E: MATH 109CCorrelatio Regression_ExerciDescriptive Statistics ExerciQ2 Prapads/Ch%2014-15%20correlation_regression_exercises%20(1).pdf7. A study measures the average annual snowfall (in inches) for 10 cities over the last decadealong with the greatest Earth movement (on the Richter scale) over this same time period. Thestudy included data from five cities in California's San Francisco Bay Area and five cities fromCanada's province of Ontario. The study found a very strong negative correlation between thetwo variables. Does this mean that a strong snowfall will prevent earthquakes? Explain youranswer briefly (identify the type of spurious argument involved and draw a picture to illustrate).8. As the price of gasoline increases many people are considering purchasing gasoline electrichybrids. Are hybrids really different from other cars? We can use scatterplots and correlation toexplore the relationship of variables and see how hybrids fall in these groups. Use the computersoftware of your choice to open the data set "Cars2006."a. Create a scatterplot between the highway and city gas mileage. Illuminate the hybrid carslike the Toyota Prius, Honda Insight, Toyota Highlander Hybrid, Lexus RX400H, andFord Escape Hybrid. Do these cars appear as outliers in the scatterplot?b. If the Toyota Prius and Honda Insight were removed from the scatterplot, would thecorrelation increase or decrease? Explain.c. Create a scatterplot between the highway mileage and engine displacement. Do thehybrids appear as outliers in this scatterplot? Explain.39. Below is a scatternlot of the relationshin betureen the Infont Mortality Rote and the Percent of Correlation & Regression ExercisesChapters 14-151. Which of these are true and which are false? Explain why the false statements are wrong.a. If the slope of the line is 1, then the correlation must also be 1.b. A correlation of 0.8 means that 80% of the points in the scatterplot lie above theregression line.c. If the correlation between two lists of numbers is zero, then there can be no relationshipbetween them.d. For all of the books in the Library of Congress, the correlation between the thickness ofthe books (in inches) and their number of pages would be positive.e. For all of the cars registered in the state of Ohio, the correlation between their fuelefficiency (in miles per gallon) and their weight (in pounds) would be positive.f. If the correlation between height (in inches) and weight (in pounds) for a group of peopleis 0.7, then the correlation between their heights (in centimeters) and their weights (inkilograms) will still be 0.7.g. If the correlation between two variables is negative, then high values of one variable tendto be associated with low values of the other variable.2. If the standard deviation of x is equal to the standard deviation of y then the slope of theregression line relating x and y will be:A. equal to 1.C. equal to the mean of x.B. equal to the correlation.D. equal to the standard deviation of x.Explain your choice.3. Consider the following two correlations:I- The correlation between weight (in pounds) and height (in inches) for all of the babiesborn in Brooklyn, N.Y. this year.The correlation between weight (in kilograms) and height (in centimeters) for all of theMacBook Air

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E: MATH 109CCorrelatio Regression_ExerciDescriptive Statistics ExerciQ2 Prapads/Ch%2014-15%20correlation_regression_exercises%20(1).pdf7. A study measures the average annual snowfall (in inches) for 10 cities over the last decadealong with the greatest Earth movement (on the Richter scale) over this same time period. Thestudy included data from five cities in California's San Francisco Bay Area and five cities fromCanada's province of Ontario. The study found a very strong negative correlation between thetwo variables. Does this mean that a strong snowfall will prevent earthquakes? Explain youranswer briefly (identify the type of spurious argument involved and draw a picture to illustrate).8. As the price of gasoline increases many people are considering purchasing gasoline electrichybrids. Are hybrids really different from other cars? We can use scatterplots and correlation toexplore the relationship of variables and see how hybrids fall in these groups. Use the computersoftware of your choice to open the data set &#34;Cars2006.&#34;a. Create a scatterplot between the highway and city gas mileage. Illuminate the hybrid carslike the Toyota Prius, Honda Insight, Toyota Highlander Hybrid, Lexus RX400H, andFord Escape Hybrid. Do these cars appear as outliers in the scatterplot?b. If the Toyota Prius and Honda Insight were removed from the scatterplot, would thecorrelation increase or decrease? Explain.c. Create a scatterplot between the highway mileage and engine displacement. Do thehybrids appear as outliers in this scatterplot? Explain.39. Below is a scatternlot of the relationshin betureen the Infont Mortality Rote and the Percent of Correlation & Regression ExercisesChapters 14-151. Which of these are true and which are false? Explain why the false statements are wrong.a. If the slope of the line is 1, then the correlation must also be 1.b. A correlation of 0.8 means that 80% of the points in the scatterplot lie above theregression line.c. If the correlation between two lists of numbers is zero, then there can be no relationshipbetween them.d. For all of the books in the Library of Congress, the correlation between the thickness ofthe books (in inches) and their number of pages would be positive.e. For all of the cars registered in the state of Ohio, the correlation between their fuelefficiency (in miles per gallon) and their weight (in pounds) would be positive.f. If the correlation between height (in inches) and weight (in pounds) for a group of peopleis 0.7, then the correlation between their heights (in centimeters) and their weights (inkilograms) will still be 0.7.g. If the correlation between two variables is negative, then high values of one variable tendto be associated with low values of the other variable.2. If the standard deviation of x is equal to the standard deviation of y then the slope of theregression line relating x and y will be:A. equal to 1.C. equal to the mean of x.B. equal to the correlation.D. equal to the standard deviation of x.Explain your choice.3. Consider the following two correlations:I- The correlation between weight (in pounds) and height (in inches) for all of the babiesborn in Brooklyn, N.Y. this year.The correlation between weight (in kilograms) and height (in centimeters) for all of theMacBook Air

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inches) fo atest Earth movement (on the Richter scale) o a from five cities in California's San Francisc e of Ontario. The study found a very strong ne es this mean that a strong snowfall will preven entify the type of spurious argument involved-