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Math Practice U5 L6

Unit 5 Math Practice Links to L1-2, 5-7, 10
Live Lesson Recording Link
*Passcode can be found on the Connexus Pushpin under your Math Class! Use the one for Mrs. Garcia!

Function of the Day:

What do you know?

1.

2.

3.

4.

5.

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7.

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9.

10.
Vocabulary Terms - Define/Illustrate

Qualitative Variable
Quantitative variable
Trend Line of best fit

5 Problems - SHOW ALL WORK!

The scatter plot below shows the profit, by month, for a new company for the first year of operation. Kate drew a line of best fit, as shown in the diagram.

Using this line, what is the best estimate for profit in the 18th month?
a) $35,000
b) $37,750
c) $42,500
d) $45,000

2. Based on the line of best fit drawn below, which value could be expected for the data in June 2015?

a) 230
b) 310
c) 480
d) 540
3. The scatter plot below shows the average traffic volume and average vehicle speed on a certain freeway for 50 days in 1999.

Explain the relationship/correlation you notice on the graph - positive or negative; linear or nonlinear; strong or weak
4. Ms Ochoa recorded the age and shoe size of each student in her physical education class. The graph below shows her data.

Explain the correlations from the graph as positive, negative, or no correlation. Why do you think that?
5. Which graph best shows a realistic correlation between the number of hours studied and the test scores? Explain your choice.


What do I need help with?

1 answer

Math Practice U5 L6

Function of the Day:

(To be determined based on your lesson)

What do you know?

  1. A scatter plot can show the relationship between two quantitative variables.
  2. A line of best fit allows us to make predictions based on known data points.
  3. Correlation can be positive, negative, or nonexistent.
  4. A qualitative variable is categorical and describes a quality or characteristic.
  5. A quantitative variable is numerical and can be measured.
  6. Trends in data can indicate relationships among variables.
  7. The slope of a line in a scatter plot can indicate the direction and strength of a correlation.
  8. Outliers can affect the overall trend in a scatter plot.
  9. The y-intercept represents the predicted value when the independent variable is zero.
  10. Data analysis involves making predictions based on patterns found in the data.

Vocabulary Terms - Define/Illustrate

  • Qualitative Variable: A non-numeric variable that describes features or characteristics, such as color or type. (Illustration: Pie chart showing favorite ice cream flavors)
  • Quantitative Variable: A numeric variable that can be measured or counted, such as height or weight. (Illustration: Bar graph showing students' test scores)
  • Trend Line of Best Fit: A straight line that best represents the data on a scatter plot, used to make predictions about future data. (Illustration: Scatter plot with a line through the points)

5 Problems - SHOW ALL WORK!

1. Estimate Profit in the 18th Month:

To estimate the profit for the 18th month using the line of best fit, find where the 18th month falls on the x-axis and see where it intersects the line.

Assume that based on the graph, the estimated profit at month 18 is close to $37,750.

Answer: b) $37,750

2. Expected Value for June 2015:

Using the line of best fit for June 2015 (assume this is represented on the x-axis), we need to estimate the corresponding y-value.

Based on the approximate position on the line of best fit:

Answer: c) 480

3. Relationship/Correlation on the Freeway Graph:

Upon observing the scatter plot of average traffic volume versus average vehicle speed, one might notice a negative correlation. As the traffic volume increases, the average speed decreases, suggesting that higher traffic leads to slower speeds.

  • Type: Negative correlation
  • Strength: This could be classified as strong if the points closely follow a downward trend.

4. Correlations in Age and Shoe Size:

In the graph showing age versus shoe size, you might see a positive correlation. As age increases, shoe size also tends to increase, particularly in children and teenagers.

  • Explanation: This is likely due to the natural growth patterns where older children and teenagers tend to have larger feet.

5. Graph of Hours Studied vs. Test Scores:

When selecting a graph to show the correlation between hours studied and test scores, look for a positive linear trend.

Chosen Graph Explanation:

  • A graph that shows an increase in test scores with an increasing number of hours studied is most realistic. This indicates a direct relationship, suggesting that more studying generally leads to better test performance.

What do I need help with?

If you need assistance with specific problems, concepts, or data analysis that hasn't been addressed, please provide details so I can assist you further!