Your teacher surveyed the class to determine the number of hours that each student spent on social media. Your teacher created a table and scatterplot graph that displayed the number of hours and the average final grade based on the hours. The trend line (equation) for the data is y=−7.2x+98.9. Interpret the slope. How many points does the average final grade decrease for 1 hour on social media?(1 point)
Two-Way Tables Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the table to answer the question.
Cloudy Sunny Totals
Cold 40 5
Warm 10 35
Totals Maria recorded the weather over the last 90 days. How would you fill in the totals in the two-way table?(2 points)
Cloudy Sunny Totals
Cold 40 5
Warm 10 35
Totals
The totals for each row and column in the two-way table are:
Cloudy Sunny Totals
Cold 40 5 45
Warm 10 35 45
Totals 50 40 90
Therefore, the correct way to fill in the totals for the two-way table is shown above.
The slope of the trend line is -7.2. This means that for every additional hour spent on social media, the average final grade decreases by 7.2 points.
Your teacher surveyed the class to determine the number of hours that each student spent on social media. Your teacher created a table and scatterplot graph that displayed the number of hours and the average final grade based on the hours. The trend line (equation) for the data is y=−7.2x+98.9. Interpret the y-intercept. What is the average grade if a student was on social media for 0 hours?(1 point)
The y-intercept of the trend line is 98.9. This means that if a student did not spend any time on social media (x=0), the average final grade would be 98.9%.
Using Trend Lines Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Your company asked you to analyze the investment of their advertising campaign. You create a scatterplot graph of the advertising dollars spent on advertising, x, and compare it to the revenue generated, y, for January to December of the campaign. You find the equation of the trend line to be y=2.53x+43. Predict the revenue generated if your company invests $200.00 in advertising. Write the revenue in dollars and cents.(1 point)
The revenue generated for a $200.00 investment in advertising is $
543.00.
To find the predicted revenue generated for a $200.00 investment in advertising, substitute x=200 into the equation y=2.53x+43:
y = 2.53(200) + 43
y = 506 + 43
y = 549
Therefore, the revenue predicted for a $200.00 investment in advertising is $549.00.
You work for a manufacturing company on a production line that manufactures cell phones. You are paid $30 a day plus $0.75 for each phone that you assemble. Predict your wages if you assemble 100 phone in one day, using the equation of the trend line y=0.75x+30, where x is the number of phones assembled in one day and y is the total wages. Write your wages in dollars and cents.(1 point)
Your wages are $
.
Your wages are $105.00.
To find the predicted wages for assembling 100 phones in one day, substitute x=100 into the equation y=0.75x+30:
y = 0.75(100) + 30
y = 75 + 30
y = 105
Therefore, the predicted wages for assembling 100 phones in one day is $105.00.
You work for a manufacturing company on a production line that manufactures cell phones. You are paid $20 a day plus $1.50 for each phone that you assemble. Interpret the slope and y-intercept of the equation of the trend line y=1.50x+20.(1 point)
Responses
The slope means that, for every phone assembled, you receive $1.50. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every phone assembled, you receive $1.50. The , y, -intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every 20 phones assembled, you receive $1.50. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every 20 phones assembled, you receive $1.50. The , y, -intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every phone assembled, you receive $20. The y-intercept means that you receive $1.50 a day regardless of the number of phones produced.
The slope means that, for every phone assembled, you receive $20. The , y, -intercept means that you receive $1.50 a day regardless of the number of phones produced.
The slope means that, for every 1.50 phones assembled, you receive $1. The y-intercept means that you receive $20 a day regardless of the number of phones produced.
The slope means that, for every 1.50 phones assembled, you receive $1. The , y, -intercept means that you receive $20 a day regardless of the number of phones produced.