) Make a linear model for the following data. (Enter your answer in terms of x.) x 1 5 9 13 y 13 20 27 34

Q: R2.38. Gasoline Since clean-air regulations have dictated the use of unleaded gasoline, the supply…

A: Given information: Year Gallons 1984 150 1988 124 1992 104 1996 76 2000 50

Q: Based on the Scatterplot and the calculated value of r, write a comment to explain in a sentence the…

A: As the correlation coefficient is closer to +1, it indicates that there is strong positive…

Q: What is the slope-intercept equation for the linear function represented by the table? O A. OB. C. X…

A: Explaination of the answer is as follows

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: x = thousands of automatic weaponsy = murders per 100,000…

Q: Is there a linear relationship between the distance of a house from a fire station and the fire…

A: 2a.   The value of r(correlation) between X and Y is 0.96098 and it is calculated by Excel function,…

Q: The depth at which whales dive, y, in feet, as related to the duration of the dive, t, in seconds,…

A: GivenThe depth at which whales dive is "y" in feetthe duration of the dive is "t" in secondsLinear…

Q: Participant Age (x) Glucose Level (y) A 54 65 34 54 C 42 43 D 23 34 E 33 45 F 23 54

A: The straight line linear equation,y=a+bxwhere, a=intercept of the line             b=slope of the…

Q: Participant Age (x) Glucose Level (y) A 76 88 B 56 97 54 56 D 45 47 E 67 65 F 54 67

A: Solution: The given data is

Q: When Melanie left her house in the morning, her cell phone battery was partially charged. Let B…

A:

Q: The table and scatter plot show the time spent texting, x, and the time spent exercising, y, by each…

A: Regression equation usually used to predict the value. It is the equation of independent and…

Q: x 1 3 7 5 6 8 3 y 12 24 45 34 33 51 15   Use your calculator to generate a scatter plot of the…

A: The data shows the x and y variable which contains 7 data values.

Q: Christopher just lit a new candle and then let it burn all the way down to nothing. Let L represent…

A: At 1 hour, 10 hrs and 11.5 hrs, the length of candle was 17 units, 8 units and 6.5 unit…

Q: The following scatterplot shows the relationship between the amount of money spent (budget) and the…

A: Here, from the given scatter plot we have to identify the correct option

Q: Due The points (– 5, 2) and (5, 52) satisfy a linear relationship between two variables, x and y. a.…

A: The points (-5, 2) and (5, 52) satisfy a linear relationship between two variables sand y. So,…

Q: Scottish Hill Climb races We want to predict the record time for men in a Scottish Hill Climb race.…

A: Regression Analysis: Regression analysis is a numerical process of determining which of those…

Q: variables

A: Given: X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1…

Q: Below is data for two variables, X and Y.  Answer the questions that follow.  X Y X-MX Y-MY (X-MX)2…

A: Given values of X and Y are x y 3 3 4 3 6 4 7 6

Q: For data with evenly spaced inputs, if the first differences are constant then a linear model is…

A: If yt is the value of y series at time t, then the first difference of y at time t is given by yt -…

Q: Table A and Table B represent linear relationships.   Based on the information in the tables,…

A: For table A xy312416520624 Since the for each difference between two consecutive number is 4.  Thus…

Q: We want to predict the record time for women in a Scottish Hill Climb race. There are two x…

A: Decision Rule: If p-value ≤ α, then the variable is significant Let alpha=0.05. Term P value…

Q: 24 22 20 18 16 14 12 10 4 1 2 3 4 5 a. Plot the next 2 points on the graph that follow the pattern.…

A: Given:- Given graph of a pattern of numbers where V is a function of n. The first point is (0, 1).…

Q: The table below lists the number of homes sold by a real estate company in 2010 and 2015. Let t =…

A: a.We need to write a linear model,   n(t)= mt + b  Given, n(0)=200 implies,  m×0+b=200 ⇒ b=200And,…

Q: Q          72        63        54        45        36        27        18        9          0  P…

A: A linear regression model corresponds to a linear regression model that minimizes the sum of squared…

Q: elow is data for two variables, X and Y.  Answer the questions that follow.  X Y X-MX Y-MY (X-MX)2…

A: From the given information, X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3…

Q: The data below represents how much people use their air conditioner and what their electricity bill…

A: The independent variable is bill amount. The dependent variable is Air conditioner use. We have to…

Q: Below is data for two variables, X and Y.  Answer the questions that follow.  X Y X-MX Y-MY (X-MX)2…

A: Given, X Y X-MX Y-MY (X-MX)2 (Y-MY)2 (X-MX)(Y-MY) 3 3 -2 -1 4 1 2 4 3 -1 -1 1 1 ___ 6 4 1…

Q: Scottish Hill Climb races We want to predict the record time for men in a Scottish Hill Climb race.…

A: The objective is to identify the independent variable (i.e., the predictor variable), which may be…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.