What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places. CampaignIncrease incost, xsales, y(percent)ху(in millions ofdollars)y4.056.9728.22857.2+1.346.398.56267+1.696.1910.46116.8+2.306.6315.2496.6+3.966.7826.84886.4+2.106.3913.4196.2+1.946.7713.13386.3.096.9421.44461.52.5341.726.6011.352Campaign cost(in millions of dollars)3.126.5920.56082.856.6518.9525Figure 13.776.8625.8622Increase in sales(percent) An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariatedata on twelve recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentageincrease in sales (denoted by y) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also givenis the product of the campaign cost and the percentage increase in sales for each of the twelve campaigns. (These products, written in thecolumn labelled "xy", may aid in calculations.)

Given table : cost (x) Sales (y) 4.05 6.97 1.34 6.39 1.69 6.19 2.30 6.63 3.96 6.78…

Answered: What is the slope of the least-squares…

What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Concept explainers

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.

Question

100%

What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least two decimal places.

Campaign
Increase in
cost, x
sales, y
(percent)
ху
(in millions of
dollars)
y
4.05
6.97
28.2285
7.2+
1.34
6.39
8.5626
7+
1.69
6.19
10.4611
6.8+
2.30
6.63
15.249
6.6+
3.96
6.78
26.8488
6.4+
2.10
6.39
13.419
6.2+
1.94
6.77
13.1338
6.
3.09
6.94
21.4446
1.5
2.5
3
4
1.72
6.60
11.352
Campaign cost
(in millions of dollars)
3.12
6.59
20.5608
2.85
6.65
18.9525
Figure 1
3.77
6.86
25.8622
Increase in sales
(percent)

An advertising firm wishes to demonstrate to its clients the effectiveness of the advertising campaigns it has conducted. The following bivariate
data on twelve recent campaigns, including the cost of each campaign (denoted by x, in millions of dollars) and the resulting percentage
increase in sales (denoted by y) following the campaign, were presented by the firm. A scatter plot of the data is shown in Figure 1. Also given
is the product of the campaign cost and the percentage increase in sales for each of the twelve campaigns. (These products, written in the
column labelled "xy", may aid in calculations.)

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