1.The variables study time and grade average have a correlation of 0.87. Explain what this
means. The variables education level and poverty level have a correlation of -0.71. Explain what
this means. [5]
Answer:
In this case, the correlation between study time and grade average is 0.87.
This positive correlation is close to 1, which indicates a strong positive linear relationship
between study time and grade average, as study time increases, the grade average also tends to
increase.
The closer the correlation coefficient is to 1, the stronger the relationship between the variables.
Therefore, there is a very strong positive correlation between study time and grade average (
r
=
0.87). This suggests that the longer the study time, the higher the grade average.
B.The correlation between education level and poverty level, which is -0.71.
This negative correlation coefficient, close to -1, indicates a strong negative linear
relationship between education level and poverty level. As education level increases, poverty
level tends to decrease.
Therefore, there is a strong negative correlation between education level
and poverty level (
r
= 0.71). This implies that the higher the education level, the lower the
poverty level.
2. Tiger Woods played 10 rounds of golf with his son, Charlie last month. His scores were:
67,68,65,71,73,68,70,72,64, and 62. Find the mean, median, and mode of Tiger’s scores. [5]
Answer: The scores are: 67, 68, 65, 71, 73, 68, 70, 72, 64, and 62.
To find the mean, we sum up all the scores and divide by the total number of scores. So, the
mean of Tiger Woods' scores is 69.
To find the median, we arrange the scores in ascending order and find the middle value. The
median of Tiger Woods' scores is 68.
The mode is the score that appears most frequently. In this case, there is no score that appears
more than once, so there is no mode.The absence of a mode tells us that there wasn't a score that
Tiger Woods hit more frequently than others.
3. The regression model below examines factors that impact the DV home sale price among
recently sold homes in a suburban community. The IV is total rooms within the home, and the
