N= 7.01 :D I’m pretty sure that’s the answer :)
Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.
Linear regression represents the relationship between two variables. the value of y depends on the value of x.
x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y
y = 2.1 x + 130
y = 2.1 (150) + 130
y= 445
The company expects $445 in sales
Answer:
The projected enrollment is ![\lim_{t \to \infty} E(t)=10,000](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20E%28t%29%3D10%2C000)
Step-by-step explanation:
Consider the provided projected rate.
![E'(t) = 12000(t + 9)^{\frac{-3}{2}}](https://tex.z-dn.net/?f=E%27%28t%29%20%3D%2012000%28t%20%2B%209%29%5E%7B%5Cfrac%7B-3%7D%7B2%7D%7D)
Integrate the above function.
![E(t) =\int 12000(t + 9)^{\frac{-3}{2}}dt](https://tex.z-dn.net/?f=E%28t%29%20%3D%5Cint%2012000%28t%20%2B%209%29%5E%7B%5Cfrac%7B-3%7D%7B2%7D%7Ddt)
![E(t) =-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+c](https://tex.z-dn.net/?f=E%28t%29%20%3D-%5Cfrac%7B24000%7D%7B%5Cleft%28t%2B9%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%2Bc)
The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.
![2000=-\frac{24000}{\left(0+9\right)^{\frac{1}{2}}}+c](https://tex.z-dn.net/?f=2000%3D-%5Cfrac%7B24000%7D%7B%5Cleft%280%2B9%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%2Bc)
![2000=-\frac{24000}{3}+c](https://tex.z-dn.net/?f=2000%3D-%5Cfrac%7B24000%7D%7B3%7D%2Bc)
![2000=-8000+c](https://tex.z-dn.net/?f=2000%3D-8000%2Bc)
![c=10,000](https://tex.z-dn.net/?f=c%3D10%2C000)
Therefore,
Now we need to find ![\lim_{t \to \infty} E(t)](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20E%28t%29)
![\lim_{t \to \infty} E(t)=-\frac{24000}{\left(t+9\right)^{\frac{1}{2}}}+10,000](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20E%28t%29%3D-%5Cfrac%7B24000%7D%7B%5Cleft%28t%2B9%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%2B10%2C000)
![\lim_{t \to \infty} E(t)=10,000](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20E%28t%29%3D10%2C000)
Hence, the projected enrollment is ![\lim_{t \to \infty} E(t)=10,000](https://tex.z-dn.net/?f=%5Clim_%7Bt%20%5Cto%20%5Cinfty%7D%20E%28t%29%3D10%2C000)
Answer:
Y=-2/3x + 5
Step-by-step explanation:
Answer:
T is correct (the fourth answer)
Step-by-step explanation: