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Does the scatter plot appear linear? Strong or weak? Positive or negative?

Short Answer

Expert verified

The plot is linear with strong and the correlation is positive

Step by step solution

01

Given Information 

Given in the question is a graph,

02

Explanation

The points on a scatter plot clearly represent a straight line. Therefore, the plot is linear.

The nearer the information points reach to create a straight line when plotted, the more increased the correlation between the two variables, the stronger the connection. If the data points create a straight line proceeding from near the source out to high y-values, the variables are said to have a positive correlation.

Here, The points of the graph are very dense and there is no outlier. So the scatter plot is stronger.

According to the graph, it is in increasing order. Therefore, the correlation is positive.

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Most popular questions from this chapter

64. What is the process through which we can calculate a line that goes through a scatter plot with a linear pattern?

The following table shows data on average per capita coffee consumption and heart disease rate in a random sample of \(10\) countries.

a. Enter the data into your calculator and make a scatter plot.

b. Use your calculator’s regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.

c. Explain in words what the slope and y-intercept of the regression line tell us.

For each of the following situations, state the independent variable and the dependent variable.

a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per100,000 driver is compared to the age of drivers.

b. A study is done to determine if the weekly grocery bill changes based on the number of family members.

c. Insurance companies base life insurance premiums partially on the age of the applicant.

d. Utility bills vary according to power consumption.

e. A study is done to determine if a higher education reduces the crime rate in a population.

Ornithologists, scientists who study birds, tag sparrow hawks in \(13\) different colonies to study their population. They gather data for the percent of new sparrow hawks in each colony and the percent of those that have returned from migration.

Percent return:\(74; 66; 81; 52; 73; 62; 52; 45; 62; 46; 60; 46; 38\)

Percent new:\(5; 6; 8; 11; 12; 15; 16; 17; 18; 18; 19; 20; 20\)

a. Enter the data into your calculator and make a scatter plot.

b. Use your calculator’s regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.

c. Explain in words what the slope and y-intercept of the regression line tell us.

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis the number of endorsements the player has and yis the amount of money made (in millions of dollars)

xyxy
02512
3849
2739
1303
513410

.When n=2andr=1,are the data significant? Explain

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