Question

Use the following dataset and answer the following questions.

x | 6 | 15 | 9 | 21 | 20 | 18 |

y | 16 | 25 | 20 | 35 | 40 | 29 |

Please do problems (b), and (c) BY HAND. You may use your
calculator.

a) The following scatter diagram has been taken from Minitab for
the above data.

What does the above scatter diagram indicate about the relationship between the two variables?

b) Find the intercept of the estimated regression equation (b0).

c) Find the slope of the estimated regression equation (b1).

d) Develop the least squares estimated regression equation in the form of

?̂ = ? 0 + ? 1 ?

e) Use the estimated regression equation from part (d) to predict the value of ? when ? = 12.

Answer #1

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
atter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the...

Consider the following data for two variables, x and
y.
x
22
24
26
30
35
40
y
13
22
34
34
41
35
(a) Develop an estimated regression equation for the data of the
form ŷ = b0 +
b1x. (Round
b0 to one decimal place and
b1 to three decimal places.)
ŷ =
(b) Use the results from part (a) to test for a significant
relationship between x and y. Use α =
0.05
Find the value of the...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
6
6
11
15
Which of the following scatter diagrams accurately represents
the data?
1.
2.
3.
What does the scatter diagram indicate about the relationship
between the two variables?
Develop the estimated regression equation by computing the the
slope and the y intercept of the estimated regression line
(to 1 decimal).
ŷ = + x
Use the estimated regression equation to...

Age and the Price of Wine. For a particular red wine, the
following data show the auction price for a 750-milliliter bottle
and the age of the wine in June of 2016 (WineX website).
Age (years) 36 20 29 33 41 27 30 45 34 22
Price ($) 256 142 212 255 331 173 209 297 237 182
a. Develop a scatter diagram for these data with age as the
independent variable.
b. What does the scatter diagram developed in...

Starting salaries for accountants in Tampa follow those of many
U.S. cities. The scatter diagram bellow shows starting salaries (in
thousands of dollars) and the cost of living index (a number from 1
to 100) for 5 metropolitan areas. A regression analysis helps
provide explanation on how cost of living explains salary in this
sample of cities.
Salary in
Thousands $
Cost of Living Index
(6pt) Use the least squares method (OLS) to develop an
estimated
regression
equation for...

Weekly Usage (hours) Annual Maintenance Expense 13 17.0 10 22.0
20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 34 51.5 43 40.0 Use
the data to develop an estimated regression equation that could be
used to predict the annual maintenance expense for a given number
of hours of weekly usage. What is the estimated regression model
(Enter b0 and b1)? How much of the variation in the annual
maintenance expense is explained by your regression model...

An engineer wants to determine how the weight of a car, x,
affects gas mileage, y. The following data represent the weights
of various cars and their miles per gallon.
A
B
C
D
E
2600
3070
3450
3735
4180
30.1
26.5
21
22.1
17.7
(a) Find the least-squares regression line treating weight as
the explanatory variable and miles per gallon as the response
variable.
Write the equation for the least-squares regression line.
(b) Interpret the slope and intercept, if...

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