91影视

Given in the question that, We need to interpret the value of $S{E}_b$in context.

The researchers wanted to know how well the amount of beers a person drinks predicts his or her blood alcohol level. Sixteen individuals with a BAC of zero were given a random number of beer cans to drink. On the data, a least squares regression line was used. The question includes a residual plot and a residual histogram. For this data, the computer output is provided. The standard deviation of the slope is given in the row with "Perch" and the column with "Stdev.": $S{E}_b$

${\mathrm{SE}}_b=0.0024$

This suggests that the sample regression line's slope should differ by roughly $0.0024$from the population regression line's true slope.

Given in the question that, We need to find the critical value for a $99\%$ confidence interval for the slope of the true regression line. And calculate the confidence interval.

The researchers wanted to know how well the amount of beers a person drinks predicts his or her blood alcohol level. Sixteen individuals with a BAC of zero were given a random number of beer cans to drink. On the data, a least squares regression line was used. The question includes a residual plot and a residual histogram. For this data, the computer output is provided. As a result, it is stated,

$n=16$

$b=0.017964$

${\mathrm{SE}}_b=0.0024$

The sample size was reduced by two degrees of freedom:

$df=n-2$

$=16-2$

$=14$

In table B, the essential $\mathrm{t}$--value can be discovered in the row of $df=14$and the column of $c=99$percent as follows:

$t^{*}=2.977$

As a result, the confidence interval is as follows:

$b-t^{*}脳{\mathrm{SE}}_b$

$=0.017964-2.977脳0.0024$

$=0.0108192$

$b+t^{*}脳{\mathrm{SE}}_b$

$=0.017964+2.977脳0.0024$

$=0.0251088$

Given in the question that, We need to interpret the interval from part (b) in context.

The researchers wanted to know how well the amount of beers a person drinks predicts his or her blood alcohol level. Sixteen individuals with a BAC of zero were given a random number of beer cans to drink. On the data, a least squares regression line was used. The question includes a residual plot and a residual histogram. For this data, the computer output is provided. As a result, portion (b)

we have, $(0.0108192,0.0251088)$

As a result, we have a $99$percent confidence level that the true slope of the population regression line is between $(0.0108192,0.0251088)$.

Given in the question that, We need to explain the meaning of 鈥�$99\%$ confident鈥� in context.

The researchers wanted to know how well the amount of beers a person drinks predicts his or her blood alcohol level. Sixteen individuals with a BAC of zero were given a random number of beer cans to drink. On the data, a least squares regression line was used. The question includes a residual plot and a residual histogram. For this data, the computer output is provided. In this case, "$99$percent confident" means that the confidence interval will contain the true value of the population parameter in$99$percent of all possible samples.