Question

prior to run a regression a least squares line for variables x and y indicates the slope is 4 units at this point we can conclude

variable x causes variable y to change

there is a positive relaationship between variables x and y

there may be a relationship between variables x and y

there is no relationship between variables x and y

x-n(100.3. P9x> 96) =

90.9 %

9.1%

80.2%

19.8%

Answer 1

1)

for variables, x and y indicate the slope is 4 units at this point we can conclude.

The slope is 4 so we can say that the correlation will be positive.

As a sign of the slope and correlation coefficient be the same.

So we can say the positive relationship between x and y

Answer:- there is a positive relationship between variables x and y

2)

x-N(100, 3)

P(x> 96) =?

Z = X - u / sigma

= 96 - 100 / 3

= -3 /4

= -1.33

P(X> 96 ) = P(Z > -1.33) .........from std normal table.

P(Z > -1.33) = P( Z < 1.33)

= 0.909

0.909 = 90.9 %

Answer:- 90.9%