Question: Suppose you fit the first-order multiple-regression model y = 0 + 1x1 + 2x2 + to n = 25 data points and obtain the

Suppose you fit the first-order multiple-regression model

y = β0 + β1x1 + β2x2 + ε

to n = 25 data points and obtain the prediction equation

y = 6.4 + 3.1x1 + .92x2

The estimated standard deviations of the sampling distributions of β1 and β2 are 2.3 and .27, respectively.

a. Test H0: β1 = 0 against Ha: β1 > 0. Use α = .05.

b. Test H0: β2 = 0 against Ha: β2 ≠ 0. Use α = .05.

c. Find a 90% confidence interval for β1. Interpret the interval.

d. Find a 99% confidence interval for β2. Interpret the interval.

Step by Step Solution

★★★★★

3.37 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a We are given 31 23 and n 25 H 0 1 0 H a 1 0 The test statistic is The rejection region requires 05 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

456-M-S-L-R (1946).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Suppose you fit the regression model y = 0 + 1x1 + 2x2 + 3x1x2 + 4x21 + 5 x22 + to n = 30 data points and you wish to test H0: 3 = 4 = 5 = 0 a. State the alternative hypothesis Ha. b. Give the...

Q:

Suppose you fit the regression model E(y) = 0 + 1x1 + 2x2 + 3x22 + 4x1x2 + 5 x1 x22 to n = 35 data points and wish to test the null hypothesis H0: 4 = 5 = 0. a. State the alternative hypothesis. b....

Q:

Suppose you fit the regression model E(y) = 0 + 1x1 + 2x2 + 3x22 +4x1x2 +5x1x22 to n = 35 data points and wish to test the null hypothesis H0: 4 = 5 = 0. a. State the alternative hypothesis. b....

Q:

Suppose you fit the first-order multiple regression model y = 0 + 1x1 + 2x2 + 3x3 + to n = 25 data points and obtain the prediction equation = 6.4 + 3.1x1 + .92x2 The estimated standard deviations...

Q:

8 Suppose you fit the first-order multiple-regression model y = b0 + b1 x1 + b2 x2 + e to n = 25 data points and obtain the prediction equation yn = 6.4 + 3.1x1 + .92x2 The estimated standard...

Q:

Suppose you fit the first-order multiple-regression model y = b0 + b1 x1 + b2 x2 + e to n = 25 data points and obtain the prediction equation yn = 6.4 + 3.1x1 + .92x2 The estimated standard...

Q:

Page 1 of 14 **Excel is not acceptable for this **Part D: All work must be shown step by step in order to receive full credit Part A: Fill in the blank (1-26) 1) 2) 3) 4) 5) Given , H0: = 0, then Ha...

Q:

Suppose you fit the first-order model y = 0 + 1x1 + 2x2 + 3x3 + 4x4 + 5x5 + to n = 30 data points and obtain SSE = .33 R2 = .92 a. Do the values of SSE and R2 suggest that the model provides a good...

Q:

Suppose you fit the first-order model y = 0 + 1x1 + 2x2 + 3x3 + 4x4 + 5x5 + to n = 30 data points and obtain SSE = .33 R2 = .92 a. Do the values of SSE and R2 suggest that the model provides a good...

Q:

The owner of an apartment building in Minneapolis believed that her property tax bill was too high because of an overassessment of the property's value by the city tax assessor. The owner hired an...

Q:

Evaluate the integral using the Student t distribution. 1424 dx 1+x2

Q:

Which of the following is true? III. The 80/20 rule states that 80% of the instruction is executed and 20% of the instruction is generated. In von Neumann architecture, external bus is for data...

Q:

How is the net migration rate calculated?

Q:

Under which principle, resignation by a Marketing Manager is not recorded in the b of account? Ans. Money Measurement Principle. (MSE Chandigarh)

Q:

The time (in minutes) between telephone calls at an insurance claims office has the exponential probability distribution: f(x) = 0.50e-.50x for x 0 a. What is the mean time between telephone calls?...

Q:

Ten weeks of data on the Commodity Futures Index are 7.35, 7.40, 7.55, 7.56, 7.60, 7.52, 7.52, 7.70, 7.62, and 7.55. a. Compute the exponential smoothing values for = 0.2. b. Compute the exponential...

Q:

The Costello Music Company has been in business for five years. During that time, the sales of electric organs have grown from 12 units in the first year to 76 units in the most recent year. Fred...

Q:

The SBT Corporation is considering making a major investment in a new product that will cost $500,000 upfront to develop and launch. The sales department claims that this new product is needed to...

Q:

Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. x AF(x) 0.24- n=16 0.2- p=o.5 0.16- 7 0.12-...

Q:

Brandtly Industries invests a large sum of money in R&D; as a result, it retains and reinvests all of its earnings. In other words, Brandtly does not pay any dividends, and it has no plans to pay...