Consider the sample regression equation that predicts the calorie content in a hamburger (in cals) using the fat content (in grams) yi = 310+14.4 (fati) + ei Which of the following statements is correct regarding the estimated equation?   a)  a.   the equation is expressing a non-linear relationship between fat and calories   b)  b.   a hamburger with 310 calories has zero fat content      c)  c.   a hamburger’s calorie content rises by about 14.4 grams for every additional gram of fat   d)  d.   the ei is called the stochastic error term, and is a representation of those factors that cause fat content that the regression is not accounting for

C) If Ariel converted her variables into standard deviation units and then computed her regression equation, what would her slope and intercept be?

Which of the following denotes the slope or the regression coefficient for X?       A) The term a       B) The term b       C) The error term       D) The correlation coefficient, r

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.8 8.2 6.9 3.6 2.5 2.8 2.6 0.4 14 11.3 10.2 7.4 6.5 6.3 5.9 4.5 x thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equationý = 0.85x + 4.12. Use this equation to answer the following; %D A) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer = Nearest whole value. B) How many murders per 100,000 residents can be expected in a state with 1 thousand automatic weapons? Nearest whole value Answer =

Range of ankle motion is a contributing factor to falls among the elderly. Suppose a team of researchers is studying how compression hosiery, typical shoes, and medical shoes affect range of ankle motion. In particular, note the variables Barefoot and Footwear2. Barefoot represents a subject's range of ankle motion (in degrees) while barefoot, and Footwear2 represents their range of ankle motion (in degrees) while wearing medical shoes. Use this data and your preferred software to calculate the equation of the least-squares linear regression line to predict a subject's range of ankle motion while wearing medical shoes, ?̂ , based on their range of ankle motion while barefoot, ? . Round your coefficients to two decimal places of precision. ?̂  = A physical therapist determines that her patient Jan has a range of ankle motion of 7.26°7.26° while barefoot. Predict Jan's range of ankle motion while wearing medical shoes, ?̂ . Round your answer to two decimal places. ?̂ = Suppose Jan's…

eat out or in The overall change in the consumer price index is a weighted average of changes in various categories. on november 19, 2011 the boston globe reported the data displayed in figure 5.7.  the change in the CPI for food is a weighted average of the change in the cost of food at home and the change in the cost of food away from home. find the weights.

The following questions are based on the graph below: If the mean of weight is 69.151 kg and the standard deviation is 13.359 kg and the mean of the height is 171.16 cm and the standard deviation is 9.41 cm. The correlation coeffient is 0.716. a) Find the linear regression equation to predict the weight b) Explain the meaning of the slope c) Find the coefficient of determination d) Explain the meaning of the coefficient of determination.