Statistics Unit Review

For children between the ages of 18 months and 29 months, there is approximately a linear relationship between height and age. The relationship can be represented by = 64.93 + 0.63x, where y represents height (in centimeters) and x represents age (in months). What does the slope mean in context of the problem?

• Babies grow 0.63 cm every month

• On average, babies grow 0.63 cm every month

• On average, babies grow 64.93 cm every month

• On average, a baby grows one inch every 0.63 month

For children between the ages of 18 months and 29 months, there is approximately a linear relationship between height and age. The relationship can be represented by = 64.93 + 0.63x, where y represents height (in centimeters) and x represents age (in months). What does the intercept mean in context of the problem?

• Babies are 64.93 cm in one month

• On average, babies grow 0.63 cm every month

• On average, babies are 64.93 cm when they are born

• On average, babies are 0.63 cm when they are born

Mr. Nerdly asked the students in his AP Statistics class to report their overall grade point averages and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the least-squares regression line for the data, and its equation is y = 270.45 + 109.42x . Explain the meaning of the slope in context of the problem.

• On average, for each GPA point students score on their SAT Math rises 109.42 points

• On average, students SAT Math score rises 270.45 points for every GPA point

• On average, for every point on the SAT Math score students GPA rises 109.42 points

• On Average, for every point on the SAT Math score students GPA rises 270.45 points

Mr. Nerdly asked the students in his AP Statistics class to report their overall grade point averages and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the least-squares regression line for the data, and its equation is y = 270.45 + 109.42x . Explain the meaning of the intercept in context of the problem.

• On average, if students had a zero GPA their SAT Math score was 109.42

• On average, if students had a zero GPA their SAT Math score was 270.45

• On average, if students had a zero on their SAT Math they had a 270.45 GPA

• On Average, if student had a zero on their SAT Math they had a 109.42 GPA

Mr. Nerdly asked the students in his AP Statistics class to report their overall grade point averages and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the least-squares regression line for the data, and its equation is y = 270.45 + 109.42x . The highlighted dot shows a point for one of the students. What is their predicted score on the SAT Math.

• 587.768

• 670

• 2.9

• 73581.85

Mr. Nerdly asked the students in his AP Statistics class to report their overall grade point averages and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the least-squares regression line for the data, and its equation is y = 270.45 + 109.42x . The highlighted dot shows a point for one of the students. What is their residual?

• 587.768

• 670

• -82.232

• 82.232

Mr. Nerdly asked the students in his AP Statistics class to report their overall grade point averages and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the least-squares regression line for the data, and its equation is y = 270.45 + 109.42x . The highlighted dot shows a point for one of the students. What effect would removing this point have on the correlation coefficient?

• No effect

• Make it stronger

• Make it weaker

• Make it zero

Mr. Nerdly asked the students in his AP Statistics class to report their overall grade point averages and their SAT Math scores. The scatterplot below provides information about his students’ data. The dark line is the least-squares regression line for the data, and its equation is y = 270.45 + 109.42x . The highlighted dot shows a point for one of the students. What effect would removing this point have on the LSRL?

• Decrease the y-intercept and increase the slope

• No effect

• Increase the y-intercept and decrease the slope

• Increase the y-intercept and increase the slope

A regression of the amount of calories in a serving of breakfast cereal vs. the amount of fat gave the following results: Calories = 97.1053 + 9.6525(Fat). Explain the meaning of the slope in context of the problem.

• On average, for each calorie the amount of fat increase 9.6525 grams

• On average, for each calorie the amount of fat increases 97.1053 grams

• On average, for each gram of fat calories increase by 9.6525

• On average, for each gram of fat calories increase by 97.1053

Because elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height by using height from foot to the knee. Here are data (in centimeters) for five elderly men:

Match the scatterplot for the data:

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