Week 4 Statistics 1 Questions | Prasnya
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Topic wise questions
Q1
Which of the following statement(s) is/are true about the Point Bi-serial correlation coefficient?
Multiple correct
MARCH 15, 2026
MARCH 15, 2026
Q2
Among those diagnosed with heart disease, what is the percentage of those who also have diabetes?
Comprehension
MARCH 15, 2026
MARCH 15, 2026
Q3
Among those who do not have diabetes, what is the percentage of people who have heart disease? Enter the answer correct to two decimal places.
Comprehension
MARCH 15, 2026
MARCH 15, 2026
Q4
The baking time (in minutes) and the corresponding texture rating (on a scale of 1–10) for four baked items are shown in Table 5.Let represent the correlation coefficient between baking time and texture rating. Which of the following statement (s) is/are true?
Multiple correct
MARCH 15, 2026
MARCH 15, 2026
Q5
Suppose X and Y are two numerical variables measured on the same n individuals. Let Cov(X, Y) and r_XY represent the sample covariance and sample correlation coefficient, respectively. Which statement(s) is/are always true?
Multiple correct
MARCH 15, 2026
MARCH 15, 2026
Q6
Table 2 represents the responses of 120 students about their preferred mode of learning (Online vs Offline) and their year of study (First Year, Second Year). Is mode of learning associated with the year of study?
Single correct
OCTOBER 26, 2025
OCTOBER 26, 2025
Q7
A company studied the relationship between advertising expenditure (
X
X
) and sales revenue (
Y
Y
) across 12 months. Summary statistics are given. Also, the sum of product of deviations of
X
X
and
Y
Y
from their respective means is 160. Compute the correlation coefficient between advertising expenditure and sales revenue. Enter the answer correct to one decimal place.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
Q8
Table 3 displays data recorded by an ice-cream vendor, showing the outdoor temperature (°C) and the number of ice creams sold on four different days. Calculate the population covariance between temperature and ice creams sold.
Integer answer
OCTOBER 26, 2025
OCTOBER 26, 2025
Q9
A study was conducted to investigate the association between smoking habits and lung disease within a population. The data is presented in Table Q.3. What proportion of non-smokers have lung disease?
Single correct
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q10
A researcher collected data on the amount of fertilizer (in kilograms) applied and the crop yield (in kilograms per hectare) for 5 different fields. The data is summarized in Table Q.2. Calculate population covariance between
X
X
and
Y
Y
.
Integer answer
FEBRUARY 23, 2025
FEBRUARY 23, 2025
Q11
In a university, 12,500 students appeared in a qualifier exam. Table Q.1 shows the result of the students based on their specialization of the course. Which of the following option(s) is(are) correct?
Multiple correct
JULY 13, 2025
JULY 13, 2025
Q12
A fitness coach records whether the clients meet their weekly exercise goal (Yes
=
1
= 1
, No
=
0
= 0
) and their body fat percentage after 3 months. The data is collected from four clients and represented in Table Q.2. Calculate the absolute Point Bi-serial correlation coefficient between the exercise goal and body fat (\%). Enter the answer correct to two decimal places.
Integer answer
JULY 13, 2025
JULY 13, 2025
Q13
Find the sample covariance between
X
X
and
Y
Y
for the dataset given in Table 2.
Comprehension
OCTOBER 27, 2024
OCTOBER 27, 2024
Q14
Find the sample correlation coefficient (
r
r
) between
X
X
and
Y
Y
for the dataset given in Table 2. Write correct up to 3 digits after the decimal.
Comprehension
OCTOBER 27, 2024
OCTOBER 27, 2024
