EP BUSINESS STATISTICS:FIRST COURSE-ACC
8th Edition
ISBN: 9780135179802
Author: Levine
Publisher: PEARSON CO
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A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below,
r= -.863
R2=.74
b= -1.212294
a= 131.176598
10.) How does the presence of more students affect the incidents in the class?
a) as students are added the incidences increase
b) as students are added the incidences decrease
c) the number of students does not affect acting out
d) the number of students caused more incidents
How much of the variability of acting out is explained by the number of students in the class?___________
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardSolve the followingarrow_forwardThe director of a local Tourism Authority would like to know whether a family’s annual expenditure on recreation (y), measured in $000s, is related to their annual income (x), also measured in $000s. In order to explore this potential relationship, the variables x and y were recorded for 10 randomly selected families that visited the area last year. The results were as follows: Week 1 2 3 4 5 6 7 8 9 10 x 41.2 50.1 52.0 62.0 44.5 37.7 73.5 37.5 56.7 65.2 y 2.4 2.7 2.8 8.0 3.1 2.1 12.1 2.0 3.9 8.9 The summary statistics for these data are: Sum of x data: 520.4 Sum of the squares of x data: 28431.42 Sum of y data: 48 Sum of the squares of y data: 343.74 Sum of the products of x and y data: 2858.63 Calculate the least squares line of y on x and draw the line on the scatter diagram.arrow_forward
- The director of a local Tourism Authority would like to know whether a family’s annual expenditure on recreation (y), measured in $000s, is related to their annual income (x), also measured in $000s. In order to explore this potential relationship, the variables x and y were recorded for 10 randomly selected families that visited the area last year. The results were as follows: Week 1 2 3 4 5 6 7 8 9 10 x 41.2 50.1 52.0 62.0 44.5 37.7 73.5 37.5 56.7 65.2 y 2.4 2.7 2.8 8.0 3.1 2.1 12.1 2.0 3.9 8.9 The summary statistics for these data are: Sum of x data: 520.4 Sum of the squares of x data: 28431.42 Sum of y data: 48 Sum of the squares of y data: 343.74 Sum of the products of x and y data: 2858.63 Calculate the sample correlation coefficient. Interpret the findings.arrow_forwardThe director of a local Tourism Authority would like to know whether a family’s annual expenditure on recreation (y), measured in $000s, is related to their annual income (x), also measured in $000s. In order to explore this potential relationship, the variables x and y were recorded for 10 randomly selected families that visited the area last year. The results were as follows: Week 1 2 3 4 5 6 7 8 9 10 x 41.2 50.1 52.0 62.0 44.5 37.7 73.5 37.5 56.7 65.2 y 2.4 2.7 2.8 8.0 3.1 2.1 12.1 2.0 3.9 8.9 The summary statistics for these data are: Sum of x data: 520.4 Sum of the squares of x data: 28431.42 Sum of y data: 48 Sum of the squares of y data: 343.74 Sum of the products of x and y data: 2858.63 (i) Draw a scatter diagram of these data.arrow_forward
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