Answer:
C) independent variable = age
dependent variable = reaction time in milliseconds
Step-by-step explanation:
The linear regression statistical test is best used for research experiment where there is a single dependent and one independent variable whjre both variables are numeric. In the given options above, the city of residence, gender, college major and political affiliation are all possible categorical variables and age, salary, miles driven and reaction time are all numerical variables. Hence, the best situation in which to use linear regression is a test where both the independent and dependent variables are either age, salary, reaction time or miles driven.
Answer:
![-\frac{1}{2}x^2-2x-5 [\tex]Step-by-step explanation:To convert it to standard form, all you need to do is expand the square and simplify. This would get us to: [tex]-\frac{1}{2}(x^2 + 4x + 4) - 3](https://tex.z-dn.net/?f=%20-%5Cfrac%7B1%7D%7B2%7Dx%5E2-2x-5%20%5B%5Ctex%5D%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3ETo%20convert%20it%20to%20standard%20form%2C%20all%20you%20need%20to%20do%20is%20expand%20the%20square%20and%20simplify.%20This%20would%20get%20us%20to%3A%20%5Btex%5D-%5Cfrac%7B1%7D%7B2%7D%28x%5E2%20%2B%204x%20%2B%204%29%20-%203)
which simplifies further to 
and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]
Hope this helps :)
Answer:
about 60 cm
Step-by-step explanation:
hope this helps :p
Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
