Question

10. In simple linear regression, the null hypothesis is that coefficient of correlation is zero. (a) True (b) False ,12,13,14, and 15): The Mitte Urade-X requires s uces two grades of oils LINEAR PROGRAMMING PROBLEM (Questions 11,12,13,14, and 15): The Mittner Lubricating Oil Company produces two grades of oils called Grade-X, and Grade-Y. A gallon of Grade-X requires 3 pounds of raw material R1 and 7 pounds of raw material R2. A gallon of Grade-Y requires 8 pounds of raw material RI and 4 pounds of raw material R2. The company has 962 pounds of raw material RI and 822 pounds of raw material R2 in stock. A gallon Grade-X yields a profit of $29, and the profit from a gallon of Grade-Y is $35. The company objective is to maximize profit. If you are the production manager, how much of the Grace and Grade-Y would you produce so that the profit is maximized? (11) The objective function is: (a) Min 29X+35 Y (c) Min 29X = 35 Y (e) none of the above (b) Max 29X + 35 Y (d) Max 29X - 35 Y (12) Which of the following is a valid constraint? (a) 3X-8Y962 (6) 3X-8Y S962 (c) 3X + SY S 962 (d) 3X +8Y 2 962 (e) none of the above Page 2

Answer 1

Answer :

10 ) False .

Explanation: In regression Y=B0+B1X, we have the null hypothesis is that Slope is equal to zero

i.e H0: B1=0 , which coefficient of independent not correlation coefficient.

11) b) max 29X+35Y

12) c) 3X+8Y<=962

Explanation for 11 and 12 :

Go the D Here we have to maximize profit l objective function is of "max" type. .Here & Grade x Grade. N gives gives profit profit of $29 of $35 So, we have profit (total) = 29x +354 To maximize the obiective function coill be may zantasy | toption 6 | 12. Now, I I RI I R2 | Grade X 1 Grade y 3 pounds l 8 pounds 7 pounds I 4 pounds - stock L 962 I 822 - 80 there will be two constraint. ist. BX484 3962 and __ 7x + 4y < 822 - - 2nd. Is thereforeith in option @ 1st constraint is true. CamScanner