Question
1. Suppose Isabella has developed the following estimated regression equation for the price of an Edmonton condo, based off square footage size (in square feet).
1. Suppose Isabella has developed the following estimated regression equation for the price of an Edmonton condo, based off square footage size (in square feet). Price = 144000 + 42*(Square Footage) (a) If someone wants to purchase an Edmonton condo with a size of 760 square feet, how much should they expect to pay? Answer: dollars (b) If they want to buy a condo that is 92 square feet bigger, then how much more money should they expect to pay? Answer: dollars (c) Would the intercept be meaningful if this regression represents the average Edmonton condo?
- Yes
- No
2. Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a pitcher's age and how many strikeouts they accumulate in a season. He takes a sample of 8 Blue Jays pitchers with ages between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r=0.6,age=27.7,sage=3.67,strikeout=105.6,sstrikeout=7.44r=0.6,age=27.7,sage=3.67,strikeout=105.6,sstrikeout=7.44 (a) What is the value of b1, the estimated slope? (Round your answer to 3 decimal places, if needed.) Answer: (b) What is the value of b0, the estimated intercept? (Round your answer to 3 decimal places, if needed.) Answer: (c) What is the percent of variation in the number of strikeouts that is explained by age, using linear regression? (Round your answer to 2 decimal places, if needed.) Answer: _________% (d) Can we use this linear regression to predict the number of strikeouts for a player age at 35?
- No, because the correlation coefficient is not 1.
- Yes, because we know the slope and intercept values.
- No, because we are uncertain about the range of the number of strikeouts.
- Yes, because it is a linear relationship.
- No, because we cannot extrapolate.
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