Answers SSCR 26 Math Essentials BRegression Models

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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

It increases the mean value of the prizes.

It decreases the mean value of the prizes.

It increases the median value of the prizes.

It decreases the median value of the prizes.

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The graph shows a distribution of data.

The data has a standard deviation of 0.1.

The mean of the data is greater than 0.5.

A value of 0.7 is within 1 standard deviation of the mean.

A value of 0.9 is more than 2 standard deviations from the mean.

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 table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

–2.75

0.25

1.75

2.25

The graph shows the exponential regression model for data representing a rabbit population after x years.

The graph of the regression model is limited to whole-number values for x.

The graph of the regression model is limited to whole-number values for y.

The graph of the regression model cannot be used to approximate the population size for year 1.

The graph of the regression model can be used to predict the population size for any number of years in the future.

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

3.2 feet

4.8 feet

5.6 feet

6.8 feet

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

a = 18, b = 34, c = 65

a = 34, b = 18, c = 68

a = 34, b = 68, c = 47

a = 47, b = 18, c = 68

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.

A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.

A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.

A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.

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.

1.5

15.5

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

a = 42, b = 28, c = 33, d = 5, e = 10

a = 42, b = 5, c = 28, d = 33, e = 10

a = 5, b = 42, c = 28, d = 10, e = 33

a = 5, b = 10, c = 28, d = 33, e = 42

The graph represents a distribution of data.

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

The median number of books to a box is 8.

The median number of books to a box is 9.

The mean number of books to a box is 11.

The mean number of books to a box is 12.

When finding the margin of error for the mean of a normally distributed population from a sample, what is , assuming a confidence level of 74%?

0.13

0.26

0.74

0.87

A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers.

The mean will increase, and the median will stay the same.

The median will increase, and the mean will stay the same.

The mean will increase more than the median, but both will increase.

The median will increase more than the mean, but both will increase.

Lawrence performs a survey to determine the average number of minutes of exercise seventh-grade athletes get in one week. He gets a list of sports and the seventh-grade students participating in each sport. He then chooses 10 people from each list to complete the survey. How can Lawrence’s sample be improved to be more representative of the population?

He can choose his sample from all seventh-grade students.

He can choose his sample from a list of students by class rather than by sport.

He can choose his sample from every third person on each list rather than 10 people.

He can choose his sample from a list of all athletes participating in each sport.

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