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(a)
To explain does this graph indicate that students are making satisfactory progress in reading or not.
(a)
Answer to Problem 17E
This graph indicates that students are making satisfactory progress in reading.
Explanation of Solution
To measure progress in reading ability, the students at an elementary school take a reading comprehension test every year. Scores are measured in grade level units. The school principal prepares a report to parents that include a graph showing the mean recording score of each grade. The
(b)
To explain what do you estimate
(b)
Answer to Problem 17E
Correlation between grade and average reading level should be very close to one.
Explanation of Solution
To measure progress in reading ability, the students at an elementary school take a reading comprehension test every year. Scores are measured in grade level units. The school principal prepares a report to parents that include a graph showing the mean recording score of each grade. The scatterplot of average reading level versus grade is given in the question. By looking at the graph in the question, we can say that the points are moving in the upward direction. So, by this we can conclude that we can estimate correlation between grade and average reading level to be very close to one.
(c)
To find out would you expect correlation to be the same, higher or lower.
(c)
Answer to Problem 17E
The correlation would be lower.
Explanation of Solution
To measure progress in reading ability, the students at an elementary school take a reading comprehension test every year. Scores are measured in grade level units. The school principal prepares a report to parents that include a graph showing the mean recording score of each grade. The scatterplot of average reading level versus grade is given in the question.As by looking at the scatterplot we can say that the individual data would show much more scatter and that is why the correlation would be lower.
(d)
To explain what value of the slope of that line would you view as demonstrating acceptable progress in reading comprehension.
(d)
Answer to Problem 17E
The slope of one is used.
Explanation of Solution
To measure progress in reading ability, the students at an elementary school take a reading comprehension test every year. Scores are measured in grade level units. The school principal prepares a report to parents that include a graph showing the mean recording score of each grade. The scatterplot of average reading level versus grade is given in the question. Therefore by looking at the data and the graph, we can say that a slope of one would indicate that for each one-year grade level increase, the average reading level is increasing by year. So, the slope of one of that line would we view as demonstrating acceptable progress in reading comprehension.
Chapter 9 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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