Answer:
a) Sample correlation coefficient, r = 0.7411
bi) test statistic, t = 4.102
bii) P-value = 0.000736
Step-by-step explanation:
a) The formula for the sample correlation coefficient is given by the formula:



r = 0.7511
b)
i) formula for the test statistic is given by the formula:

sample size, n = 4

t = 4.102
ii) Degree of freedom, df = n -2
df = 14 -2
df = 12
The P-value is calculate from the degree of freedom and the test statistic using excel
P-value =(=TDIST(t,df,tail))
P-value = (=TDIST(4.1,12,1)
P-value = 0.000736
Answer:
y= 1/2x - 1
Step-by-step explanation:
TO FIND SLOPE: Count the rise over run. Rise= how much the next point RISES (on the y axis). Run= how much the next point RUNS (moves on the x axis)
TO FIND Y-INTERCEPT: Where the line meets the y axis. We see that the line crosses over on the -1.
Answer:
C
Step-by-step explanation:
Plug in x with -3:

Step-by-step explanation:
a · b = (4)(3) + (5)(6)
a · b = 12 + 30
a · b = 42
Answer:
Step-by-step explanation:
x + y = -20......multiply by -6
6x - 5y = -20
-----------------
-6x - 6y = 120 (result of multiplying by -6)
6x - 5y = -20
---------------add
-11y = 100
y = -100/11 <======
x + y = -20
x + (-100/11) = -20
x - 100/11 = -20
x = -20 + 100/11
x = -220/11 + 100/11
x = - 120/11 <========
solution is : x = -100/11 and y = -120/11 or (-120/11 , -100/11)