Ms. Gilford's Math - Home



Name: _______________________________________382905027622500Least Squares Regression Line Practice1. Candy calories Here are data from a sample of 12 types of movie candy. Use technology to calculate the equation of the least-squares regression line relating y = calories to x = amount of sugar (in grams). 4524375298452. Big TV prices Here are prices and screen sizes (in inches, measured diagonally) for 7 different sizes of one brand of LED HD television. Use technology to calculate the equation of the least-squares regression line relating y = price to x = screen size. 3. Tall husbands, tall wives? The mean height of married American women in their early 20s is 64.5 inches and the standard deviation is 2.5 inches. The husbands of these women have a mean height of 68.5 inches, with a standard deviation of 2.7 inches. The correlation between the heights of husbands and wives is about r = 0.5. Find the equation of the least-squares regression line for predicting a husband’s height from his wife’s height for married couples in their early 20s. Show your work. 4. Premier league soccer In professional soccer, it’s all about scoring goals. The number of games that a team wins is more strongly correlated with the number of goals the team scores than with the number of goals the team surrenders to its opponent. For the 2013–2014 Premier League in England, the mean number of wins per team was 15.1, with a standard deviation of 6.73. The mean number of goals scored by a team for the entire season was 52.6, with a standard deviation of 20.62. The correlation between these two variables was r = 0.889. Find the equation of the least-squares regression line for predicting the number of wins from number of goals scored. Show your work. 386715005. Reaction times and memory Is there a relationship between a student’s score in a memory game and his or her reaction time? A random sample of 14 high school students was selected. The scatterplot shows the relationship between scores in a memory game and reaction times (in seconds), along with the least-squares regression line. Two of the students are identified on the scatterplot as Student A and Student B. (a) Describe the effect Student A has on the equation of the least-squares regression line. (b) Describe the effect Student B has on the equation of the least-squares regression line.6. Crossbills and food An ecologist studying breeding habits of a bird called the common crossbill in different years finds that there is a linear relationship between the number of breeding pairs of crossbills and the abundance of spruce cones. In the table, statistics are given for 8 years of measurements, where x = average number of cones per tree and y = number of breeding pairs of crossbills in a certain forest. The correlation between x and y is r = 0.968. Find the equation of the least-squares regression line for predicting the number of crossbill pairs from the average number of cones per tree. ................
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