Source df MS Number of obs 4,118 F(3, 4114) 547.19 Model 43529.8448 14509.9483 Prob > F 0.0000 Residual R-squared Adj R-squared 109091.595 4,114 26.5171597 0.2852 0.2847 Total 152621.44 4,117 37.0710323 Root MSE 5.1495 t P>|t| wage Coef. Std. Err. [95% Conf. Interval] educ 1.127698 .0341123 33.06 0.000 1.060819 1.194576 age .1195645 .0071629 16.69 0.000 .1055212 .1336077 woman -2.521433 .1606725 -15.69 0.000 -2.836438 -2.206428 cons -8.213757 .5272217 -15.58 0.000 -9.247396 -7.180117

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D).” Duration DD is measured in minutes, and depth D is in meters. The report then says, “The regression equation for this bird is, DD=2.69+0.0138D.is, DD=2.69+0.0138D.” What is the slope of the regression line? Give your answer to four decimal places.What does this slope says about this penguin's dives ?

Analysis of the relationship between the fuel economy (combinedMPG) and displacement (in liters) for 1262 models of cars produces the regression model combinedMPH = 33.472 - 3.317Displacement. Explain what the slope means.

What does it mean for a regression line to be the "best-fit" line.

please assist, the question states to "click on the datafile logo to reference the data" but the data is listed already in the question. when clicking that link, it opens up the same information in excel so please do not reject because the data is there already.

Scenario: A medical researcher wishes to see whether there is a relationship between a person's age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person's blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Respond to the following prompts in your initial post: 1. Identify the explanatory variables and response variable for the data. 2. What is the multiple regression equation for the data? 3. What is the coefficient of determination? 4. If a person 50 years old with a cholesterol of 220 is selected, what is that…

At the end of the semester the lecturer runs a regression using the student's final grade as the dependent variable and a male dummy (equals one if the student is male and equals zero otherwise) as the sole explanatory variable. If the estimated intercept is 67 and the estimated coefficient on the male dummy is -4 then what is the estimated mean mark for males in this course?

The table gives data on the price is charged for a beer (per ounce ) and for a hot dog at Major League Baseball stadiums. The correlation between the prices is r=0.21. What proportion of the variation in hot dog prices is explained by the least squares regression of hot dog prices on beer prices (per ounce)?

Below is some of the regression output from a regression of the amount various customers paid for a new car (expressed in dollars) versus the age of the customer (expressed in years), the number of previous cars the customer had purchased from the dealership in the past, a dummy variable indicating the gender of the customer (=1 for a Man and = 0 for a woman), and an interactive term the multiplies the age of the customer with the gender dummy variable.  Regression Statistics           Multiple R 0.963           R Square             Adjusted R Square             Standard Error             Observations 20                         ANOVA               df SS MS F Significance F Regression   24686354.49 6171589 47.8 2.3289E-08   Residual     129243       Total   26625000…

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D).” Duration DD is measured in minutes, and depth D is in meters. The report then says, “The regression equation for this bird is DD=2.69+0.0138D. (a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.) slope =     (b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your answer rounded to four decimal places.) increase in duration =   minutes (c) According to the regression line, how long does a typical dive to a depth of 168 meters last? (Enter your answer rounded to three decimal places.) length…