Question

The following data shows the maximum temperature and minimum temperature on a certain day at 10 important cities located at different parts of India.
Maximum Temperature: 29 23 25 15 27 29 32 35
Minimum Temperature: 8 3 7 5 8 19 10 7 5 8
(i) Fit a regression line of X on Y and Y on X
(ii) Estimate the maximum Temperature when the minimum Temperature is 12.
(iii) Estimate the minimum Temperature when the maximum temperature is 40.
(iv) Also calculate Karl Pearson's coefficient of correlation.​

Answer 1

Answer:

Hint: take the names of the cities on horizontal X axis and maximum and minimum temperatures of the cities on vertical Y axis. Plot a double bar graph of this data and answer the questions given using the information from the graph.

Complete Step by step answer: The following data given gives the information about the maximum and minimum temperatures of different cities.

City Delhi Bangalore Srinagar Mumbai Chennai

Maximum Temperature (in ∘C

∘C

) 23 20 10 30 32

Minimum Temperature (in ∘C

∘C

) 20 19 4 28 27

Plot a double bar graph of this data by taking the names of the cities on the horizontal X axis and maximum and minimum temperatures of the cities on the vertical Y axis.

(a)

The maximum temperature of the Srinagar city is 10∘C

10∘C

and the minimum temperature is 4∘C

4∘C

.

Hence, the temperature difference of the Bangalore city is 6∘C

6∘C

which is greater than the temperature difference of any other cities.

Hence, Srinagar city has the maximum difference in day’s temperature.

(b)

The maximum temperature of the Bangalore city is 20∘C

20∘C

and the minimum temperature is 19∘C

19∘C

.

Hence, the temperature difference of the Bangalore city is 1∘C

1∘C

which is lesser than the temperature difference of any other cities.

Hence, Bangalore city has the minimum difference in day’s temperature.

(c)

Among the maximum temperatures of all the cities, the city Chennai has the maximum temperature as 32∘C

32∘C

which is more than the maximum temperature of any other cities.

Therefore, the city Chennai has the hottest temperature.

Among the minimum temperatures of all the cities, the city Srinagar has the minimum temperature as 4∘C

4∘C

which is more than the minimum temperature of any other cities.

Therefore, the city Srinagar has the coldest temperature.

Note: The students should keep in mind that minimum and maximum temperatures of a city should be plotted adjacent to each other. The students may plot the minimum and maximum temperature of a city at different positions. Also the students should keep in mind that the temperature differences asked in first and second parts should be the temperature difference for the same city.