City Guilds Model Questions Vol1 2023 Information Technology Question 48

Practice objective / multiple choice question 48 from the 2023 City Guilds Model Questions Vol1 Information Technology examination.

City Guilds Model Questions Vol1 2023 Information Technology Objective / Multiple Choice Hard Difficulty
Question 48 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2023 • INFORMATION_TECHNOLOGY • objective

Six months of data on advertising expenditure (in thousand naira) and corresponding sales (in thousand naira) are given:\n\[\begin{array}{c|c}\text{Advertising (X)} & \text{Sales (Y)}\\ \hline\n2 & 20\\\n3 & 24\\\n5 & 35\\\n4 & 30\\\n6 & 42\\\n7 & 49\end{array}\]\n(a) Determine the least‑squares regression line that predicts Sales from Advertising.\n(b) Using this line, estimate the sales when advertising expenditure is 8 thousand naira.\n(c) Compute the coefficient of determination \(R^{2}\) for the regression.

Answer Options

Correct Answer A. Regression line: \(\hat Y = 7.10 + 5.83 X\); predicted sales for X=8: 53.74 (thousand naira); R^2 ≈ 0.99
B. Regression line: \(\hat Y = 8.00 + 5.83 X\); predicted sales for X=8: 54.64 (thousand naira); R^2 ≈ 0.92
C. Regression line: \(\hat Y = 7.10 + 5.50 X\); predicted sales for X=8: 51.10 (thousand naira); R^2 ≈ 0.97
D. Regression line: \(\hat Y = 6.50 + 5.83 X\); predicted sales for X=8: 51.14 (thousand naira); R^2 ≈ 0.95
Correct Answer
A
Correct Option:
Regression line: \(\hat Y = 7.10 + 5.83 X\); predicted sales for X=8: 53.74 (thousand naira); R^2 ≈ 0.99

About This Question

This is City Guilds Model Questions Vol1 2023 Information Technology Question 48. It is one of the objective questions from the 2023 City Guilds Model Questions Vol1 Information Technology examination.

Difficulty level: Hard .

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