Solution Found!
In a study similar to the one in Exercise 3, the relative
Chapter 7, Problem 4E(choose chapter or problem)
In a study similar to the one in Exercise 3, the relative humidity and ozone levels were measured for 120 days in another city. The MINITAB output follows. Assume that assumptions 1 through 4 on page 544 hold.
The regression equation is
Ozone = 29.7 − 0.135 Humidity
Predictor Coef SE Coef T P
Constant 29.703 2.066 14.38 0.000
Humidity −0.13468 0.03798 −3.55 0.001
S = 6.26 R−Sq = 9.6% R−Sq(adj) = 8.9%
a. What is the slope of the least-squares line?
b. Find a 95% confidence interval for the slope.
c. Perform a test of the null hypothesis that the slope is greater than or equal to −0.1. What is the P-value?
Questions & Answers
QUESTION:
In a study similar to the one in Exercise 3, the relative humidity and ozone levels were measured for 120 days in another city. The MINITAB output follows. Assume that assumptions 1 through 4 on page 544 hold.
The regression equation is
Ozone = 29.7 − 0.135 Humidity
Predictor Coef SE Coef T P
Constant 29.703 2.066 14.38 0.000
Humidity −0.13468 0.03798 −3.55 0.001
S = 6.26 R−Sq = 9.6% R−Sq(adj) = 8.9%
a. What is the slope of the least-squares line?
b. Find a 95% confidence interval for the slope.
c. Perform a test of the null hypothesis that the slope is greater than or equal to −0.1. What is the P-value?
ANSWER:
Step 1 of 3
Given:
(a) The standard error of the slope is given in the row "Humidity" and in the column "SE Coef" of the given MINITAB output:
Thus the slope of the least-squares regression line is 