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Harrizon [31]
3 years ago
11

(5.25) An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he m

easured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree days, where a day's degree-days are the number of degrees its average temperature falls below 65 degrees F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be
Mathematics
1 answer:
Alchen [17]3 years ago
5 0

This question is incomplete, the complete question is;

An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used  y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65oF) over a 23-month period.

He then computed the least-squares regression line for predicting y from x and found it to be:   y^=80+16x.  

How much, on average, does gas used increase for each additional degree-day?

Answer : ______ cubic feet.

(Give your answer as a whole number.)

Answer:

Amount of natural gas used increased by 19 cubic feet.

Step-by-step explanation:

Given the data in the question;

Let the dependent variable y be the amount of natural gas used ( ft³ )

Also let an independent variable x be be the degree days temperature ( in °F)

So the least squares regression equation is;

y^{bar} = 80 + 16x

or

amount_of_natural_gas_used = 80 + 16(degree_days_temperature

Th slope or the standardized regression coefficient of the given regression equation is;

b₁ = 16

the slope coefficient b₁ = 16 is tells us that for each additional one-degree days temperature, an amount of natural gas used increased by 19 cubic feet.

Therefore, amount of natural gas used increased by 19 cubic feet.

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Answer:  -3 + 4 = 1

==================================================

Explanation:

We start at the bottom layer.

That arrow on the bottom layer goes from 0 to -3. In short, it represents the number -3.

The upper arrow moves from -3 to +1 or simply 1. This is a distance of 4 spaces. So we add on 4.

Overall, this diagram represents -3+4 = 1

8 0
2 years ago
PLS HELP ME I WILL MARK!!!!~ don't need to show work
Sauron [17]
I’m not so sure, but I think it might be:
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6 0
3 years ago
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Two numbers have the sum of 116. The same two numbers have a difference
julsineya [31]

Answer:

64+52=116

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Step-by-step explanation:

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4 0
2 years ago
Find the slope and the equation for the line passing through the (-3,2 ) point with x-intercept at x=-4. and how do I find the e
WINSTONCH [101]
Well, the x-intercept is at -4, that means, the graph touches the x-axis at -4, or when x = -4, what's the value of "y" when that happens?  well, if the graph touches the x-axis, the y-value has gone all the way down to 0, and thus y = 0, therefore the point at that x-intercept is ( -4, 0 )

so, what's the equation of a line that passes through (-3,2) and (-4,0)?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ -3}}\quad ,&{{ 2}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-2}{-4-(-3)}\implies \cfrac{0-2}{-4+3}
\\\\\\
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\\\\\\
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\\\\\\
y-2=2(x+3)\implies y-2=2x+6\implies y=2x+8
3 0
3 years ago
What is the mean for 34,56,78,98 ?
Naya [18.7K]

Answer:

The answer is 66.5

Step-by-step explanation:

To get the mean, you add all the numbers together, then you divide by the # of numbers their are. So you add 34,56,78,98, and then you divide by 4.

6 0
3 years ago
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