The personnel department of a large manufacturing firm selected a random sample of 23 workers. The workers were interviewed and given several tests. On the basis of the test results, the following variables were investigated: X2 = manual dexterity score, X3 = mental aptitude score, and X4 = personnel assessment score. Subsequently, the workers were observed in order to determine the average number of units of work completed (Y) in a given time period for each worker. Regression analysis yielded these results: Y = -212 + 1.90X2 + 2.00X3 + 0.25X4, R2 = .75. (.050) (.060) (.20) What is the correct estimate for the number of units of work completed by a worker with a manual dexterity score of 100, a mental aptitude score of 80 and a personnel assessment score of 10?

140.5 units of work

Step-by-step explanation:

The number of units of work by a worker is given as:

Y = -212 + 1.90X2 + 2.00X3 + 0.25X4

X2 = manual dexterity score=100

X3 = mental aptitude score=80

X4 = personnel assessment=10

Substituting these value for X2,X3 and X4 we have :

Y = -212 + 1.90(100) + 2.00(80)+ 0.25(10)

Y =-212 + 190 +160 +2.5= 140.5 units of work

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

step-by-step explanation: hi!