Question

If the slope of a regression line is zero, the orientation of the regression line is _________, which indicates a lack of a relationship.

Answer #1

If the slope of regression line is 0, the orientation of regression line is horizontal which indicates lack of relationship.

Reason -

Equation of regression line is -

Y = a + bX

Where, a - intercept & b - slope

If value of slope is equal to 0, then regression equation becomes -

Y = a

It means that for any value of X, value of Y remains same & which is equal to intercept value.

If we draw a scatter plot, then it will show a horizontal line.

Hence, if the slope of regression line is 0 then orientation of regression line is horizontal which indicates lack of relationship.

Please answer the question briefly and
clearly.
1. The best model to describe a linear relationship between two
variables is the _______.
2. An assumption of linear regression states that for each value
of X, there is a group of Y values that are
statistically (Independent) and (normally
distributed) about the regression line.
3. If the slope of a regression line is zero, the orientation of
the regression line is (Flat, or Constant), which
indicates a lack of a relationship....

A scatter diagram is a graph that portrays a correlation between
a ________________variable and a _______________ variable.
The _________________ of _________________ is expressed as a
percent, its value is between 0 and 100%.
In plotting paired data in a scatter diagram, the independent
variable is scaled on the __________________.
If there is absolutely no relationship between two variables,
Pearson's r will equal _____.
________________________________________
If the coefficient of correlation is 0.80, the coefficient of
determination is _____.
________________________________________
The proportion...

A 95% confidence interval for the slope of a regression line is
found to be (-0.32, 1.56). Which of the following statements is a
valid conclusion from this interval?
The regression line is only valid for values of the independent
variable between -0.32 and 1.56.
There is a 95% chance that the true slope of the regression line
is positive.
There is sufficient evidence to conclude that the true slope of
the regression line is not 0.
There is insufficient...

How
are the slope and intercept of a simple lonear regression line
calculator? What do they tell us about the relationship between the
two variables?

How are the slope and intercept of a simple linear regression
line calculated? What do they tell us about the relationship
between the two variables?
Please provide an example.

If
the slope of the fitted regression line is -0.91, then describe the
relationship between two variables: Demand in number of units (y)
and price in dollars (x). Provide one or two sentences and use the
variable names properly

1) Regression:
a) is a statistical technique that is not influenced by
outliers.
b) identifies the resistance of a relationship.
c) measures the strength but not the direction of a
relationship.
d) can be used for prediction.
2) The best-fitting regression line:
a) has the smallest total standard error.
b) has the smallest slope.
c) has the largest total squared error of prediction.
d) is the line with the smallest (Y – Ŷ)2 value.
If the slope (b) of the...

Which is not correct regarding the estimated slope of
the OLS regression line?
a. It shows the change in Y for a unit change in X.
b. It is divided by its standard error to obtain its t
statistic.
c. It may be regarded as zero if its p-value is less than α.
d. It is chosen so as to minimize the sum of squared errors.

The regression line can never be used for prediction. True
False
The slope is the amount Y changes for every increase in X. True
False
"When you calculate a regression equation, you want the line
with the most error. " True False
"Correlation measures the linear relationship between two
variables, while a regression analysis precisely defines this line.
" True False
The predicted value based on a regression equation is a perfect
prediction. True False
What represents the intercept (the...

2. What is the value on the slope of the least square regression
line? Interpret the slope in the context of this situation.Please
type answer or write legible.

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