The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The following datashows the sweetness of the same type of fruit at different locations (sunshine hours). Fit the data to a simple linearregression model.x: 5, 6, 7, 6, 6, 8, 7, 5.y: 9, 10, 10, 11, 12, 13, 12, 8.Calculate SSE, SST, 2 and R2. And interpret. R².

There are two random variables and , shows the daily sunshine hours and is the sweetness of…

Answered: The sweetness, y, of the fruit is…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.8: Analyzing Functions With Successive Differences

Problem 2BGP

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Does Table 2 represent a linear function? If so, finda linear equation that models the data.
An insurance company determines that a linear relationship exists between the cost of fire damage in major residential fıres and the distance from the house to the nearest fire station. A sample of 15 recent fires in a large suburb of a major city was selected. For each fire, the following variables were recorded: x= the distance between the fire and the nearest fire station (in miles) y= cost of damage (in dollars) The distances between the fire and the nearest fire station ranged between 0.7 miles and 6.1 miles. The correlation between cost and distance is 0.961. Test if the correlation is significant at a=.10. O No, the correlation is not significant because 0.961 does not exceed the critical value. O Yes, the correlation is significant because 0.961 exceeds the critical value. No, the correlation is not significant because 0.961 exceeds the critical value. O Yes, the correlation is significant because 0.961 does not exceed the critical value. O No, the correlation is not…
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.5 8 6.6 3.5 2.9 2.3 2.7 0.4 y 13.6 10.5 9.7 6.8 6.2 5.7 6.5 4.2 * = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.84x + 3.9. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 5.6 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.8 thousand automatic weapons? Answer = Answer = Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X 11.3 y 13.3 10.9 9.9 8.4 6.8 3.9 2.8 2.4 2.5 7 6.7 6.4 6.3 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation ŷ = 0.79x + 4.32. Use this equation to answer the following. Answer = 12.829 0.9 5 A) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons? Answer = 6.123 x Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? x Round to 3 decimal places.
Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees. Assuming a linear relationship, use the least- squares method to compute the regression coefficients b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person. Interpret the meaning of the slope in this equation. Predict the mean height for a tree that has a breast height diameter of 25 inches. Height Diameter at breast height Bark thickness 122.0 20 1.1 193.5 36 2.8 166.5 18 2.0 82.0 10 1.2 133.5 21 2.0 156.0 29 1.4…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.6 6.9 3.9| 2.4 2.2 2.6 0.6 14 11.2 10 7.5 6.1 6 6.3 4.3 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.86x + 4.01. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 1.4 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 5.1 thousand automatic weapons? Answer = Round to 3 decimal places.
Rick is a school principal, and he is trying to decide if there is a relationship between conduct infractions and the number of students present at school during the day when infractions occur. How should he set up a scatterplot to help him see if there is a relationship? O plot the number of infractions on the y-axis and the number of students present on the x-axis O plot the number of infractions on the y-axis and the day of the week on the x-axis O plot the number of infractions on the x-axis and the number of students present on the y-axis O plot the number of infractions on the x-axis and the day of the week on the y-axis
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.5 8.4 6.8 3.4 2.5 2.6 2.6 0.9 13.5 10.9 9.8 6.7 6.3 6.4 4.5 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation 0.83x + 3.99. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 8.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.9 3.9 2.3 2.4 2.6 0.6 y 14.2 11.2 10.2 7.5 5.9 6.4 6 4.3 x = thousands of automatic weaponsy = murders per 100,000 residents This data can be modeled by the equation y=0.88x+3.95. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 7.2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 1.6 thousand automatic weapons? Answer = Round to 3 decimal places.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.8 3.5 2.8 2.8 2.3 0.5 y 13.9 10.8 10.1 7.2 6.5 6.5 6.3 4.8 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.81x + 4.35. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.8 thousand automatic weapons? Answer = Answer = Round to 3 decimal places.
The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x₁), the number of days in the month (x₂), the average product purity (x3), and the tons of product produced (x4). The past year's historical data are available and are presented in the following table: Y 240 236 270 274 301 316 270 296 267 276 288 261 25 31 45 60 65 72 80 84 75 60 50 38 X2 24 21 24 25 25 26 25 25 24 25 25 23 Fit a multiple linear regression to predict power (y) using x1, X2 X3, and X4. Calculate R2 for this model. Round your answer to 3 decimal places. 91 90 88 87 91 94 87 86 88 91 90 89 X4 100 95 110 88 94 99 97 96 110 105 100 98

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