For the data and sample regression equation shown below, do the following. a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. 24 3 10 4 1 3-3 y=-1.5 +1.1x, x₁ = 10, Σx;² = 30, b₁ = 1.1, and so = 3.3690 x y a. What are the hypotheses for the test? O A. Ho: B₁ = 0 and H₂: B₁ #0 O B. Ho: B₁ = 0 and H₂: B₁ >0 O C. Ho: B₁ #0 and H₂: B₁ = 0 O D. Ho: B₁ = 0 and H₂: B₁ <0 What is the test statistic? t= (Round to two decimal places as needed.) Find the P-value. P-value = (Round to three decimal places as needed.)

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For the data and sample regression equation shown below, do the following.
a. Decide, at the 10% significance level, whether the data provide sufficient evidence to
conclude that x is useful for predicting y.
b. Find a 90% confidence interval for the slope of the population regression line.
4 3 10
1
3 -3
2
y=-1.5 +1.1x, x₁ = 10, Σx₁²=30, b₁ = 1.1, and se = 3.3690
X
y
2
4
a. What are the hypotheses for the test?
O A. Ho: B₁ = 0 and H₂: B₁ #0
OB. Ho: B₁0 and H₂: B₁ >0
O C.
Ho: B₁ #0 and H₂: B₁ = 0
O D. Ho: P₁ = 0 and H₂: B₁ <0
What is the test statistic?
(Round to two decimal places as needed.)
Find the P-value.
P-value= (Round to three decimal places as needed.)
Transcribed Image Text:For the data and sample regression equation shown below, do the following. a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. 4 3 10 1 3 -3 2 y=-1.5 +1.1x, x₁ = 10, Σx₁²=30, b₁ = 1.1, and se = 3.3690 X y 2 4 a. What are the hypotheses for the test? O A. Ho: B₁ = 0 and H₂: B₁ #0 OB. Ho: B₁0 and H₂: B₁ >0 O C. Ho: B₁ #0 and H₂: B₁ = 0 O D. Ho: P₁ = 0 and H₂: B₁ <0 What is the test statistic? (Round to two decimal places as needed.) Find the P-value. P-value= (Round to three decimal places as needed.)
Which of the following is the correct conclusion for the hypothesis test?
O A. Reject Ho; the data provide sufficient evidence to conclude that x is useful for
predicting y.
O B. Do not reject Ho; the data provide sufficient evidence to conclude that x is useful for
predicting y.
O C. Do not reject Ho; the data do not provide sufficient evidence to conclude that x is
useful for predicting y.
O D. Reject Ho; the data do not provide sufficient evidence to conclude that x is useful for
predicting y.
b. Find a 90% confidence interval for the slope of the population regression line.
The 90% confidence interval for B₁ is from to
(Round to three decimal places as needed.)
Transcribed Image Text:Which of the following is the correct conclusion for the hypothesis test? O A. Reject Ho; the data provide sufficient evidence to conclude that x is useful for predicting y. O B. Do not reject Ho; the data provide sufficient evidence to conclude that x is useful for predicting y. O C. Do not reject Ho; the data do not provide sufficient evidence to conclude that x is useful for predicting y. O D. Reject Ho; the data do not provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. The 90% confidence interval for B₁ is from to (Round to three decimal places as needed.)
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