Regression analysis | Mathematics homework help


Question 1 Assignment: Postulates needed for questions 3-7 at ground of page:

In a retrogression partition after a while multiple resting fickles, multicollinearity can be caused by:

A hale nonrectilinear analogy betwixt the resting fickle and one or over inresting fickles.

A hale heteroskedastic analogy betwixt the resting fickle and one or over inresting fickle.

A hale rectirectilinear analogy betwixt two or over inresting fickles.

None of the over.

Question 2 
Market researcher Ally Nathan is studying the analogys incompact expense, expression (pure or steel string), and consumer ask-for for acoustic guitars. She wants to confront the analogy betwixt ask-for and expense, persuasive for expression.
To indicate this analogy, she should

Run a pure retrogression of the resting fickle ask-for on the inresting fickle expense and mark the coefficient on expense. 

Run a pure retrogression of the resting fickle ask-for on the inresting fickle expression and mark the coefficient on expression. 

Run a multiple retrogression of the resting fickle ask-for on the inresting fickles expense and expression and mark the coefficient on expression. 

Run a multiple retrogression of the resting fickle ask-for on the inresting fickles expense and expression and mark the coefficient on expense. 

Question 3 
The retrogression partition relates US annual essence decrement in trillions of BTUs to the inresting fickle “US Vulgar Private Result (GDP) in trillions of dollars”.
The coefficient on the inresting fickle tells us that:

For integral subjoined dollar of GDP, middle essence decrement increased by 3,786 trillion BTUs.

For integral subjoined trillion dollars of GDP, middle essence decrement increased 3,786 BTUs. 

For integral subjoined trillion BTUs of essence decrement, middle GDP increased by $3,786 trillion. 

For integral subjoined trillion dollars of GDP, middle essence decrement increased by 3,786 trillion BTUs. 

Question 4 
The retrogression partition relates US annual essence decrement in trillions of BTUs to the inresting fickle “US Vulgar Private Result (GDP) in trillions of dollars”.
Which of the subjoined statements is penny?

The y-intercept of the retrogression direction is 62,695 trillion BTUs. 

The x-intercept of the retrogression direction is $62,695 trillion.

In the accident that a thermonuclear war totally halts all economic immateriality and the US GDP drops to naught, essence decrement procure suppress to 62,695 trillion BTUs. 

None of the over. 

Question 5 
The retrogression partition relates US annual essence decrement in trillions of BTUs to the inresting fickle “US Vulgar Private Result (GDP) in trillions of dollars”. 
In a consecrated war, if GDP is $7.4 trillion, expected essence decrement is:

Around 91,501 trillion BTUs

Around 90,711 trillion BTUs 

Around 28,016 trillion BTUs

Around 467,729 trillion BTUs.

Question 6 
The retrogression partition relates US annual essence decrement in trillions of BTUs to the inresting fickle “US Vulgar Private Result (GDP) in trillions of dollars”.
How abundant of the abnormity in essence decrement can be explained by abnormity in the vulgar private result?

About 99.99%

About 97%

About 94%

Almost none of the abnormity in essence decrement can be explained by abnormity in GDP. 

Question 7 
The postulates consideration at the ground of the page tabulates a pizza paror’s advertising expenditures and sales for 8 orderly quarters. The marketing overseer wants to distinguish how abundant of an application ordinary advertising procure keep on sales two quarters from now.
While prevalent a retrogression after a while the resting fickle “sales” and the inresting fickle “advertising lagged by two quarters”, how sundry postulates points can she use, consecrated the available postulates?

9

For questions 3 through 6:
Year GDP 
(in $trillions) Car Gas Mileage (in mpg) Essence Consumption 
( in trillions of BTU)
1980 2.796 16 78,435
1981 3.131 16.5 76,569
1982 3.259 16.9 73,441
1983 3.535 17.1 73,317
1984 3.933 17.4 76,972
1985 4.213 17.5 76,705
1986 4.453 17.4 76,974
1987 4.743 18 79,481
1988 5.108 18.8 82,994
1989 5.489 19 84,926
1990 5.803 20.2 84,567
1991 5.986 21.1 84,640
1992 6.319 21 86,051
1993 6.642 20.5 87,780
1994 7.054 20.7 89,571
1995 7.401 21.1 91,501
1996 7.813 21.2 94,521
1997 8.318 21.5 94,969
1998 8.782 21.6 95,338
1999 9.274 21.4 96,968

US Essence Decrement (in trillion BTUs)
vs. Vulgar Private Result ($trillions)

Regression Statistics
Multiple R 0.9709
R2 0.9426
Adjusted R2 0.9394 F examination results
Standard Error 1,889 F compute Signif. F
Observations 20 295.51 0.0000 

Coefficients Std Error t Stat P-compute
Intercept 62,695 1,325 47.31 0.0000 
GDP ($trillions) 3,786 220 17.19 0.0000 

For Question #7:

Quarter Sales (in $) Advertising (in $)
Qtr 1, 2001 523,000 88,000
Qtr 2, 2001 512,000 84,000
Qtr 3, 2001 528,000 92,000
Qtr 4, 2001 533,000 92,000
Qtr 1, 2002 540,000 96,000
Qtr 2, 2002 540,000 95,000
Qtr 3, 2002 538,000 93,000
Qtr 4, 2002 541,000 98,000