Alg 1 M1 U2

Least Squares Line (line of best fit, in slope-intercept form), do not include spaces, round to 3 decimals for each term:

Value of Correlation Coefficient (r=__________, round to 3 decimals):

Circle the words below that describe the correlation between resting

heart rate and weekly minutes of exercise. (Select all that apply)

What is the slope of your least squares line? (Round to the nearest thousandth)

Interpret the results of the data given the context of the problem

Which of the following is the correct interpretation for the y-intercept of your least squares line?

Does the y-intercept of your least squares line make sense in the context of the problem? Explain.

Use the equation of the line of best fit (not the graph alone) to predict daily ice cream sales (in dollars) on a day when the maximum temperature is 77 degrees Fahrenheit. Round your answer to the nearest thousandth.

You must show your work to receive credit!

Assume the actual daily ice cream sales were $548.50 on the day when the maximum temperature was 77 degrees Fahrenheit. Compare this to your previous answer from Question 5 and calculate the residual.

Round your answer to the nearest thousandth. You must show your work to receive credit!

Use either the graph or the equation of the line of best fit to predict maximum temperature on a day when ice cream sales were $460. (For full credit: If you use the graph, mark it to show how you found your answer; if you use the equation, show your work below the graph using a text box.)

Using the information from question #10 answer the following: Does the y-intercept of your least squares line make sense in the context of the problem? Explain.

Very Strong Correlation

Strong Correlation

Weak Correlation

Weakest Correlation

Assume you entered data about x and y into Desmos and found a least squares regression line (a line of best fit). You then check the residuals resulting from that line. Which of the residual plot below would best indicate that the line is a good fit for the data?

Natalie says: I’m thinking of a point that has a residual of 2. Which point is Natalie thinking of?

Which of the following equations most closely matches the line of best fit on the scatter plot shown above?

Before you start working, you have $20. When you start working, you make $15 for every 1 hour you work.

Which of the following equations represents this scenario?

If the correlation coefficient is − 0.897, which of the following statements must be true? Select all that apply

This graph shows a negative linear correlation.

This graph shows a nonlinear exponential relationship.

This graph shows a positive linear correlation.

This graph shows a nonlinear quadratic relationship.

This graph shows no correlation.

Ice cream sales increase steadily as the temperature increases.

As the temperature increases the sales of hot chocolate decrease.

The number of DVD players sold took a while to increase, then increased each year and finally has reached a level period with little change in the number sold.

There doesn’t seem to be any pattern in the cost of toys produced versus toy sales in those countries.

Which of the following interpretations is correct?

If you added the point (85, 103) to the data set shown in this scatterplot, how would this influence the line of best fit?

If there were 120 rain days, based on the line of best fit, what would you expect total rainfall to be?

What is the value of the residual for Point A?

Which of the following are true? (Select all that apply)

Write an equation to represent the situation.

How much would you pay to use the scooter for 4 hours?