Question

Test the slope of the regression line for the following data. Use α=.01.

x 140 120 103 92 62 30 24

y 24 29 45 70 88 112 128

(Do not round the intermediate values. Round your answer to 2 decimal places.)

Observed t =

Fail to reject null hypothesis or reject null hypothesis

Answer #1

The statistical software output for this problem is :

Simple linear regression results:

Dependent Variable: y

Independent Variable: x

y = 144.42528 - 0.90188611 x

Sample size: 7

R (correlation coefficient) = -0.98684344

R-sq = 0.97385997

Estimate of error standard deviation: 7.1829277

Parameter estimates:

Parameter | Estimate | Std. Err. | Alternative | DF | T-Stat | P-value |
---|---|---|---|---|---|---|

Intercept | 144.42528 | 6.0353558 | ≠ 0 | 5 | 23.92987 | <0.0001 |

Slope | -0.90188611 | 0.066080224 | ≠ 0 | 5 | -13.648351 | <0.0001 |

Observed t = -13.65

Critical value = 4.032

reject null hypothesis

Test the slope of the regression line for the
following data. Use α=.01.
x 142 121 103 92 66 29 25
y 26 29 46 70 87 112 125
Do not round the intermediate values. Round your
answer to 2 decimal places.)
Observed t = ___
The decision is to reject or fail to reject the null
hypothesis

Open Weight_vs_IQ data.
SETUP: Is it reasonable to assume that the IQ
and weight of a person should not be related? Given the data, your
job is to check if this assertion is indeed reasonable or not.
HINT: Read Lecture 24.
19. What would be the correct
Null-Hypothesis?
a. IQ and Weight should not be related.
b. The population averages are equal.
c. The slope of the regression line is equal to zero.
d. None of these
20. The P-value...

Determine the equation of the regression line for the following
data, and compute the residuals.
x
15
9
18
13
5
y
48
38
56
44
24
Do not round the intermediate values. (Round your
answers to 3 decimal places.)
y^=
+(
)x
Do not round the intermediate values. (Round your
answers to 3 decimal places.)
x
y
Residuals
15
48
9
38
18
56
13
44
5
24

Use the following linear regression equation to answer the
questions.
x1 = 1.1 + 3.0x2 –
8.4x3 + 2.3x4
(a) Which variable is the response variable?
x3
x1
x2
x4
Which variables are the explanatory variables? (Select all that
apply.)
x1
x2
x3
x4
(b) Which number is the constant term? List the coefficients with
their corresponding explanatory variables.
constant =
x2 coefficient=
x3 coefficient=
x4 coefficient=
(c) If x2 = 4, x3 = 10, and
x4 = 6, what...

Use the following linear regression equation to answer the
questions.
x1 = 1.5 + 3.5x2 –
8.2x3 + 2.1x4
(a) Which variable is the response variable?
A. x3
B.
x1
C. x2
D. x4
(b) Which variables are the explanatory variables?
(Select all that apply.)
A. x4
B. x1
C. x3
D. x2
(c) Which number is the constant term? List the
coefficients with their corresponding explanatory variables.
constant ____________
x2 coefficient_________
x3 coefficient_________
x4 coefficient_________
(d) If x2 =...

The following table shows the Myers-Briggs personality
preferences for a random sample of 406 people in the listed
professions. E refers to extroverted and I refers to
introverted.
Personality Type
Occupation
E
I
Row
Total
Clergy (all denominations)
62
45
107
M.D.
70
92
162
Lawyer
61
76
137
Column
Total
193
213
406
Use the chi-square test to determine if the listed occupations
and personality preferences are independent at the 0.05 level of
significance.
(a) What is the level...

Can you write the function in python?
def remove_outliers(data, num_outliers):
# When analyzing data collected as a part of a science experiment
it
# may be desriable to remove the most extreme values before
performing
# other calculations. Complete this function which takes a list
of
# values and an non-negative integer, num_outliers, as its
parameters.
# The function should create a new copy of the list with the
num_outliers
# largest elements and the num_outliers smallest elements
removed.
#...

Open Three Hospitals data. SETUP: It is
believed that the number of injuries recorded in hospital 1 is
different from the number of injuries recorded in hospital 2. Given
the data your job is to confirm or disprove this assertion.
10. What test/procedure did you perform? (4
points)
a. Regression
b. Two sided t-test
c. One sided t-test
d. Confidence Interval
11. What is the statistical interpretation? (4
points)
a. Average of data is inconsistent with the claim
b. P-value...

Many standard statistical methods that you will study in Part II
of this book are intended for use with distributions that are
symmetric and have no outliers. These methods start with the mean
and standard deviation, x and s. For example,
standard methods would typically be used for the IQ and GPA data
here data215.dat.
(a) Find x and s for the IQ data. (Round your
answers to two decimal places.)
s=
Here are the numbers
obs gpa iq gender...

AM -vs- PM sections of Stats - Significance test (Raw
Data, Software Required):
There are two sections of statistics, one in the afternoon (PM)
with 30 students and one in the morning (AM) with 22 students. Each
section takes the identical test. The PM section, on average,
scored higher than the AM section. The scores from each section are
given in the table below. Test the claim that the PM section did
significantly better than the AM section, i.e., is...

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