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| 11 of 11 (4 complete) Consider the following set of ordered pairs. 61 6 4 5 6

ID: 3319540 • Letter: #

Question

| 11 of 11 (4 complete) Consider the following set of ordered pairs. 61 6 4 5 6 Assuming that the regression equation is y 3.992+0.225x and that the SSE - 17.3083, test to determine if the slope is not equal to zero using a-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. nnt raiect H. There is insufficiant evidenca tn cnnclide that the renrassinn sinpe is not amual to zern Click to select your answer(s). Type here to search

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 3.9916667 + 0.225 x
Sample size: 6
R (correlation coefficient) = 0.32363773
R-sq = 0.10474138
Estimate of error standard deviation: 2.0801643

Parameter estimates:


Analysis of variance table for regression model:

Hence,

Hypotheses: Option D is correct.

t = 0.68

P - value = 0.532

Conclusion: Option A is correct.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 3.9916667 1.301835 0 4 3.0661848 0.0374 Slope 0.225 0.32890285 0 4 0.68409259 0.5315