases inventory from a foreign supplier (Japan) for 40,000 JPY. Payment will be made in 30 days. Required: Prepare all journal entries for Vin Company in...

Students in a business statistics class were asked what grade they expected in the course and whether they worked on additional problems beyond those assigned by the instructor. The following table...

CAPM and Valuation You are considering acquiring a firm that you believe can generate expected free cash flows of 1 0 0 0 0 a year forever However you recognize that those cash flows are uncertain LO...

encounter the difficulties that arise when trying to measure genuine saving

In the introductory case of Chapter 3 we discussed Vanguards Precious Metals and Mining fund (Metals) and Fidelitys Strategic Income fund (Income), which were two top-performing mutual funds for the...

A variety of packaging solutions exist for products that must be kept within a specific temperature range. A cold chain distribution is a temperature-controlled supply chain. An unbroken cold chain...

In 2010, Apple introduced the iPad, a tablet-style computer that its former CEO Steve Jobs called a" a truly magical and revolutionary product" (CNN, January 28, 2010). Suppose you are put in charge...

What does the highest point in the frequency polygon show? A- it shows where most of the participants are clustered B- it shows where the least of the participants are clustered C-it shows where the...

open this Microsoft Word document. Using your knowledge of effective writing and the tips on page 147 for evaluating the work of other writers, evaluate this message. After you set Microsoft Word to...

Assessed Exercises Sheet 1 Al.1. Use the substitution x = a sinh u to work out the integral (a? + 12)1/2 dec. [4] A1.2. (i) Show that the Laplace transform of f(x) = x is 2. (ii) Show by induction...