1. (a) A television executive selects 10 television shows and compares the average number of viewers the show had last year with the average number of viewers this year. The data (in millions) are shown. Viewers last year (X) | 26.6 | 17.85 20.3 16.8 20.8 16.7 | 19.1 18.9 | 16.0 | 15.8 Viewers this year (Y) 28.9 19.2 26.4 13.7 20.2 18.8 25.0 21.0 16.8 15.3 i Describe the relationship by means of a suitable graphical representation. Is it linear or non- linear? ii. How strong the relationship is? i. Obtain an equation to estimate the viewers this year for a TV show which had 20.2 million viewers last year. iv. Plot and examine the residuals obtained from the equation in (c). Can the equation be considered a good model for estimation?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![1. (a) A television executive selects 10 television shows and compares the average number of viewers
the show had last year with the average number of viewers this year. The data (in millions) are
shown.
Viewers last year (X) 26.6 17.85 20.3
16.8
20.8 16.7
19.1 | 18.9 | 16.0 15.8
Viewers this year (Y)
28.9
19.2
26.4 13.7 20.2 18.8 25.0 21.0 16.8 15.3
i.
Describe the relationship by means of a suitable graphical representation. Is it linear or non-
linear?
ii.
How strong the relationship is?
iii.
Obtain an equation to estimate the viewers this year for a TV show which had 20.2 million
viewers last year.
iv.
Plot and examine the residuals obtained from the equation in (c). Can the equation be
considered a good model for estimation?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F66157d51-15eb-4e84-bed5-53b286a5bdae%2Ffdea9c0e-a11a-4d7b-a022-e0d85d814dad%2Fklkpn3_processed.jpeg&w=3840&q=75)
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