A recent study was conducted to explore the relationship between the weight of a car and miles per gallon (gas mileage). A linear relationship was investigated with the weight of a car serving as the response variable. The coefficient of determination (R2) was reported to be 79.6%. a) Interpret this value in terms of the variables in this study.
i. There is a fairly strong positive relationship between car weight and miles per gallon.
ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
iii. Gas mieage can be used to explain about 79.6% of the variability in the weight of the car.
iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
b) For the study, the correlation coefficient R is -0.8921. Interpret this value in terms of the variables in this question.
i. There is a fairly strong positive relationship between car weight and miles per gallon.
ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
iii. Gas mileage can be used to explain about 89.21% of the variability in the weight of the car.
iv. The weight of a car can be used to explain about 89.21% of the variability in gas mileage using a linear relationship.

a.  iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.

Step-by-step explanation:

Here,   independent quantity = weight of a car  

dependent quantity = miles per gallon (gas mileage)

The coefficient of determination (R²) was reported to be 79.6%.

That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.

For the study, the correlation coefficient R is -0.8921.

There is a fairly strong, negative relationship between car weight and miles per gallon.

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61