Need help with question 2, providing a statistical description of whether or not

Question

Need help with question 2, providing a statistical description of whether or not a relationship exists between profit and number of defective items based on the meaning of the correlation coefficient.

244 9.00 T20 Chart 14 5954.00 15 1O78 DO 16 563.00 17 619.00 625 00 1.00 G74 00 123 18 71 70 5T 251-2115 547 00 78 00 s609 on S228.00 871 00 26 S188.00 21S632 00 639 500 286 842 295442 00 0 S 1.114 00 ep 1 Deternirie the Co"olation Cno Mick nt R), using tho rCORRFI f""'" Einm with '' ''' highligh ed cell below. 1 S86.00 RELATION COEFFICIENT (R,- LOST 9T71 8% cscss 32 S 825.00 111-rer method. To do this, take the square root Step 2. Next, determine the Carrelation Coetficiont for Profh and Defective isemis using d set SII ol the H' value from the scaterplot you creatad In Task 1 Step 3. lace your result in the highlighted cell below Step 4. Determinc it this value should be CORRELATION COEFFIC ENT R-09 , 34 561500 35 S 445 0 36 S282 00 674 o(*) Dr neg livr, (.]hasnd u" 'i direction of the scarterp lot's trend ina rrorn I ask 1 R scuar mcm chart:0 9552 37S409.00 645 00 232.00 IT SHOIID BE NEGATIVE Question 1: Determine whether a reletionship between Profit and Number of dofective iems exlsts, and support your response using the 40 999 00 ou croatod in Task 41 we an "v orso relationship whin 'he N·mber of defective items goes up-the prolit goes down and it gues up. For example, when the Number of delective iterns is clese to u, the Profit is d Nu tive i 52 00 when the Number ol delective items goes down, Profi 43 5 nd 1.200.00. When the Number of deleeive items is around 100. the Prufit is hedween $2 200.00 44 93100 45 S 289,00 description of whethes not n relationship exists between Prolit and 46 77100 Question 2: Using the inlormation froan Task 2, provide a etatibistical 806 0n 48 5 92100 150,00 113.00 561 S 1,084.00 ntroducbunTemplate Scatterplots

Explanation / Answer

The coefficient of correlation is -0.9773
The absolute value of coefficient of correlation is near to 1, so the relationship exists between profit and number of defective items.
The sign of coefficient of correlation is negative, so there is negative relationship between profit and number of defective items.
The negative relationship between profit and number of defective items suggests that as the number of defective items increases, the profit decreases and vice-versa as the number of defective items decreases, the profit increases.

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