Question

x |
1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|

y |
1107 | 1711 | 2467 | 3886 | 5440 | 7993 |

Use linear regression to find the equation for the linear function
that best fits this data. Round to two decimal places.

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Answer #1

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Linear Regression
Use linear regression to find the equation for
the linear function that best fits this data. Round both numbers to
two decimal places. Write your final answer in a form of an
equation y=mx+by=mx+b
x
1
2
3
4
5
6
y
98
122
156
176
213
219

Use linear regression to find the equation for the linear
function that best fits this data. Round both numbers to two
decimal places.
Write your final answer in a form of an equation y = m x + b
x
1
2
3
4
5
6
y
87
102
119
149
158
178

Use linear regression to find the equation for
the linear function that best fits this data. Round both numbers to
two decimal places. Write your final answer in a form of an
equation y=mx+by=mx+b
x
1
2
3
4
5
6
y
93
110
138
170
191
212

Linear RegressionUse linear regression to find the equation
for the linear function that best fits this data. Round both
numbers to two decimal places. Write your final answer in a form of
an equation y=mx+by=mx+b
x
1
2
3
4
5
6
y
95
104
129
147
159
166

Data Set:
x
y
0
4
2
2
2
0
5
-2
6
1
1. Find intercept b0
2. Find slope B1
3. Find the best fitted linear regression equation
4.Graph observations
5.Graph the linear equation on the same plot
6. Find the coefficient of Determination r²
7. Find the linear correlation coefficient r
8.Interpret r (the correlation between x & y)

Linear Regression and Correlation.
x
y
3
-10.52
4
1.94
5
-2.7
6
-3.14
7
-9.18
8
-4.82
9
-12.26
10
-11.1
11
-6.44
Compute the equation of the linear regression line in the form y =
mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places. (Round if necessary)
y = x +
Compute the correlation coeficient for this data set. Use at least
3 decimal places. (Round if necessary)...

x
7
0
3
4
3
1
y
6
2
6
5
6
7
Assuming that the regression equation is y = 4.433 + 0.300x and
that the SSE = 12.6333, test to determine if the slope is not equal
to zero using alpha = 0.10
a) Test Statistic T = ______ (round to two decimal places)
b) Critical value(s) = _______, _______ (round to 3 decimal
places)
c) P-value = ______

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...

Linear Regression and Correlation.
x
y
3
-3.26
4
2.72
5
1.2
6
1.88
7
0.16
8
-5.66
9
3.02
10
-6.7
11
-3.92
12
-5.34
Compute the equation of the linear regression line in the form y =
mx + b, where m is the slope and b is the intercept.
Use at least 3 decimal places.
y = x +
Compute the correlation coeficient for this data set. Use at least
3 decimal places.
r=
Compute the P-value...

Data for two variables, x and y, follow.
xi
1 2 3 4 5
yi
5 9 7 13 16
(a)
Develop the estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ = 2.20+2.60x
Compute the studentized deleted residuals for these data. (Round
your answers to two decimal places.)
xi
yi
Studentized
Deleted Residual
1
5
2
9
3
7
4
13
5
16

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