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of the insulation wants to develop guidelines for bulders and consumers on how t

ID: 3224292 • Letter: O

Question

of the insulation wants to develop guidelines for bulders and consumers on how the thickness in the laboratory.itvaned home and the outdoor temperature affect natural gas the insulation and temperature, of the findings are Monthly Natural Thickness of ourdoor On the basis of the sample results, the regression equaton is: 612 0.19x1 0.75x2 (al How much natural gas can xpect to use per monthrthey instal sinchesofinsulatson.nd is 40 degrees F? Round your answer to 2decinalplacesJ the outdoor temperature Expect to use per month cubic feet (b)What effect would installing 9 inches of have the monthly natan gas consumption (assuming the outdoor temperature remains at 40 degees F? (Round your swers to 2 A cack to select cubic feet of monthly natural gas consumption. (c) Why are the regression coeficients b1 and b2 negative? Is this ogical? Ocick to selecta a logically, as the amount of cackle select insulation outdoor temperature Cack to B, the consumption of natural gas decroasas. eBook &

Explanation / Answer

Part a

The required least square regression equation is given as below:

Y = 61.2 – 0.19*X1 – 0.75*X2

Now, we have to predict the value of Y for the X1 = 5 and X2 = 40

Now, plug values of X1 and X2 in above regression equation given as below:

Y = 61.2 – 0.19*X1 – 0.75*X2

Y = 61.2 – 0.19*5 – 0.75*40

Y = 30.25

Required answer: 30.25

Part b

The required least square regression equation is given as below:

Y = 61.2 – 0.19*X1 – 0.75*X2

Now, we have to predict the value of Y for the X1 = 9 and X2 = 40

Now, plug values of X1 and X2 in above regression equation given as below:

Y = 61.2 – 0.19*X1 – 0.75*X2

Y = 61.2 – 0.19*9 – 0.75*40

Y = 29.49

Required answer: 29.49

Part c

The regression coefficients b1 and b2 are negative in sign because the relationship of the independent variable X1 with Y is negative in nature and also the relationship of the independent variable X2 with dependent variable Y is negative in nature. The negative correlation or linear association indicate that the slope of the corresponding variables should be negative.

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