<u>It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below</u>
Answer:
<em>The diver's depth will be -42.9 after 30 minutes</em>
Step-by-step explanation:
The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:
y = -3.29x - 10
Where y is the diver's depth and x is the time in minutes.
To predict the diver's depth at x=30 minutes, substitute in the equation:
y = -3.29(10) - 10
y = -32.9 - 10
y = -42.9
Since no units are provided for y, the answer is:
The diver's depth will be -42.9 after 30 minutes
The regression equation for the data given is y= -8.57 -2.31x
Step-by-step explanation:
The first step is to form a table as shown below;
x y xy x² y²
1 4 4 1 16
2 1 2 4 1
3 5 15 9 25
4 10 40 16 100
5 16 80 25 256
6 19 114 36 361
7 15 105 49 225
28 60 360 140 984 ------sum
A linear regression equation is in the form of y=A+Bx
where ;
x=independent variable
y=dependent variable
n=sample size/number of data points
A and B are constants that describe the y-intercept and the slope of the line
Calculating the constants;
A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²
A=(60)(140) - (28)(360) / 7(140)-(28)²
A=8400 - 10080 /980-784
A= -1680/196
A= - 8.57
B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²
B= 7(360)-(28)(60) / 7(60) - (28)²
B=2520 - 1680 /420-784
B=840/-364
B= -2.31
y=A+Bx
y= -8.57 -2.31x
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Regression equation :brainly.com/question/12280902
Keywords : equations, regression line, data
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Answer:
Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation
⇒ take the square root of both sides;
Therefore, option B is the right solution.
Answer:
y = -3x - 2
Step-by-step explanation:
slope (m) = (-8 - -5) / (2 - 1) ... difference of y/difference of x
m = -3
y = mx + b
y = -3x + b
for (3,-11) b = y + 3x = -11 + 3x3 = -2
equation: y = -3x - 2
Unless you're given the value of the variables, you can't really solve for anything. The only thing you can do is simplify.
<span>39+5h+4g-2h
The only like terms are 5h and -2h.
39 + 3h + 4g
This would be the simplified version.</span>
