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The accompanying data table contains the listed prices (in thousands of dollars) and the number of square feet for 50 homes in a neighborhood. Use the selling price (in dollars) per square foot as y and the reciprocal of the number of square feet as x. A partial output for the simple regression model (SRM) is also given. Complete parts (a) through (e). E Click the icon to view the data table. (a) |dentify the scatterplot of the home prices on the number of square feet. Explain why the simple regression of price on square feet would violate the conditions of the SRM. What would be the consequences of using that model to predict home prices? Choose the correct scatterplot below. APrice (3) Q 3.ooo,ooo—a~ T = T o 0 0 0 5000 0 5000 Square Feet Square Feet Square Feet Square Feet Explain why the simple regression of price on square feet would violate the conditions of the SRM. Choose the correct answer below. The data does not demonstrate a linear association between square feet and price. There is heteroscedasticity because the prediction intervals would be too long for small homes and too short for large homes. There is heteroscedasticity because the prediction intervals would be too short for small homes and too large for large homes. The residuals are not nearly normal. What would be the consequences of using that model to predict home prices? Select all that apply.
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Related Questions
Numerical Answer Only Type Question
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\[ Y=15-0.5 X \]
A customer who lives30 kmaway from the mall will visi______ who lives10 km away. less times than a customer
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Fatalities
Ln Safety Belt Rate
1071
3.951243719
1138
4.058717385
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4.257030144
991
4.374498368
1038
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1148
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1207
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1110
4.410371108
969
4.455509411
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895
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865
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4.561218298
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Suppose the Sherwin-Williams Company is interested in developing a simple regression model with paint sales (Y) as the dependent variable and
selling price (P) as the independent variable.
Complete the following worksheet and then use it to determine the estimated regression line.
Sales Region
Selling Price
($/Gallon)
Sales
(x 1000 Gal)
i
2
Zi
Yi
Zith
1
15
160
2,400
225
25,600
2
13.5
220
2,970
182.25
48,400
3
16.5
140
2,310
272.25
19,600
4
14.5
190
2,755
210.25
36,100
5
17
140
2,380
289
19,600
6
16
160
2,560
256
25,600
7
13
200
2,600
169
40,000
8
18
150
2,700
324
22,500
9
12
220
2,640
144
48,400
10
15.5
190
2,945
240.25
36,100
Total
151
1,770
2,312
Regression Parameters Estimations
Slope (B)
Intercept (a)
In words, for a dollar increase in the selling price, the expected sales will
What is the standard error of the estimate (&)?
O 14.889
12.180
13.342
gallons in a given sales region.
What is the estimate of the standard deviation of the estimated slope (86)?
O 2.636
2.157
2.362
Can you…
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The following data relate the sales figures of restaurant, to the number of customers registered that week:
Week
Customers
Sales (SR)
First
16
330
Second
12
270
Third
18
380
Fourth
14
300
a) Perform a linear regression that relates bar sales to guests (not to time).
b) If the forecast is for 20 guests next week, what are the sales expected to be?
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Answer in typing
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FIGURE. SCATTERPLOT FOR U.S. DEPARTMENT OF TRANSPORATION PROBLEM
U.S. Department of Transportation
The Relationship Between Fatal Accident Frequency and Driver Age
4.5
3.5
3
2.5
1.5
1
0.5
6.
10
12
14
16
18
Percentage of drivers under age 21
Upon visual inspection, you determine that the variables do have a linear relationship. After a linear pattern has been established visually, you now proceed with
performing linear…
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You are interested in how the number of hours a high school student has to work in an outside job has on their GPA. In your
regression you want to control for high school
standing and so you run the following regression:
GPA = 3.4 0.03 * HrsWrk - 0.7 * Frosh - 0.3 * Soph +0.1 * Junior
(1.1) (0.013)
(0.23)
(0.14) (0.08)
where HrsWrk is the number of hours the student works per week, and Frosh, Soph, and Junior are dummy variables for the
student's class standing.
a) If you include a dummy variable for seniors, that would cause a
Hint: type one word in each blank.
For the rest of questions, type a number in one decimal place.
b) The expected GPA of a Sophomore who works 10 hours per week is
c) The expected GPA of a Senior who works 10 hours per week is
d) If Dom and Sarah work the same number of hours per week, but Dom is a Junior and Sarah is a Freshman.
Dom is expected to have a
higher GPA than Sarah.
e) Suppose you rewrite the regression as:
problem.
GPA = ₁HrsWrk + ß2Frosh + B2Soph +…
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Stores commonly offer a cheaper unit price for large quantity purchases.
Quantity
1
2
5
10
20
Unit Price
$100.00
$80.00
$70.00
$50.00
$40.00
a. Use regression to find a logarithmic equation to model the data. Round the numbers in your equation to 2
decimal places.
y = a + bln(z) with
You
b
b. Use your equation to find an appropriate unit price for a customer who purchases 15 items.
c. Use your equation to find an appropriate unit price for a customer who purchases 25 items.
