# (35) Suppose you are doing a study on household milk consumption, and using a sample of n = 33 households you obtained a regression line of: y =…

1. (35) Suppose you are doing a study on household milk consumption, and using a sample of n = 33 households you obtained a regression line of:

yˆ = .012 (.005) + .088×1 (.079) + 1.76×2 (.792) + −1.62×3 (.56)

where the numbers in parentheses represent the standard error of the coefficient estimates. Furthermore, each variable is:

y = Milk consumption in quarts per week

x1 = weekly income, in hundreds of dollars

x2 = family size

x3 = a dummy variable that equals 1 if one of the members of the family is lactose intolerant, and 0 otherwise

(a) (7) What would you predict would be the household milk consumption for a family with 4 members, a weekly income of \$1, 500, and with a lactose-intolerant family member?

(b) (7) Test the null hypothesis β1 = 0 against the two-sided alternative at the α = .05 significance level using the t distribution. Page 2

(c) (7) Test the null hypothesis β2 = 0 against the two-sided alternative at the α = .05 significance level using the t distribution

(d) (7) Construct a 95% confidence interval for β3.

(e) (7) The 99% confidence interval for β1 is (−.1297, .3057).

The 99% confidence interval for β2 is (−.423, 3.94).

The 99% confidence interval for β3 is (−3.16, −.0767)

Without doing the hypothesis test, answer the following: for which of these βi would you reject the null H0 : βi = 0 against the two-sided alternative at the α = .01 significance level?

3.(16) You are conducting a study and obtained the following regression equation:

yˆ = 75 + 470.2×1 − 12032.11×2 + .11111×3

n = 17

SST = 1, 000

SSE = 375

Test the null hypothesis βi = 0 for i = 1, 2, 3 against the alternative that at least one βi 6= 0 at the α = .01 significance level.

Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)
##### Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.