ALG Flex Week 14 Assignment (notes located in unit 4 packet)

What is the primary purpose of linear regression when using technology?

• To manually draw the line of best fit on a scatter plot.

• To find the most accurate line of best fit for bivariate data.

• To determine the correlation coefficient without analyzing data.

• To predict future trends without using past data.

What is the first step required on a graphing calculator to view the correlation coefficient (r-value) for a set of data?

• Enter the data into L1 and L2.

• Press the STAT key and select 'Edit'.

• Turn on STAT DIAGNOSTICS in the MODE menu.

• Calculate the linear regression line directly.

What does a correlation coefficient (r) of -0.98 indicate about the relationship between two variables?

• A weak positive correlation.

• A strong negative correlation.

• No correlation.

• A moderate positive correlation.

If the correlation coefficient (r) for a dataset is 0.995, what does this imply about the relationship between the variables?

• There is a weak negative relationship.

• There is no significant relationship.

• There is a very strong positive relationship.

• There is a moderate negative relationship.

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What is the predicted weight of an alligator after 60 weeks, given the equation y = 0.27x + 5.82?

• 22.02 lbs

• 16.2 lbs

• 5.82 lbs

• 27.82 lbs

What is the correlation coefficient for the department store data, and what does it indicate?

• r = 0.947, strong positive correlation

• r = -0.947, strong negative correlation

• r = 0.896, weak positive correlation

• r = -0.896, weak negative correlation

Using the linear regression equation y = -375.4x + 8052.2, how many department stores are predicted to be in the United States in 2022, where x represents years since 2016?

• Approximately 5,800 stores

• Approximately 6,200 stores

• Approximately 7,100 stores

• Approximately 7,900 stores

Based on the linear regression equation y = -375.4x + 8052.2 (where x is years since 2016), in what year would the number of department stores in the United States be expected to reach approximately 4,000?

• 2025

• 2026

• 2027

• 2028