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IITM BS Week 4 Statistics 1 Questions | Prasnya

Statistics 1 > Week 4

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Topic Wise PYQs Start Weekly Test

30Q

Which of the following statement(s) is/are true about the Point Bi-serial correlation coefficient?

Multiple correct

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

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

Among those diagnosed with heart disease, what is the percentage of those who also have diabetes?

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.

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?

26 October 2025

A company studied the relationship between advertising expenditure (

X

) and sales revenue (

Y

) across 12 months. Summary statistics are given. Also, the sum of product of deviations of

X

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.

26 October 2025

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.

26 October 2025

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

A fitness coach records whether the clients meet their weekly exercise goal (Yes

= 1

= 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.

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?

23 February 2025

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

Y

23 February 2025

Find the sample covariance between

X

Y

for the dataset given in Table 2.

27 October 2024

Find the sample correlation coefficient (

r

X

Y

for the dataset given in Table 2. Write correct up to 3 digits after the decimal.

27 October 2024

Consider the following four images of the scatter plot.Please select the option that will represent the correlation values arranged in ascending order.

Find the population covariance between

X

Y

for the dataset given in Table Q.2.

Create a two-way contingency table and find out the number of males in this group who own a smartphone.

Choose the correct option(s) after making a two-way contingency table.

Calculate the correlation coefficient between the marks scored by Manoj and Nitin.

A teacher wants to know if the willingness of students to go for a school trip is associated with the gender of students. In this regard, the teacher collected the data from the school and plotted a

100\%

stacked bar chart as shown in Figure Q.1. What conclusion can you make about association between two variables "Gender" and "Willingness" by observing the plot?

25 February 2024

Table Q.3 represents the heights (in inches) of five fathers

(X)

(Y)

. What is the value of population covariance between

X

Y

25 February 2024

Table Q.2 shows the count of sales of shirts at a men's clothing retailer.Choose the correct option/s from the following:

Multiple correct

25 February 2024

Which measure(s) will help you to determine the existence of the relation between Sales Revenue and the Advertising Expenses?

What is the sample covariance between the Sales Revenue and Advertising Expenses? (Enter the answer correct to one decimal accuracy)

Choose the correct option/s:

Multiple correct

16 October 2022

An analyst did a survey to know the willingness of graduate and post-graduate students of India to go abroad for higher studies. He collected the data from a college for the survey and the results are given in Table 1.1.Q. Choose the correct option/s?

Multiple correct

16 October 2022

The data of the weight (in kg) and age (in years) is recorded of

5

different persons in a hospital and tabulated in Table 1.2.Q. What is the correlation coefficient between the weight and age of persons? (Enter the answer correct to

3

decimal accuracy)

16 October 2022

The data of the hours of sunshine in Tamil Nadu and the sales of ice-cream at an ice-cream parlour in the IIT Madras campus per day is recorded for

7

days and tabulated in Table 1.1.Q. What is the correlation coefficient between the hours of sunshine and the sales of ice-cream? (Enter the answer correct to

2

decimal accuracy)

Which of the given option(s) is(are) correct?

By using the scatter plot for the data given in Table 1.3.Q, we can conclude that:

Showing 30 questions.

Complete question index for this section:

Question 1 (multiple):
Question 2 (multiple):
Question 3 (multiple):
Question 4 (comprehension):
Question 5 (comprehension):
Question 6 (single):
Question 7 (integer):
Question 8 (integer):
Question 9 (multiple):
Question 10 (integer):
Question 11 (single):
Question 12 (integer):
Question 13 (comprehension):
Question 14 (comprehension):
Question 15 (single):
Question 16 (integer):
Question 17 (comprehension):
Question 18 (comprehension):
Question 19 (comprehension):
Question 20 (single):
Question 21 (integer):
Question 22 (multiple):
Question 23 (comprehension):
Question 24 (comprehension):
Question 25 (multiple):
Question 26 (multiple):
Question 27 (integer):
Question 28 (integer):
Question 29 (comprehension):
Question 30 (comprehension):