Data for length of the tail (in millimeters) and age (in days) of tadpoles is entered into a statistics software package and results in a regression equation of ŷ = 15 - 1.5x.What is the correct interpretation of the slope if the length of the tail is the response variable and the age is the explanatory variable?The length of the tail decreases by 1.5 millimeters, on average, when the tadpole's age increases by 1 day.The length of the tail increases by 1.5 millimeters, on average, when the tadpole's age increases by 1 day.The length of the tail increases by 15 millimeters, on average, when the tadpole's age increases by 1 day.The length of the tail decreases by 15 millimeters, on average, when the tadpole's age increases by 1 day.

Data for price and thickness of soap is entered into a statistics software package and results in a regression equation of ŷ = 0.4 + 0.2x.What is the correct interpretation of the slope if the price is the response variable and the thickness is an explanatory variable?The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm.The price of the soap decreases by $0.40, on average, when the thickness increases by 1 cm.The price of the soap decreases by $0.20, on average, when the thickness increases by 1 cm.The price of the soap increases by $0.40, on average, when the thickness increases by 1 cm.

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs 3.5 pounds and costs $4.50 per week to feed, while a Beagle weighs 30 pounds and costs $9.20 per week to feed.Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.$1.60 / lb.$0.31 / lb.$0.18 / lb.$5.64 / lb.

Cooper decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches then throws back into the water. After plotting all his data, he draws a line of best fit. What does the slope of the line represent?

What is the significance of the slope of regression in a species – arearelationship?

In a simple regression analysis, the slope represents:A.The estimated value of the dependent variable (Y) when X is zero.B.The point where the regression line intersects the Y-axis.C.The strength of the linear relationship between X and Y.D.The expected change in the dependent variable (Y) for a one-unit change in the independent variable (X).