a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. o. Find a 90% confidence interval for the slope of the population regression line.
a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. o. Find a 90% confidence interval for the slope of the population regression line.
Chapter4: Linear Functions
Section: Chapter Questions
Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
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Transcribed Image Text:For the data and sample regression equation shown below, do the following.
a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y.
b. Find a 90% confidence interval for the slope of the population regression line.
1
4
y = 6.5 – 1.7x
Ex = 10, Ex;? = 30, b, = - 1.7, and
Se
= 3.4857
y
7
3
- 1
Click here to view the critical t-values page 1. Click here to view the critical t-values page 2.
.....
a. What are the hypotheses for the test?
O A. Ho: B1 =0 and Ha: B1 #0
О В. Но: В1 #0 and Ha: B1 %3D0
O C. Ho: B1 = 0 and Ha: B1 <0
D. Ho: B1 30 аnd Ha: Bi > 0
What is the test statistic?
t =
(Round to two decimal places as needed.)
Find the P-value. Choose the correct range of values below.
A. P>0.10
В. Р<0.01
C. 0.01 <P< 0.05
D. 0.05 <P< 0.10
Which of the following is the correct conclusion for the hypothesis test?
A. Reject Ho; the data provide sufficient evidence to conclude that x is useful for predicting y.
B. Do not reject Ho; the data provide sufficient evidence to conclude that x is useful for predicting y.
C. Do not reject Ho; the data do not provide sufficient evidence to conclude that x is useful for predicting y.
D. Reject Ho; the data do not provide sufficient evidence to conclude that x is useful for predicting y.
b. Find a 90% confidence interval for the slope of the population regression line.
The 90% confidence interval for B, is from to
(Round to three decimal places as needed.)
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