$
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week guests bar sales
1 16 $330
2 12 $270
3 18 $380
4 14 $315
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Bar sales = [___]+[___]X guests
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GPA).
Estimated College GPA = 2.56 + 0.1582 High School GPA
GPAs
College GPA High School GPA
3.96
4.42
2.81
3.91
3.53
4.21
3.27
2.76
3.58
4.95
2.07
4.24
Copy Data
Step 2 of 3: Compute the mean square error (s2) for the model. Round your answer to four decimal places.
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Topic: Simple Regression
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(GPA), y. The data that were collected are displayed
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GPA and Absences
4.8
4.4
4.0
3.6
3.2
2.8
2.4
2.0
1.6
4 6 8 10 12 14
16
Absences (Days)
What effect does the circled point have on the
standard deviation of the residuals?
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positive residual.
This point will increase the value of the standard
deviation of the residuals because it has a large
negative residual.
This point will not affect the value of the standard
deviation of the residuals because it has a large
positive residual.
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please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearly
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Don't use Ai
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18
Given that the sum of the squared deviations of EDUC is
9025.6
The standard error of the slope coefficient is ________.
a
0.1524
b
0.1249
c
0.1024
d
0.0839
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Interpret the y intercept of the least squares regression line.
Select the correct answer below
O The predicted cost of a vintage car from a dealership in the year is 820.000
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O The predicted cost of a vintage car from a dealershp in the year 1990 is sse.
The yintercept should not be interpreted.
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6) Suppose you have the following data on the price of orange and the quantity sold:
Price per Pound (in Quantity
Sold (in
Dollars)
Pounds)
0.50
0.75
1.00
1.25
1.50
10
7
699
5
2
Assume that the quantity sold (Y) is a linear function of the price (X), i.e.
Y₁ =B₁ + B₂X₁ + ε₁
Estimate the population regression coefficients. (Do not use Computer)
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Conduct a regression analysis
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Interpret the coefficients in the regression model
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The variable shown on the vertical axis is __________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).
The units for the variable on the horizontal axis are _________ (options: thousands of dollars per car, thousands of dollars per year, income, thousands of dollars, price, number of goods).
There are two ways to view the information presented on the graph. First, the graph tells us the amount a person with a certain income is likely to spend on a car, and second, it tells us the probable income of a person who spent a certain amount on a car. For example, if an individual earned $50,000 last year and purchased a new car, you would expect that person to…
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QUESTION 17
I am trying to figure out how to measure an athlete's productivity. So, I have
run a linear regression of a NBA player's salary (dependent variable) on a
player's statistics including average points, assists, rebounds per game, and
turnovers per game (the independent variables).
The final model is: Salary = 1,000,000 * Points per game + 50,000 * Assists
per game + 20,000 * Rebounds per game - 30,000 * Turnovers per game
%3!
Last year, Lebron James averaged 25 points per game, 8 assists per game, 8
rebounds per game and 4 turnovers per game. What is Lebron's predicted
salary?
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Only typed Answer and give Answer fast
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5.2
42
The following regression shows the impact of the number of rooms (ROOM) on the
monthly rent of an apartment (in thousand Rands) (RENT) from a sample of 42 randomly
chosen apartments in Parow:
Dependent Variable: RENT
Variable
C
ROOM
r-square: 0.7180
Parameter
-0.7705
2.1331
SE of regression: 2.3397
Std. Error
0.8233
0.2114
sample size = 42
What will be values of the parameters, variance and standard errors of the
parameters, estimated variance of error terms, coefficient of determination and
correlation coefficient, if RENT is measured in Rands and there is no change to
the unit of measurement of the ROOM variable?
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beverage industry and so collects monthly data for 25 firms. He estimates the model:
Sales 6g + 61 Advertising + e. The following table shows a portion of the regression results.
Coefficients
Standard Error
t-stat
p-value
40.10
14.88
2.848
0.0052
Intercept
Advertising
2.88
1.52
-1.895
0.0608
When testing whether Advertising is significant at the 10% significance level, the conclusion is to
Multiple Choice
reject Hg, we can conclude advertising is significant
not reject He; we cannot conclude advertising is significant
reject He; we cannot conclude advertising is significant
not reject He; we can conclude advertising is significant
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A marketing analyst wants to examine the relationship between sales (in $1,000s) and advertising (in $100s) for firms in the food and beverage industry
and collects monthly data for 25 firms. He estimates the modet:
Sales- Bo + B1 Advertising +t. The following table shows a portion of the regression results.
Coefficients
Standard Error
t-stat
p-value
Intercept
40.10
14.08
2.848
0.0052
Advertising
2.88
1.52
-1.895
0.0608
Which of the following are the competing hypotheses used to test whether the slope coefficient differs from 3?
Multiple Choice
Ho i bị 3; HAtbi3
Họ ib - 2.88; HAibi 2.88
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Quantity Price
180 475
590 400
430 450
250 550
275 575
720 375
660 375
490 450
700 400
210 500
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