9. Consider the following set of ordered pairs x7 1 5 2 3 0 Assuming that the re

Question

9. Consider the following set of ordered pairs x7 1 5 2 3 0 Assuming that the regression equation is y = 3.951 + 0.294x and that the SSE = 9.8922, test to determine if the slope is not equal to zero using = 0.10 State the hypotheses. Choose the correct answer below Calculate the test statistic (Round to two decimal places as needed.) Identify the p-value p-value = (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below ( A. Do not reject Ho . There is sufficient evidence to conclude that the regression slope is not equal to zero B. Do not reject Ho. There is insufficient evidence to conclude that the regression slope is not equal

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 3.9509804 + 0.29411765 x
Sample size: 6
R (correlation coefficient) = 0.47873018
R-sq = 0.22918258
Estimate of error standard deviation: 1.57259

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Hypotheses: Option A is correct.

t = 1.09

p - Value = 0.337

Conclusion: Option B is correct.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 3.9509804 1.0328607 0 4 3.825279 0.0187 Slope 0.29411765 0.26969695 0 4 1.0905486 0.3368

Related Questions

Navigate

• Browse (All)
• Browse 9
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.