In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient. Rainfall (in inches) X 8.3 6.6 11.2 103 16.6 8.1 4.8 13.4 13.8
Yield (bushels per acre). y 55.5 512 63.8 64 874 542 36.9 81 83.8

a. 0.900
b. 0.998
c. 0.899
d. 0.981

D. 0.981

Step-by-step explanation:

Given :

Rainfall (in inches) X

8.3

6.6

11.2

10.3

16.6

8.1

4.8

13.4

13.8

Yield (bushels per acre). y

55.5

512

63.8

64

87.4

54.2

36.9

81

83.8

Using the Pearson regression Coefficient calculator :

The Regression Coefficient (R) value obtained is 0.9808 = 0.981 wgi h sig ifues a strong positive relationship between inches of Rainfall and bushel yield.

goog may have it for you

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15