Neco 2020 Data Processing Question 48

Practice objective / multiple choice question 48 from the 2020 Neco Data Processing examination.

Neco 2020 Data Processing Objective / Multiple Choice Medium Difficulty
Question 48 NECO • 2020 • DATA_PROCESSING • objective

For a set of five observations the following summary statistics are given: \(\sum X = 50\), \(\sum Y = 70\), \(\sum XY = 800\), \(\sum X^{2} = 600\), \(\sum Y^{2} = 1100\).\n(a) Compute the Pearson correlation coefficient \(r\) (rounded to two decimal places).\n(b) Does this indicate a strong positive correlation (use the threshold \(0.7\))?\n(c) If the correlation is strong, write the least‑squares regression line \(Y = a + bX\) (round \(b\) to two decimal places and \(a\) to the nearest integer) and predict the value of \(Y\) when \(X = 12\).

Answer Options

A. r = -0.91; strong negative; Y = 4 - 1.00X; predicted Y = -8
B. r = 0.68; weak positive; Y = 5 + 0.90X; predicted Y = 16
Correct Answer C. r = 0.91; strong positive; Y = 4 + 1.00X; predicted Y = 16
D. r = 0.91; strong positive; Y = 3 + 1.10X; predicted Y = 15
Correct Answer
C
Correct Option:
r = 0.91; strong positive; Y = 4 + 1.00X; predicted Y = 16

About This Question

This is Neco 2020 Data Processing Question 48. It is one of the objective questions from the 2020 Neco Data Processing examination.

Difficulty level: Medium .

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