4.6 Notes - Linear Regressions

What are the three types of correlation for linear data?

• Strong, Weak, Moderate

• Positive, Negative, No Correlation

• Linear, Non-linear, Curvilinear

• Direct, Inverse, Neutral

What is a linear regression model used to represent?

• The exact values of all data points.

• The overall trend of data that mostly has a linear relationship.

• Only data with a perfect positive correlation.

• The average of all data points without considering trend.

What does the correlation coefficient 'r' indicate about a linear regression model?

• The slope of the line of best fit.

• The y-intercept of the line of best fit.

• How well the model fits the data.

• The number of data points in the scatter plot.

Rounding Practice!

Round the value to the nearest hundredth.

4.67823

• 4.60
• 4.70
• 4.67
• 4.68

Answer explanation

When rounding 4.67823 to the nearest hundredth we want to only keep two numbers after the decimal.

The third number after the decimal tells us if we need to round up or stay the same.

If the third number is 5 or higher, round up.

If the third number is smaller than 5, stay the same.

So, the first two numbers AFTER the decimal with 4.67823 are 67.

The third number is an 8, which is higher than 5.

So 67 needs to round up to a 68.

This means 4.67823 rounded to the nearest hundredth is 4.68.

Rounding Practice!

Round the value to the nearest hundredth.

1.062845

• 1.07
• 1.10
• 1.00
• 1.06

Answer explanation

When rounding 1.062845 to the nearest hundredth we want to only keep two numbers after the decimal.

The third number after the decimal tells us if we need to round up or stay the same.

If the third number is 5 or higher, round up.

If the third number is smaller than 5, stay the same.

So, the first two numbers AFTER the decimal with 1.062845 are 06.

The third number is an 2, which is smaller than 5.

So 06 needs to stay an 06.

This means 1.062845 rounded to the nearest hundredth is 1.06.