Two Way Table
Linear Model
Frequencies
Interpreting the slope &
y-intercept
y-intercept
r and r squared
100
According to the table, how many people like snowmobiles and skateboards?
What is 80?
100
Given the scatter plot and the equation, what does the y-intercept mean in this context?
What is the amount of batter life before spending any time on phone?
100
Among states that voted democrat, what proportion were in the west?
Region: Northeast Midwest South West Total
Party: Democrat 9 4 4 8 25
Republican 0 8 12 5 25
Total 9 12 16 13 50
What is 8/25 or 0.32?
100
y = 1.25x + 10, where x is the amount of fertilizer in mL and y is the height of the plant (cm). Interpret the y-intercept.
What is, "when zero mL of fertilizer are used, the plant is expected to be 10 cm tall?"
100
Interpret what a correlation coefficient of r = 0.9 means.
What is strong, positive association?
200
Using the table, what percent of people who like skateboards do not like snowmobiles?
What is 36%?
200
Given the scatter plot and the linear equation, what does the slope mean in this context?
What is "As the time spent on the phone increases by 1 hour, the amount of battery life decrease by 3/4 of an hour."?
200
What is the proportion of students with a GPA of 2.0-2.9 given that they had a neutral attitude?
GPA Range
3.0–3.9|2.0–2.9|1.0–1.9|0.0-0.9|Total
Attitude:
Positive: 15 16 2 0 33
Neutral: 5 18 2 0 25
Negative: 3 10 9 2 24
Total: 23 44 13 2 82
What is 18/25 or 0.72?
200
y = 1.25x + 10, where x is the amount of fertilizer in mL and y is the height of the plant (cm). Interpret the slope.
What is, "For every additional mL of fertilizer used, the height of the plant increases by 1.25 cm."?
200
If the correlation coefficient is zero, what does that mean about the association?
What is, there is no association?
300
According to the table, how many people were surveyed?
What is 269?
300
Is the following the best fit, good fit, bad fit? Explain.
What is the Best fit?
300
The table shows results of a poll, asking adults whether they were looking forward to the Super Bowl game, looking forward to the commercials, or didn’t plan to watch. What is the proportion of females who were looking forward to watching the game?
Male Female Total
Game: 279 200 479
Commercials: 81 156 237
Won’t Watch: 132 160 292
Total: 492 516 1008
What is 200/516 or 0.39?
300
Given the interpretations of slope and y-intercept, write the equation of the LSRL: When the length of the paint on a pencil is 0 cm, the weight of the pencil is 2 grams. For every additional cm of paint, the weight of the pencil increases by 1.4 grams.
What is y = 1.4x + 2?
300
What must be true for the correlation coefficient to be -1?
What is The association is VERY strong and the slope is negative?
400
According to the table, what percent of females also prefer baseball?
What is 44%?
400
Which graph shows the most accurate line of best fit?
A.
What is A?
400
A public opinion survey explored the relationship between age and support for increasing the minimum wage. The results are summarized in the two-way table below. What is the frequency of adults who were under 60?
Yes No No Opinion Total
18 to 30: 25 20 5 50
31 to 60: 20 35 20 75
Over 60: 55 15 5 75
Total: 100 70 30 200
What is 125/200 or 0.625?
400
y = 0.41x -14 where x is temperature (degrees F) and y is the number of people at the park (in 1000s). Interpret the y-intercept.
What is, "When the temperature is 0 degrees Fahrenheit, there are -14000 people in the park. (Doesn't make sense)"?
400
Given an LSRL of y = -0.5x + 17 and an R-squared value of .68, determine and interpret the correlation coefficient. Round to the nearest hundredth.
What is r = -0.82? This means there is a strong, negative association.
500
According to the table, of the people who prefer basketball, what percent are male?
What is 48%?
500
What is the slope for the line of best fit?
What is 3/4?
500
A public opinion survey explored the relationship between age and support for increasing the minimum wage. The results are summarized in the two-way table below. What is the frequency of adults over 60 who had an opinion?
Yes No No Opinion Total
18 to 30: 25 20 5 50
31 to 60: 20 35 20 75
Over 60: 55 15 5 75
Total: 100 70 30 200
What is 70/75 or 0.9333?
500
y = 0.41x -14 where x is temperature (degrees F) and y is the number of people at the park (in 1000s). Interpret the slope.
What is, " For every additional degree F in temperature, the number of people at the park increases by 410. When the temperature increases by 1 degree F, the number of people at the park increases by 410.
500
y = 1.25x + 10, where x is the amount of fertilizer in mL and y is the height of the plant (cm). r = 0.92 Determine and interpret R-squared.
What is R-squared = 0.8464? About 85% of the variability in plant height can be explained by a linear relationship with the amount of fertilizer used.