Question 5: Scatter Plots, Correlation and Regression The table shows the average and maximum longevity of various animals in captivity. The average longevity is used to determine the maximum longevity. Longevity (years) Avg. 12 25 15 8 35 40 41 20 Max. 47 50 40 20 70 77 61 54 a. Use StatCrunch to draw the scatterplot and a line of best fit. Attach the StatCrunch printout of the scatterplot and determine the relationship if any exists in the data. (4 Points) b. Write the regression equation for the line of best fit. (2 Points) c. Identify the slope and the y-intercept and interpret the meaning of slope and y-intercept. (2 Points) d. Predict the maximum longevity for an animal with an average longevity of 33 years. (2 Points)
Added by Holly R.
Close
Step 1
** Show more…
Show all steps
Your feedback will help us improve your experience
Joshua Argo and 82 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Obtain the least-squares regression line and the correlation coefficient. Make a statement about the correlation. Gestation Period and Life Span of Animals (Check your book to see table)
Linear Functions, Equations, and Inequalities
Equations of Lines and Linear Models
Sri K.
$(a)$ find the equation of the regression line, (b) construct a scatter plot of the data and draw the regression line, (c) construct a residual plot, and $(d)$ determine whether there are any patterns in the residual plot and explain what they suggest about the relationship between the variables. \begin{tabular}{|cc|c|c|c|c|c|c|c|c|} \hline$x$ & 38 & 34 & 40 & 46 & 43 & 48 & 60 & 55 & 52 \\ \hline$y$ & 24 & 22 & 27 & 32 & 30 & 31 & 27 & 26 & 28 \\ \hline \end{tabular} :
Correlation and Regression
Linear Regression
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
400,000+
Students learning Statistics & Probability with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
