Sequences and Scatter Plots

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: \( a_n = a_1 + (n-1)d \), where \( a_1 \) is the first term and \( d \) is the common difference.

Front

What is the common difference in the sequence: 20, 26, 32, 38, ...?

Back

The common difference is 6, calculated as 26 - 20.

Front

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Back

The 26th term is 170.

Front

What are the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...?

Back

The next three terms are 61, 70, 79.

Front

What does a correlation coefficient of r = 0.28 indicate?

Back

It indicates a weak positive correlation between the two variables.

Front

What is the difference between correlation and causation?

Back

Correlation indicates a relationship between two variables, while causation implies that one variable directly affects the other.

Front

Is the sequence 37, 31, 25, 19, ... arithmetic?

Back

Yes, it is an arithmetic sequence with a common difference of -6.

Front

What is the formula for the correlation coefficient?

Back

The correlation coefficient \( r \) is calculated using the formula: \( r = \frac{cov(X,Y)}{\sigma_X \sigma_Y} \), where cov is covariance and \( \sigma \) represents standard deviation.

Front

What does a strong positive correlation look like on a scatter plot?

Back

A strong positive correlation appears as points that closely follow a straight line with a positive slope.