Step-by-step explanation:
9. a)
2•(-2) = 2 - 6
-4 = -4
-2 -2 = -2•2
-4 = -4
Yes, the ordered pair is the solution
9. b)
-1 = 3•(-2) +5
-1 = -6 +5
-1 = -1
3•(-2) +(-1) = -2
-6 -1 = -2
-7 ≠ -2
No, the ordered pair is not the solution
10. (-1, -1) and (3, -1)
11.
y = 6 +x
Now substitute it in the first equation:
3•(6 +x) = 5x
18 + 3x = 5x
18 = 2x
x = 18/2
x = 9
Now, substitute x = 9 in the second equation:
y -9 = 6
y = 6 +9
y = 15
Around 36 percent of the calories
It is a trapezoid. If you slice the pyramid you get two shapes, a triangle, and a trapezoid. The correct two-dimensional shape is the trapezoid.
Formula (n-2)x180
(30-2)x180
=5040
The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Important assumptions in regression model analysis are
- There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
- There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
- The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
- The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
- The error terms must be normally distributed.
Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
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