Question

2. Suppose that a random sample of 4 families had the following annual incomes and savings: Family Income X Saving S A 22 2 B 18 2 C 17 1.6 D 27 3.2 a. Estimate the population regression line S = a + b X b. Construct a 95% CI for the slope b, under d.f=2, t0.025=4.303. c. Which of the following hypothesis is rejected by the data at the 5% level? ?=0? ?=0.05? ?=0.1? ?=0.5?

          2. Suppose that a random sample of 4 families had the following annual incomes and savings:
Family Income X Saving S
A 22 2
B 18 2
C 17 1.6
D 27 3.2
a. Estimate the population regression line S = a + b X
b. Construct a 95% CI for the slope b, under d.f=2, t0.025=4.303.
c. Which of the following hypothesis is rejected by the data at the 5% level?
?=0? ?=0.05? ?=0.1? ?=0.5?

2. Suppose that a random sample of 4 families had the following annual incomes and savings:
Family Income X Saving S
A 22 2
B 18 2
C 17 1.6
D 27 3.2
a. Estimate the population regression line S = a + b X
b. Construct a 95% CI for the slope b, under d.f=2, t0.025=4.303.
c. Which of the following hypothesis is rejected by the data at the 5% level?
?=0? ?=0.05? ?=0.1? ?=0.5?

Added by Miguel -Ngel B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Chai Santi

11/18/2022

Step 1

This requires calculating the covariance of X and Y (income and savings) and the variance of X (income). Once we have the slope, we can construct a 95% confidence interval for it. This is done by taking the estimated slope and adding/subtracting the product of Show more…

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Suppose that a random sample of 4 families had the following annual incomes and savings: Estimate the population regression line S = a + b X. Construct a 95% CI for the slope b, under d.f=2, t0.025=4.303. Which of the following hypothesis is rejected by the data at the 5% level? β=0? β=0.05? β=0.1? β=0.5?