Suppose you decide to examine the link between absenteeism and union-management relations using multiple regression analysis.The analysis uses firm-level data.

Y = Average # of days absent within a firm in a year

Bad_UM_Rel = a dummy variable indicating BAD union-management relations (omitted category = NEUTRAL relations)

Good_UM_Rel = a dummy variable indicating GOOD union-management relations (omitted category = NEUTRAL relations)

Pct_PT = the percentage of a firm's employees who are part time.

Pct_U = the percentage of a firm'semployees who are members of a labor union.

Questions:Answer parts (a), (b), (c), (d), (e), and (f).

(a)Type the value of the y-intercept and interpret its meaning in words.(3 points)

(b)Type the value of the R-square value and interpret its meaning in words.(3 points)

(c)Using the p-value method, perform hypothesis test for whether there is a statistically significant relationship betweenPct_PT (X3)andAbsences (Y).Show all steps to your hypothesis test and use a significance level of 5%.(4 points)

(d)Using the p-value method, perform hypothesis test for whether there is a statistically significant relationship betweenPct_UandAbsences (Y).Show all steps to your hypothesis test and use a significance level of 5%.(4 points)

(e)In words, interpret the meaning of theunstandardizedslope coefficient on Pct_PT.(4 points)

Model Summary (Rent) R R Square Adjusted R Square Std. Error of the Estimate .64 41 .41 273.09 ANOVA (Rent) Sum of Squares of Mean Square F Sig. Regression 25947092.50 5 5189418.50 69.58 000 Residual 36842922.05 494 74580.81 Total 62790014.55 499 Coefficients (Rent) Unstandardized Coefficients Standardized Coefficients B Std. Error Beta Sig. (Constant) 581.45 47.97 .00 12.12 .000 Family_Size -13.17 7.85 -.06 -1.68 .094 Income .00 .00 .17 3.58 .000 Southwest 356.63 39.19 .44 9.10 .000 Northwest 492.94 45.90 .60 10.74 .000 Northeast 238.11 35.56 .29 6.70 .000