Let Y = β0 + β1x + E be the simple linear regression model. What is the precise interpretation of the coefficient of determination (R2)? Select one: a. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X. b. It is the proportion of the variation in the response variable Y that is explained by the variation in the explanatory variable X. c. It is the proportion of the variation in the explanatory variable Y. d. It is an estimate of the change in the expected value of the response variable Y for every unit increase in the explanatory variable X.

The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: y-hat = -0.0127 + 0.0180x The above equation implies that:     each beer consumed increases blood alcohol by .0127     on average it takes 1.8 beers to increase blood alcohol content by .01     After consuming 1 beer, blood alcohol equals .0180.     each beer consumed increases blood alcohol by 0.018

The weight (in pounds) and height (in inches) for a child were measured every few months over a two- The equation ŷ = 17.4 + 0.5x is called the least- squares regression line because it year period. The results are displayed in the scatterplot. O is least able to make accurate predictions for the data. A Child's Weight and Height O makes the strongest association between weight and height. 40 O minimizes the sum of the squared distances from the actual y-value to the predicted y-value. 36. O maximizes the sum of the squared distances from the actual y-value to the predicted y-value. 24 20 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 Weight (Pounds) Mark this and return Save and Exit Next Subrmit rch 65°F DELL F2 F3 F4 E5 F6 F7 F8 F9 F10 F11 PriScr F12 Insert %23 %24 & 3. 4 6 8 10 W T Y 6 D F G H J K Height (Inches)

5. The relationship between the number of beers consumed (x) and the blood alcohol content (v) was studied in 20 male students using the least squares regression. The following regression model (equation), was obtained from the study: y = 0.0127 +0.0180x. This equation implies that: a. Each beer consumed increases blood alcohol by 1.27% b. On average it takes 1.8 beers to increase blood alcohol content by 1% c. Each beer consumed increases blood alcohol level by 0.018 d. Each beer consumed increases blood alcohol by an average amount of 1.8%

The weight (in pounds) and height (in inches) for a child were measured every few months over a two- The equation ý = 17.4 + 0.5x is called the least- squares regression line because it year period. The results are displayed in the scatterplot. O is least able to make accurate predictions for the data. O makes the strongest association between weight and height. A Child's Weight and Height 40 O minimizes the sum of the squared distances from the actual y-value to the predicted y-value. 36 O maximizes the sum of the squared distances from the actual y-value to the predicted y-value. 32 28 24 20 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 4042 Weight (Pounds) Height (Inches)

he least-squares regression equation is y=660.8x +15,627 where y is the median income and x is the ercentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a inear relation between the two variables wvith a correlation coefficient of 0.7527. Complete parts (a) through (d). 55000- 20000- 15 20 25 30 35 40 45 50 55 60 Bachelor's % 適 展 (b) In a particular region, 27.9 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $30,681. ls this income higher than what you would expect? Why? This is lower than expected because the expected income is $ 34,063 (Round to the nearest dollar as needed.) (c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal. Do not round.) %, on average. O A. For every dollar increase in median income, the percent of adults having at least a bachelor's degree is on average. B. For…

he least-squares regression equation is y=660.8x +15,627 where y is the median income and x is the ercentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a inear relation between the two variables wvith a correlation coefficient of 0.7527. Complete parts (a) through (d). 55000- 20000- 15 20 25 30 35 40 45 50 55 60 Bachelor's % 適 展 (b) In a particular region, 27.9 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is $30,681 ls this income higher than what you Would expect? Why? This is lower than expected because the expected income is $ 34,063 (Round to the nearest dollar as needed.) (c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal. Do not round.) %, on average. O A. For every dollar increase in median income, the percent of adults having at least a bachelor's degree is on average. B. For…

The data regarding the production of wheat in tons (X) and the price of the kilo of flour in Ghana cedis (Y) Takoradi some years ago were: a. Fit the regression line for the day using the method of least squares