The correlation between the height and weight of a teenagers aged 13-18 is found to be about r = 0.6. Suppose we use the height x of a teenager to predict the weight y of the teenager. We can conclude that: - The fraction of variation in weights explained by the least-squares regression line of weight on height is 0.36. - height is generally 60% of a teenager's weight. - about 60% of the time, age will accurately predict weight. - the least-squares regression line of y on x would have a slope of 0.6. - None are correct.
Added by Gregory B.
Close
Your feedback will help us improve your experience
Madhur L and 76 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
The following table shows the mean weight in kilograms of members of a group of young children of various ages. Age (years) Weight (kg) Find the correlation between the age (x) and weight (y). Write the relation between x and y with the linear equation y = ax + b. Use your equation to estimate the mean weight of a child that is four years old. For each one additional year of the child, the regression line predicts that the child's weight will increase. Plot the regression line on white paper with an axis/graph manually.
Meri S.
A recent sample of college students resulted in the following measures of heights and weights. Name Height (cm) Weight (kg) Paul 174 64.1 Siran 184 93.5 Josh 168 81.7 Sanjeev 180 70.4 Wasim 169 56.4 Raisel 185 93.3 Cody 169 62.3 Becky 194 89.5 Cedric 179 82.6 Oleg 160 50.8 Alan 172 61.3 Karina 167 60.2 Orla 190 87.9 a) Use a statistical calculator or spreadsheet to find the coefficient of correlation for the data. For full marks your answer should be accurate to at least three decimal places. Coefficient of correlation: b) Approximately what percent of the variation in weight in the sample is explained by variation in height? For full marks your answer should be accurate to at least one decimal place. Percent Explained: %
Lucas F.
Correlation conclusions I The correlation between Height and Weight as measured on 90 people is $r=0.80$. Explain whether or not each of these possible conclusions is justified: a) When Height increases, Weight increases as well. b) The form of the relationship between Height and Weight is straight. c) There are no outliers in the scatterplot of Weight vs. Height. d) Whether we measure Height in feet or meters, the correlation will still be 0.80 .
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD