Question

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 r_{²}

7. Find the linear correlation coefficient r

8.Interpret r (the correlation between x & y)

Answer #1

In the simple linear regression model estimate Y =
b0 + b1X
A. Y - estimated average predicted value, X –
predictor, Y-intercept (b1), slope
(b0)
B. Y - estimated average predicted value, X –
predictor, Y-intercept (b0), slope
(b1)
C. X - estimated average predicted value, Y –
predictor, Y-intercept (b1), slope
(b0)
D. X - estimated average predicted value, Y –
predictor, Y-intercept (b0), slope
(b1)
The slope (b1)
represents
A. the estimated average change in Y per...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
2
8
6
11
13
a) Develop the estimated regression equation by computing the
values of b0 and
b1 using
b1 =
Σ(xi −
x)(yi −
y)
Σ(xi −
x)2
and b0 = y −
b1x.
ŷ =?
b) Use the estimated regression equation to predict the value of
y when
x = 2.

X 1 2 5 7 9
y 4 3 3 1 -1
a) Find the value of bo and b1
b) Find the regression equation
c) Interpret the meaning of the Y intercept bo

Price in Dollars 20 30 34 38 45
Number of Bids 4 5 6 7 9
tep 1 of 6:
Find the estimated slope. Round your answer to three decimal
places.
Step 2 of 6:
Find the estimated y-intercept. Round your answer to three
decimal places.
Step 3 of 6:
Determine if the statement "Not all points predicted by the
linear model fall on the same line" is true or false.
Step 4 of 6:
Substitute the values you found...

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...

Consider the following time series.
t 1 2 3 4 5
yt 6 10 8 13 15
Use Sumple linear regression analysis to find parameters for the
line that minimizes MSE for the time series.
y-intercept, b0=
Slope, b1=
MSE=
What is the forecast for t=6?

For the following data, find the value of “r”
the correlation coefficient, as well as the values
of “a” and “b” the y intercept and slope
, respectively, of the regression line. Please graph the
line as well.
x
y
1
5
2
8
4
11
6
15

Let X ∼ N(0, 1), ∼ N(0, 1). Let Y = 1.75 + 2X + . Generate 100
samples for (X, Y ). Use the generated data to fit a linear
regression. (a) Report the fitted coefficients and intercept. (b)
Draw a scatter plot of (X, Y ). Add the fitted line and the real
line to the scatter plot with different color.
Using R

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)...

The table below gives the list price and the number of bids
received for five randomly selected items sold through online
auctions. Using this data, consider the equation of the regression
line, yˆ=b0+b1x, for predicting the number of bids an item will
receive based on the list price. Keep in mind, the correlation
coefficient may or may not be statistically significant for the
data given. Remember, in practice, it would not be appropriate to
use the regression line to make...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 6 minutes ago

asked 16 minutes ago

asked 32 minutes ago

asked 40 minutes ago

asked 48 minutes ago

asked 50 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago