Answer 20,21,22,23,24,25, and 26 Use the following information to answer the nex

Question

Answer 20,21,22,23,24,25, and 26

Use the following information to answer the next 7 questions. study is being made of the relationship between seniority, i.e., years of service with the company, and the number of workdays absent per year. The following table shows the relevant data for seven randomly selected employees. Years Employed ( Days Absent Last Year ( 4 SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.52961994 0.28049728 0.190559441 2.723944161 10 ANOVA df MS Significance F Regression Residual Total 23.14103 23.14103 3.11879 0.115385659 59.35897 7.419872 82.5 Standard Error Coefficients t Stat P-value Lower 95% Upper 95% Intercept Years 7.788461538 -0.608974359 2.05167 3.796157 0.005265 3.057301726 12.51962135 0.344831 xxXxXxxx 0.115386 xxxxxxxxxxxx 0.186206628 20. What is the correlation between these two variables? A. 854 65 428 .53 E. .733 C.

Explanation / Answer

20. Correlation coefficient = Sqrt (0.28049728) = 0.52962 = 0.53

Correct answer: Option (D)

21. Slope = -0.60897

Correct answer: Option (B)

22. R-Squared = 0.28049728

Correct answer: Option (D)

23. Correct answer: Option (B) 2.306

In Excel, The critical values can be obtained by

=TINV(0.05,8)

24. Test Statistic t = -0.608974359/0.344831 = -1.766

Here |t| value is less than t critical value, so we accept H0

or P-value = 0.115386 > alpha 0.05, so we accept H0

So Correct answer: Option (E)

Acutually, we conclude that the slope of the regression line is zero

25. So Correct answer: Option (E)

26 Regressio equation is Y = 6 - 0.4 X

First Observation X = 7

Then Y-cap = 6 -0.4(7) = 3.2

Absolute Residual = |2 - 3.2| = 1.2

So

So Correct answer: Option (D) 1.2

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