What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars)and x = size of
The diamond (in carats). The simple linear regression for the analysis is shown below: Least Squares Linear Regression of PRICE
Predictor

Interpret the coefficient of determination for the regression model.
A) There is sufficient evidence to indicate that the size of the diamond is a useful predictor of the price of a diamond when testing at alpha $= 0.05$.
B) For every 1-carat increase in the size of a diamond, we estimate that the price of the diamond will increase by $\$ 1117.56$.
C) We expect most of the sampled diamond prices to fall within $\$ 2235.12$ of their least squares predicted values.
D) We can explain $89.25 \%$ of the variation in the sampled diamond prices around their mean using the size of the diamond in a linear model.

Question

What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars)and x = size of
The diamond (in carats). The simple linear regression for the analysis is shown below: Least Squares Linear Regression of PRICE
Predictor

Interpret the coefficient of determination for the regression model.
A) There is sufficient evidence to indicate that the size of the diamond is a useful predictor of the price of a diamond when testing at alpha $= 0.05$. 
B) For every 1-carat increase in the size of a diamond, we estimate that the price of the diamond will increase by $\$ 1117.56$. 
C) We expect most of the sampled diamond prices to fall within $\$ 2235.12$ of their least squares predicted values. 
D) We can explain $89.25 \%$ of the variation in the sampled diamond prices around their mean using the size of the diamond in a linear model.

Quizplus · Accepted Answer

The Answer of What is the relationship between diamond price and carat size? 307 diamonds were sampled and a straight-line relationship was hypothesized between y = diamond price (in dollars)and x = size of
The diamond (in carats). The simple linear regression for the analysis is shown below: Least Squares Linear Regression of PRICE
Predictor

Interpret the coefficient of determination for the regression model.
A) There is sufficient evidence to indicate that the size of the diamond is a useful predictor of the price of a diamond when testing at alpha $= 0.05$. 
B) For every 1-carat increase in the size of a diamond, we estimate that the price of the diamond will increase by $\$ 1117.56$. 
C) We expect most of the sampled diamond prices to fall within $\$ 2235.12$ of their least squares predicted values. 
D) We can explain $89.25 \%$ of the variation in the sampled diamond prices around their mean using the size of the diamond in a linear model.

What Is the Relationship Between Diamond Price and Carat Size =0.05= 0.05=0.05

What Is the Relationship Between Diamond Price and Carat Size $= 0.05$