You may need to use the appropriatetechnologyto answer this question.

Consider the data.

x_i 2 6 9 13 20

y_i 9 20 11 28 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 thettest. Use= 0.05.

State the null and alternative hypotheses.

• H₀:₀0
• H_a:₀= 0
• H₀:₀= 0
• H_a:₀0
• H₀:₁= 0
• H_a:₁0
• H₀:₁0
• H_a:₁= 0
• H₀:₁0
• H_a:₁< 0

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

Find thep-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

• Do not rejectH₀. We cannot conclude that the relationship betweenxandyis significant.
• RejectH₀. We conclude that the relationship betweenxandyis significant.
• Do not rejectH₀. We conclude that the relationship betweenxandyis significant.
• RejectH₀. We cannot conclude that the relationship betweenxandyis significant.

(c)

Use theFtest to test for a significant relationship. Use= 0.05.

State the null and alternative hypotheses.

• H₀:₁0
• H_a:₁= 0
• H₀:₀= 0
• H_a:₀0
• H₀:₁= 0
• H_a:₁0
• H₀:₁0
• H_a:₁< 0
• H₀:₀0
• H_a:₀= 0

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

Find thep-value. (Round your answer to three decimal places.)

p-value =

What is your conclusion?

• RejectH₀. We conclude that the relationship betweenxandyis significant.
• Do not rejectH₀. We conclude that the relationship betweenxandyis significant.
• RejectH₀. We cannot conclude that the relationship betweenxandyis significant.
• Do not rejectH₀. We cannot conclude that the relationship betweenxandyis significant.