Page 296 - Artificial Intellegence_v2.0_Class_11
P. 296
Withdrawal 1 2 3 4 5 6 7 8 9 10
x 40 10 100 110 120 150 20 90 80 130
y 55 62 195 330 95 270 48 195 214 285
a. Draw a scatterplot for this data. (Use graph sheet)
b. Interpret the gradient of the regression line.
C. Competency-based/Application-based questions:
1. Tanu is studying correlation. She has to identify which scenario matches positive, negative or no correlation. Help
Tanu to do so.
a. an increase in the number of kilometres ran everyday leads to an increase in the number of calories a person
burns.
b. an increase in salary does not affect one’s height.
c. the price of tomatoes increases but its demand decreases.
2. Now Tanu calculates the correlation coefficient between amount of fertilizer used and crop yield. The correlation
coefficient’s value comes out to be 0.84. What does this value signify?
In Life Life Skills & Values
Regression plays an important role in real-life too. Agricultural scientists use linear regression to assess the effect
of fertilizers and water on crop yields. Find out 2 more examples where regression helps in real life.
Deep Thinking Critical Thinking
Suppose you are working in a pharmaceutical company. Your team has to collect and analyse data regarding shelf
life of a drug released by your company. Find out ways in which regression can help you. (Hint - Risk analysis, better
decision making etc.)
Lab Interdisciplinary
1. A shopkeeper sells pens in his shop. He sells the pens for a different cost price for six weeks. He notes
the number of pens, y, sold each week. The results are shown in the table below:
x (cost price) 15 20 25 30 35 40
y (no. of pens sold) 65 60 55 45 38 35
Plot the scatterplot for the above on graph paper.
294 Touchpad Artificial Intelligence (Ver. 2.0)-XI

