Question

In: Statistics and Probability

Consider the data. xi 2 6 9 13 20 yi 8 17 11 28 23 (a)What...

Consider the data.

xi

 2 6 9 13 20

yi

 8 17 11 28 23

(a)What is the value of the standard error of the estimate? (Round your answer to three decimal places.)

(b)Test for a significant relationship by using the t test. Use α = 0.05. State the null and alternative hypotheses.

(b.1)Find the value of the test statistic. (Round your answer to three decimal places.)

(b.2)Find the p-value. (Round your answer to four decimal places.)

(c)State your conclusion out of the option below.

Do not reject H0. We cannot conclude that the relationship between x and y is significant.

Reject H0.We cannot 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 conclude that the relationship between x and y is significant.

(d)Use the F test to test for a significant relationship. Use α = 0.05. State the null and alternative hypotheses.

(d.1)Find the value of the test statistic. (Round your answer to two decimal places.)

(d.2)Find the p-value. (Round your answer to three decimal places.)

(e) What is your conclusion out of the options below?

Reject H0. We conclude that the relationship between x and y is significant.

Do not reject H0. We cannot 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.

Solutions

Expert Solution

orchestra answered 1 year ago
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