Question: Please create the graphs and charts including the scatter. Thank you Studies have shown that the frequency with which shoppers browse Internet retailers is related
Please create the graphs and charts including the scatter. Thank you
Studies have shown that the frequency with which shoppers browse Internet retailers is related to the frequency with which they actually purchase products and/or services online.The following data show respondents age and answer to the question "How many minutes do you browse online retailers per week?"
Age (X) Time (Y)
23 513
51 207
45 201
33 405
56 141
61 141
39 297
23 501
22 531
46 273
53 147
34 381
20 591
18 609
22 519
1 Use Data > Data Analysis > Correlation to compute the correlation checking the Labels checkbox.
2 Use the Excel function =CORREL to compute the correlation. If answers for #1 and 2 do not agree, there is an error.
3) The strength of the correlation motivates further examination.
a. Insert Scatter (X, Y) plot linked to the data on this sheet with Age on the horizontal (X) axis.
b. Add to your chart: the chart name, vertical axis label, and horizontal axis label.
c. Complete the chart by adding Trendline and checking boxes
Instructions Display Equaction on chart / Display R-squared value on chart
4) Read directly from the chart:
a) Intercept=
b) Slope=
c) R2 =
5) Perform Data > Data Analysis > Regression.
6) Read the standard error in the regression output?
7) Based on the regression output, what isthe equation of the regression line?
8) Use Excel to predict the number of minutes spent by a 40-year old shopper. Enter = followed by the regression formula. Enter the intercept and slope into the formula by clicking on the cells in the regression output with the results.
14) The correlation R measures the strength of the linear association of variables Y and X, and does not have a unit of measure, e.g. feet, acres, pounds, seconds. True or False
15) Based on the correlation computed earlier, does Time tends to increase with Age? True or False
16) The strength of the linear relationship between Age and Time is which one? weak, moderate, or strong
17) Highlight the 4 correct statements. Try not to mix up explanatory and response with dependent and independent.
X denotes the independent or response variable
X denotes the independent or explanatory variable
Y denotes the dependent or explanatory variable
Y denotes the dependent or response variable
x denotes an observed value of the independent variable
x denotes an observed value of the dependent variable
y denotes the mean value of observations of the response variable
18) The best fitting line minimizes the vertical distances from the points to the line. Hence, the Y coordinate of a point on the best fitting line provides an estimate or prediction
of Y at the value of the corresponding X coordinate. This process is called regression (to move backward) because
The estimate of Y will be closer to the mean in standard deviations than X is or
The estimate of Y will be farther from the mean in standard deviations than X is.
19) Highlight 4 assumptions pertaining to regression:
Scatter plot pattern is reasonably straight (Linearity)
No points lie far enough away to pull the line of best fit away from the main point pattern (Influence).
The plot does not fan out as x increases or decreases (Equal Spread)
Predict Y at a value of X within the range of the X data (Interpolation)
Predict Y at a value of X outside the range of the X data (Extrapolation)
The observations are independent (Independence)
20) Based on the data from problems 1-8, can Y be predicted for a person who is 80? yes or no
21) The "intercept" and "slope" completely define the best fitting line.
The intercept is the vertical distance from the origin (where the X and Y axes intersect) up or down to the line. It sets the elevation of the line. True or False
22) As a positively signed slope increases which of the following is correct and why?
The whole line moves up without rotating
The whole line moves down without rotating
The line rotates clockwise becoming less steep
The line rotates counterclockwise becoming more steep
23) Based on the data from problems 1-8, when Age increases by 1 year, Time decreases by which of the following?
0.97 32.10 750.02 11.503
24) R2 measures the fit of the line to the points. As R2 increases based on which of the following?
The scatter about the line increases and the amount of the variation of Y explained by X decreases
The scatter about the line decreases and the amount of the variation of Y explained by X increases
The scatter about the line increases and the amount of the variation of Y explained by X increases
The scatter about the line decreases and the amount of the variation of Y explained by X decreases
25) The Standard Error is a standard deviation measuring the scatter of the points about the regression line. True False
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