Answer:
The equation for regression line and predicting a husband's height for married couples in their early 20s
Equation: Y'=33.67+0.54*X'
Step-by-step explanation:
r=0.5
x'=64.5
Sx=2.5
y'=68.5
Sy=2.7
General regression line equation is:
Y'=a+b*X'
so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

The intercept with axis y is the mean of the decreased by the product of the slope and the mean of x

The equation regression line then is:
Y'=33.67+0.54*X'
A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
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Step-by-step explanation:
Answer: I need help too to that
Step-by-step explanation:
Answer:
All real numbers greater than or equal to -3
Step-by-step explanation:
we know that
The curved line could be a vertical parabola opening upwards with vertex at (2,-3)
The vertex is a minimum
The y-intercept is the point (0,1)
The x-intercepts are the points (0.25,0) and (3.75,0)
so
The domain is the interval -----> (-∞,∞)
All real numbers
The range is the interval ----> [-3,∞)
All real numbers greater than or equal to -3