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13. The following table shows the age (in months) and the number of hours slept in a day of 10 infants. -10 Age, x 1 8 9 10 Hours slept, y 18.5 12.5 10.5 11 4 2 3 17 16.2 14.8 a.) Draw a scatterplot of the data. Label each axis with a scale. Dots can be approximately located. y 20 18 HRS Slept LE NOAST 5 13.7 6 13 7 12

13. The following table shows the age (in months) and the number of hours slept in a day of 10 infants. -10 Age, x 1 8 9 10 Hours slept, y 18.5 12.5 10.5 11 4 2 3 17 16.2 14.8 a.) Draw a scatterplot of the data. Label each axis with a scale. Dots can be approximately located. y 20 18 HRS Slept LE NOAST 5 13.7 6 13 7 12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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12. a. Would the correlation between the age of a child and the number of vocabulary words they know be positive, negative, or would there be no correlation? Explain. b. Would the correlation between the hours of partying the night before an exam one does, and the final exam grade be positive, negative, or would there be no correlation? Explain. c. A study was run on the pounds of cheese someone eats per year, and their level of happiness. It turns out that the two are positively correlated. Give some examples of lurking variables. n=10 13. The following table shows the age (in months) and the number of hours slept in a day of 10 infants. Age, x 8 9 10 1 2 18.5 17 Hours slept, y 12.5 10.5 11 3 4 5 6 16.2 14.8 13.7 13 a.) Draw a scatterplot of the data. y 20 Label each axis with a scale. 18 Dots can be approximately located. HRS Slept 1/6 ه دوره 2 - 2 0 ● 24 7 12 Age xx 10 12
Transcribed Image Text:12. a. Would the correlation between the age of a child and the number of vocabulary words they know be positive, negative, or would there be no correlation? Explain. b. Would the correlation between the hours of partying the night before an exam one does, and the final exam grade be positive, negative, or would there be no correlation? Explain. c. A study was run on the pounds of cheese someone eats per year, and their level of happiness. It turns out that the two are positively correlated. Give some examples of lurking variables. n=10 13. The following table shows the age (in months) and the number of hours slept in a day of 10 infants. Age, x 8 9 10 1 2 18.5 17 Hours slept, y 12.5 10.5 11 3 4 5 6 16.2 14.8 13.7 13 a.) Draw a scatterplot of the data. y 20 Label each axis with a scale. 18 Dots can be approximately located. HRS Slept 1/6 ه دوره 2 - 2 0 ● 24 7 12 Age xx 10 12
b.) Approximate the correlation coefficient. c.) The regression equation is: y = -0.8521x + 18.607. Replace the variables in the equation with the variable names "age" and "hours slept." d.) Use the regression equation to predict the amount of sleep for an infant that is 6 months old. Show your work. Use the regression equation to predict how many hours of sleep a 1.5 year old would need. Show your work. e.) Why is this correlation negative? 14. 5 students were asked to record their GPA from High School and College. The results are below: Student HS GPA College GPA 3.8 A B C D E 2 3 3.1 4 5 4.0 2.5 3.3 2.8 2.2 Sample x-H.S. GPA y- College GPA 1 Sum= 3.5 1.9 2.5 a. Find the correlation coefficient r by filling in the following chart and using the formula: y² Sum= Sum= x² Sum= Sum= xy
Transcribed Image Text:b.) Approximate the correlation coefficient. c.) The regression equation is: y = -0.8521x + 18.607. Replace the variables in the equation with the variable names "age" and "hours slept." d.) Use the regression equation to predict the amount of sleep for an infant that is 6 months old. Show your work. Use the regression equation to predict how many hours of sleep a 1.5 year old would need. Show your work. e.) Why is this correlation negative? 14. 5 students were asked to record their GPA from High School and College. The results are below: Student HS GPA College GPA 3.8 A B C D E 2 3 3.1 4 5 4.0 2.5 3.3 2.8 2.2 Sample x-H.S. GPA y- College GPA 1 Sum= 3.5 1.9 2.5 a. Find the correlation coefficient r by filling in the following chart and using the formula: y² Sum= Sum= x² Sum= Sum= xy
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