The very first thing to do in every correlation activity is to plot the gathered data points in a scatter plot. It is better to use software tools like MS Excel because they have a feature there that uses linear regression like that one shown in the picture.
Once you plot the data points, make a trendline. You are given with options. If you want a linear function, then you will have a linear model with a function equation of y = 0.2907x + 2.2643. It has a correlation coefficient of 0.9595. That's a strong correlation already. The R² value tells how good your model fits the data points. If you want to increase the R², a better model would be a quadratic function with the equation, y = -0.0209x²+0.506x+2.0232. As you can see the R² increase even more to 0.9992.
Answer: C.) - 896
Step-by-step explanation:
Given the explicit formula :
An = 7 × (-2)^(n-1)
The 8th term of the geometric sequence using the formula will be :
n = 8
A8 = 7 × (-2)^(8-1)
A8 = 7 × (-2)^7
A8 = 7 × (-128)
A8 = - 896
To find this answer you need to multiply the percent by the total, in this case 15% times 140. Remember to change the percent into a decimal (0.15).
0.15 (140)= 21
21 people earned the award
Answer:
4. D
11. B
12. C
16. D
17. A
Step-by-step explanation:
Answer:
(a) $7492
(b) $10,253
(c) $14,032
Step-by-step explanation:
As we know, the final Amount can be calculated with the formula for compound interest,
A = P(1 + \frac{r}{n} )^{nt}
where,
A = Final Amount due
P = Initial principal amount borrowed
r = rate of interest in decimal
n = number of times applied per time period
t = total time period
Now, according to the given data,
(a) in 4 years ;-
⇒ 
⇒ 
(b) in 6 years ;-
⇒ 
⇒ 
(c) in 8 years ;-
⇒ 
⇒ 