AP Stat's Unit 2
(b) Identify the intercept of the least-squares regression line and interpret it in the context of the data.
The least-squares regression line is 15.
(c) What is the value of the correlation coefficient for the sample?
The value of the correlation coefficient for the sample is 12.29%.
(d) If the point representing 6464 wins and attendance of 40,78640,786 people per game is removed from the set of data and a new regression analysis is conducted, how would the following be impacted? Explain your reasoning. (i) The slope of the least-squares line: (ii) The correlation coefficient:
(i) The slope of the least-squares line is 7,377. (ii) The correlation coefficient is 9.16%.
(a) Is a linear model appropriate to use for these data? Justify your response by referencing the residual plot.
A linear model is appropriate to use for these data.
(b) Explain why it is not reasonable to use the least-squares regression model to predict attendance per game for 00 wins
It is not reasonable to use the least-squares regression model to predict attendance per game for 00 wins because there should be 0 data for that.
(c) The researchers plan to calculate a 95 percent confidence interval for the population slope. Identify and check the conditions for the appropriate confidence interval for the population slope.
The confidence interval is appropriate for the population slope.
(a) Interpret the slope of the least-squares regression line in context
The slope of the least-squares regression line is about 75.
d) The 95% confidence interval for the population slope was calculated as (0.751,0.947)(0.751,0.947). Based on the confidence interval, do the data provide convincing statistical evidence that foragers with a central home location move faster the farther they are from home? Justify your response.
We are 95% confident for that the confidence interval (0.751,0.947)(0.751,0.947) provides convincing statistical evidence that foragers with a central home location move faster the farther they are from home.
