The following table shows the annual income, in dollars, and amount spent on vacation, in dollars, for a sample of 8 families.
1 answer:
Answer:
a. The scatterplot is included.
b. There is a Positive Correlation!
c. The correlation coefficient computes to be 0.9219
Step-by-step explanation:
a.
To create the scatter plot:
- Open a Google Sheets document or an Excel file on your device.
- Populate columns B and C with the Income and Vacation data as specified.
- Select the data, then click on insert CHART.
- Choose the Scatter Chart format.
- Click OK.
A scatter plot representing your data should appear as shown.
b.
- Open a spreadsheet via Google Sheets.
- Double-click on your scatter plot.
- In the right panel, select the Customize option, and proceed to Series.
- Check the box for the Trend line.
- From the trend line, it is clear that the variables exhibit a positive correlation.
- An increase in income corresponds to an increase in vacation spending.
c. The correlation coefficient can be calculated as follows:
- Access an empty cell in your sheet and input the formula
- "=CORREL((y-axis range),(x-axis range))"
- Hit ENTER.
- According to our Google Sheets calculations, a positive correlation exists between the variables, and the correlation coefficient equals 0.9219.
- This correlation coefficient,r can also be calculated manually:
- Let x stand for income, and y for vacation, and scale all values down by 100 for easier calculations:
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Response:
Step-by-step explanation:
Information given:
Objective:
Calculate the maximum and minimum values
The max value is found as follows:
The min value is identified as follows:
762,508 expressed in expanded form with exponents is:
Solution:
We need to write 762,508 using expanded notation with exponents.
Expanded form indicates how to represent numbers to highlight the individual digit values.
Displaying 762508 in Expanded format
Let's determine the positional values of each digit:
The concept of place value signifies the worth assigned to each digit based on its location.
For 7, the place value is 700,000
In 762508, the digit 7 is located in the hundred-thousands position.
For 6, the place value is 60,000
In 762508, the digit 6 occupies the ten-thousands position.
For 2, the place value is 2,000
In 762508, 2 is in the thousands position.
For 5, the place value is 500
In 762508, 5 is placed in the hundreds position.
For 0, the place value is 0 x 10 = 0
In 762508, 0 is found in the tens position.
For 8, the place value is 8
In 762508, 8 is positioned in the units place.
Thus, the expanded form is:
700,000 + 60,000 + 2,000 + 500 + 0 + 8
Expressed with exponents, it can be written as: