Geometry - Unit 5 Review

The scatterplot shows the number of minutes Tyler played in his last eight basketball games and the points he scored in each game. Estimate the location of the line of best fit. About how many points would Tyler score if he played for 40 minutes?

• 18 points

• 22 points

• 27 points

• 40 points

Tags

CCSS.5.G.A.2

The scatterplot shows the number of minutes spent reading (x) and the number of pages read (y) by each of seven students last night. Use the labeled points to create a linear model that predicts the number of pages that a typical student reads in x minutes. Which equation represents this linear model?

• $y=\frac{7}{11}x+\frac{29}{11}$

• $y=\frac{7}{11}x+\frac{169}{11}$

• $y=\frac{11}{7}x-\frac{263}{7}$

• $y=\frac{11}{7}x-\frac{43}{7}$

Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. They are both using the same data points to find an equation of the line of best fit: the squirrel population, p, in 2002 and the squirrel population, q, in 2011. Mark is using the year as the x-value, and he represents his data as (2002, p) and (2011, q). Jessica is using the years since 2000 as her x-value, and she represents her data as (2, p) and (11, q). Which statement best describes how their prediction equations compare?

• Their equations have the same slopes and y-intercepts.

• Their equations have different slopes and y-intercepts.

• Their equations have different y-intercepts but the same slopes.

• Their equations have the same y-intercepts but different slopes.

Tags

CCSS.5.G.A.2

For which scatterplot is the correlation strongest?

• 
• 
• 
• 

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

According to the line of best fit, about how many ounces of frozen yogurt can someone purchase for $5?

• 1.5

• 2

• 13

• 15.5

A line of best fit is drawn for the set of points shown on the graph. Which point is an approximate extrapolation for x = 30 from the line of best fit?

• (23, 30)

• (30, 38)

• (44, 30)

• (30, 72)

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground. A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

• According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.

• According to the line of best fit, the object was dropped from a lower height.

• The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.

• The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table. Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?

• 14

• 20

• 45

• 54

The graph represents a distribution of data. What is the mean of the data?

• 5

• 10

• 30

• 50

The graph shows a distribution of data with a standard deviation of 6. Which statement is true about the data point 84?

• It is within 1 standard deviation of the mean.

• It is within 2 standard deviations of the mean.

• It is exactly 3 standard deviations from the mean.

• It is exactly 4 standard deviations from the mean.