For a particular red wine, the following data show the auction price for a 750-milliliter bottle and the age of the wine in June of 2016.

Age (years)	Price ($)
35	256
20	142
29	222
33	255
41	331
26	168
31	209
45	297
34	237
22	182

(a)Develop a scatter diagram for these data with age as the independent variable.

A scatter diagram has a horizontal axis labeled "Age (years)" with values from 0 to 50 and a vertical axis labeled "Price ($)" with values from 0 to 350. The scatter diagram has 10 points. A pattern goes down and right from(20, 308)to(45, 119). The points are scattered moderately from the pattern.

A scatter diagram has a horizontal axis labeled "Age (years)" with values from 0 to 50 and a vertical axis labeled "Price ($)" with values from 0 to 350. The scatter diagram has 10 points. A pattern goes up and right from(20, 142)to(45, 331). The points are scattered moderately from the pattern.

A scatter diagram has a horizontal axis labeled "Price ($)" with values from 0 to 350 and a vertical axis labeled "Age (years)" with values from 0 to 50. The scatter diagram has 10 points. A pattern goes down and right from(119, 45)to(308, 20). The points are scattered moderately from the pattern.

A scatter diagram has a horizontal axis labeled "Price ($)" with values from 0 to 350 and a vertical axis labeled "Age (years)" with values from 0 to 50. The scatter diagram has 10 points. A pattern goes up and right from(142, 20)to(331, 45). The points are scattered moderately from the pattern.

(b)What does the scatter diagram developed in part (a) indicate about the relationship between age and price?

The scatter diagram indicates a positive linear relationship between age and price.The scatter diagram indicates a negative linear relationship between age and price. The scatter diagram indicates a nonlinear relationship between age and price.The scatter diagram indicates no apparent relationship between age and price.

(c)Develop the least squares estimated regression equation. (Letx= age (in years),and lety= price (in $).Round your numerical values to three decimal places.)=

461.424+21.89x

(d)Provide an interpretation for the slope of the estimated equation.

For every additional dollar of price, the age of the wine increases by the amount of the slope.For every additional year of age, the price of the wine increases by the amount of the slope. For every additional dollar of price, the age of the wine decreases by the amount of the slope.For every additional year of age, the price of the wine decreases by the amount of the slope.The slope is the ratio of the average price of the wine in dollars to the average age in years.