It is possible for an observation to be correlated to its cause, however,
causation is not implied by the existence of correlation
The linear equation that models the data is;
The correct option to whether the presence of a causal relationship is
option A. <u>There is a positive correlation and no causal relationship</u>
Reasons:
The given data is presented as follows;
The least squares regression formula is presented as follows;
Where;
Using MS Excel, we have;
∑x·y = 285
∑x = 33
∑y = 51
= 8.5
= 5.5
∑x² = 199
∑x·∑y = 33×51
(∑x)² = 1,089
(∑y)² = 51
Therefore;
a = 8.5 - 0.2575 × 5.5 = 7.08575
The linear equation that model's Nadeem's equation is therefore;
The correlation coefficient, <em>r</em>, is given as follows;
Therefore;
Therefore, the there is a positive correlation between the visits and
number of books Nadeem checks out
However, from the weak correlation, given by the low value, of the
correlation coefficient <u>there is no causal relationship between the </u>
<u>Nadeem's visit </u><u>to the </u><u>library </u><u>and the number of books he checks out</u>
The correct option is therefore; <u>There is a positive correlation and no causal relationship</u>
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brainly.com/question/24768947