Question
In: Statistics and Probability
For the data set shown below x y 20 98 30 95 40 91 50 83...
For the data set shown below
x y
20 98
30 95
40 91
50 83
60 70
(a) Use technology to find the estimates of β0 and β1.
β0 ≈b0=114.60
(Round to two decimal places as needed.)
β1≈b1=−0.68
(Round to two decimal places as needed.)
(b) Use technology to compute the standard error, the point estimate for σ.
se=3.7771
(Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, use technology to determine sb1.
sb1equals=0.1194
(Round to four decimal places as needed.)
(d) Assuming the residuals are normally distributed, test H0: β1=0 versus H1: β1≠0 at the α=0.05 level of significance. Use the P-value approach.
Determine the P-value for this hypothesis test.
P-value=__?__
(Round to three decimal places as needed.)
Solutions
orchestra answered 1 year agoRelated Solutions
For the data set shown below x y 20 98 30 95 40 91 50 83...
For the data set shown below
x y
20 98
30 95
40 91
50 83
60 70
(a) Use technology to find the estimates of β0
and β1.
β0≈b0equals=114.60
(Round to two decimal places as needed.)
β1≈b1=−0.68
(Round to two decimal places as needed.)
(b) Use technology to compute the standard
error, the point estimate for σ.
Se=__?__
(Round to four decimal places as needed.)
For the data set shown below, complete parts (a) through (d) below. X 20 30 40...
For the data set shown below, complete parts (a) through (d)
below.
X 20 30 40 50 60
Y 98 95 91 81 68
(a) Find the estimates of Bo and B1.
Bo=bo= _____ (Round to three decimal places as needed.)
B1=b1= ______(Round to four decimal places as needed.)
(b) Compute the standard error the point estimate for
se= ____
(c) Assuming the residuals are normally distributed,
determine
Sb1=____
(Round to four decimal places as needed.)
(d) Assuming the residuals...
For the data set shown below, complete parts (a) through (d) below. x y 20 102...
For the data set shown below, complete parts (a) through (d)
below. x y 20 102 30 95 40 91 50 81 60 68 (a) Use technology to
find the estimates of beta 0 and beta 1. beta 0 ~ b 0=_____(Round
to two decimal places as needed.) beta 1 ~ b 1=_____(Round to two
decimal places as needed.) (b) Use technology to compute the
standard error, the point estimate for o' (o with a little tag on
the top)...
Using the data set below: Score Frequency 20-30 5 30-40 8 40-50 13 50-60 12 60-70...
Using the data set below:
Score
Frequency
20-30
5
30-40
8
40-50
13
50-60
12
60-70
5
Draw a Histogram
Draw a polygon
After listening to YouTube “histogram and polygon,”
explain how histogram is different and similar to
polygon.
Given the data {20, 20, 30, 30, 40, 40, 50, 50, 60, 60}, calculate 1. Gini...
Given the data {20, 20, 30, 30, 40, 40, 50, 50, 60, 60},
calculate
1. Gini coefficient using the quintile distribution.
2. Draw the Lorenz curve with proper labels.
Given the data set below, use it to answer the following questions: 10, 20, 30, 40,...
Given the data set below, use it to answer the following
questions:
10, 20, 30, 40, 50
a. Find the standard deviation
b. Add 5 to each data set value and find the standard
deviation.
c. Subtract 5 from each value and find the standard
deviation.
d. Multiply by 5 on each value and find the standard
deviation.
e. Divide by 5 on each value and find the standard
deviation.
f. Generalize the results in parts a-e.
Given the data set below, construct a 95% confidence interval for the standard deviation. 98 71...
Given the data set below, construct a 95% confidence interval
for the standard deviation.
98 71 124 116 118 131 102 93 95 99
Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45,...
Consider the x, y data:
x-data (explanatory variables):
10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90,
95, 100
y-data (response variables):
1359.9265, 1353.3046, 220.7435, 964.6208, 1861.9920, 1195.3707,
1702.0145, 2002.0900, 1129.1860, 1864.5241, 1444.2239, 2342.5453,
2410.9056, 2766.2245, 2135.2241, 3113.7662, 4311.7260, 3313.1042,
4072.0945
Compute a best fit line to the data. Report:
a. The slope coefficient, β1:
b. The intercept coefficient, β0:
c. The standard error of the residuals
σε:
d. The Adjusted...
Consider the x, y data: x-data (explanatory variables): 10, 15, 20, 25, 30, 35, 40, 45,...
Consider the x, y data:
x-data (explanatory variables):
10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90,
95, 100
y-data (response variables):
1359.9265, 1353.3046, 220.7435, 964.6208, 1861.9920, 1195.3707,
1702.0145, 2002.0900, 1129.1860, 1864.5241, 1444.2239, 2342.5453,
2410.9056, 2766.2245, 2135.2241, 3113.7662, 4311.7260, 3313.1042,
4072.0945
Compute a best fit line to the data. Report:
a. The slope coefficient, β1: ___
b. The intercept coefficient, β0: ___
c. The standard error of the residuals σε: ___
d....
Here is a bivariate data set. x y 40.6 20 40 34.7 23.9 -7.8 37.1 66.9...
Here is a bivariate data set.
x
y
40.6
20
40
34.7
23.9
-7.8
37.1
66.9
39.5
86.1
42.9
21.7
44
-18.8
17.8
62.9
39.8
79.1
40.4
2.1
54.6
133.4
52
83.3
45.7
114.5
29.2
16.9
40.6
106.4
22.8
34.8
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage accurate to one...
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