One day when Terry went to school the temperature outside was –15 degrees Fahrenheit. In Terry's classroom the temperature was 6
2 answers:
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Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 4:</u>
The line of regression is where:
We are given that ,
,
,
, and
, therefore our slope,
, is:
Therefore, the slope of the regression line is 0.16, which can be used along with the values of and
to find the constant
:
This means our final regression line is
<u>Problem 5:</u>
The slope, , means that for every 1 point earned for a student's pre-exam total, their final exam score will increase by 0.16 points for each point they earned on the pre-exam.
<u>Problem 6:</u>
The y-intercept (or constant), , means that if a student's pre-exam total were 0, then they would expect to get a 30.2 on the final exam.
<u>Problem 7:</u>
<u>Problem 8:</u>
The fraction of variability (aka. coefficient of determination), , means that a certain proportion (or percentage) of the variance in the response variable can be explained by the explanatory variable. In context, this means that 36% of the variance in final exam scores can be explained by the pre-exam scores.
Answer:
- The lowest value of the confidence interval is 0.5262 or 52.62%
- The highest value of the confidence interval is 0.5538 or 55.38%
Step-by-step explanation:
Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.
The general expression to apply here is;
where ;
p=sample proportion
n=sample size
z*=value of z* from the standard normal distribution for 95% confidence level
Given;
n=5000
<u>Find p</u>
From the question 54% of people chosen said they did not have children under 18 living at home
<u>To calculate the 95% confidence interval, follow the steps below;</u>
- Find the value of z* from the z*-value table
The value of z* from the table is 1.96
- calculate the sample proportion p
The value of p=0.54 as calculated above
- Find p(1-p)
- Find p(1-p)/n
Divide the value of p(1-p) with the sample size, n
- Find the square-root of p(1-p)/n
- Find the margin of error
Here multiply the square-root of p(1-p)/n by the z*
The 95% confidence interval for the lower end value is p-margin of error
The 95% confidence interval for the upper end value is p+margin of error
Answer:
Step-by-step explanation:
