Question

# Consider the data. xi 2 6 9 13 20 yi 7 18 10 26 25 (a)...

Consider the data.

 xi yi 2 6 9 13 20 7 18 10 26 25

(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.

H0: β0 = 0
Ha: β0 ≠ 0H0: β1 ≥ 0
Ha: β1 < 0    H0: β1 ≠ 0
Ha: β1 = 0H0: β0 ≠ 0
Ha: β0 = 0H0: β1 = 0
Ha: β1 ≠ 0

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

p-value =

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.     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.

(c)

Use the F test to test for a significant relationship. Use α = 0.05.

State the null and alternative hypotheses.

H0: β1 ≥ 0
Ha: β1 < 0H0: β1 ≠ 0
Ha: β1 = 0    H0: β0 ≠ 0
Ha: β0 = 0H0: β0 = 0
Ha: β0 ≠ 0H0: β1 = 0
Ha: β1 ≠ 0

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

p-value =

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.    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.

For the given data using Regression in Excel we get output as

So from the above output