You may need to use the appropriate technology to answer this question.
Assume you have noted the following prices for books and the number of pages that each book contains.
Book Pages (x) Price (y)
A 500 $7.10
B 700 7.40
C 750 9.10
D 590 6.60
E 560 7.60
F 650 7.10
G 475 4.90
(a)
Develop a least squares estimated regression line. (Round your numerical values to five decimal places.)
ŷ =
Incorrect: Your answer is incorrect.
(b)
Compute the coefficient of determination. (Round your answer to four decimal places.)
0.9752
Incorrect: Your answer is incorrect.
Explain its meaning. (Give your answer as a percent. Round your answer to two decimal places.)
The value of the coefficient of determination tells us that
97.52
Incorrect: Your answer is incorrect.
% of the variability in y
Correct: Your answer is correct.
has been explained by the least squares line.
(c)
Compute the correlation coefficient between the price and the number of pages. (Round your answer to four decimal places.)
0.9752
Incorrect: Your answer is incorrect.
Test to see if x and y are related using the t-test. Use = 0.10.
State the null and alternative hypotheses. (Enter != for ≠ as needed.)
H0: $
Correct: Your answer is correct.
webMathematica generated answer key
Ha: $
Correct: Your answer is correct.
webMathematica generated answer key
Find the value of the test statistic. (Round your answer to three decimal places.)
2.861
Incorrect: Your answer is incorrect.
Find the p-value. (Round your answer to four decimal places.)
p-value =
0.0354
Incorrect: Your answer is incorrect.
What is your conclusion?
Do not reject H0. We cannot conclude that the relationship between x and y is significant.
Reject H0. We conclude that the relationship between x and y is significant.
Do not reject H0. We conclude that the relationship between x and y is significant.
Reject H0. We cannot conclude that the relationship between x and y is significant.
Correct: Your answer is correct.