Neco 2024 Data Processing Question 37

Practice objective / multiple choice question 37 from the 2024 Neco Data Processing examination.

Neco 2024 Data Processing Objective / Multiple Choice Medium Difficulty
Question 37 NECO • 2024 • DATA_PROCESSING • objective

From a survey of 200 households the following totals were obtained: \(\Sigma x = 560\), \(\Sigma y = 7200\), \(\Sigma x^{2} = 1900\), \(\Sigma y^{2} = 280\,000\), \(\Sigma xy = 22\,500\), where \(x\) is the number of ICT devices and \(y\) is the monthly internet expenditure (₦). (i) Compute the Pearson correlation coefficient \(r\) between \(x\) and \(y\). (ii) State whether the relationship is positive, negative or none. (iii) Determine the least‑squares regression line for predicting \(y\) from \(x\), giving the slope and intercept to two decimal places.

Answer Options

Correct Answer A. r ≈ 0.89 (positive strong); regression line: ŷ = 16.27 + 7.05x
B. r ≈ 0.45 (positive moderate); regression line: ŷ = 20.15 + 5.30x
C. r ≈ -0.62 (negative moderate); regression line: ŷ = 12.00 - 6.80x
D. r ≈ 0.95 (positive very strong); regression line: ŷ = 10.50 + 8.20x
Correct Answer
A
Correct Option:
r ≈ 0.89 (positive strong); regression line: ŷ = 16.27 + 7.05x

About This Question

This is Neco 2024 Data Processing Question 37. It is one of the objective questions from the 2024 Neco Data Processing examination.

Difficulty level: Medium .

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