Directly proportional means if x has a certain value, y should have the same value. but here in the graph, when x is 0, y has a value greater than 0. for x and y to be directly proportional, the line should go through 0.
0.09677419354 = 3 divided by 31
Answer:
Step-by-step explanation:
Hello!
You need to test the hypothesis that the slope of the regression is cero.
I've run in the statistic software the given data for Y and X and estimated the regression line:
Yi= 7.82 -1.60Xi
Where
a= 7.82
b=-1.60
Sb= 3.38
The hypothesis is:
H₀: β = 0
H₁: β ≠ 0
α: 0.05
This is a two-tailed test, the null hypothesis states that the slope of the regression is cero, this means that if the null hypothesis is true, there is no linear regression between Y and X.
The statistic for this test is a Student-t
t= <u> b - β </u> ~t
Sb
The critical values are:
Left: 
Right: 
t= <u>-1.60 - 0 </u>= -0.47
3.38
the p-value is also two-tailed, you can calculate it by hand:
P(t ≤ -0.47) + (1 - P(t ≤ 0.47) = 0.3423 + (1 - 0.6603) =0.6820
With the level of significance of 5%, the decision is to not reject the null hypothesis. This means that the slope of the regression is equal to cero, i.e. there is no linear regression between the two variables.
I hope this helps!
This is saying that -3 is the result of a number "p" plus 10...therefore the equation is p+10=-3