Researchers are conducting a study in an attempt to establish a linear relationship between the number of online music video views and the number of guitar sales. A computer output for regression is shown and is based on a sample of seven observations. Predictor Coeff St. Dev t Ratio p-Value Constant 7.85671094 1.316226455 5.969118 0.001889 Music Video Views 0.094781123 0.027926367 3.393965 0.019378 What represents the 99% confidence interval for the slope of the regression line?

a. 0.0948 ± 3.499(1.3162)

b. 0.0948 ± 4.032(1.3162)

c. 0.0948 ± 3.707(0.0279)

d. 0.0948 ± 4.032(0.0279)

d. 0.0948 ± 4.032(0.0279)

Step-by-step explanation:

A 99% confidence interval for the coefficient of promotional expenditures is, First, compute the t critical value then find confidence interval.

The t critical value for the 99% confidence interval is,  

The sample size is small and two-tailed test. Look in the column headed es = 0.01 and the row headed in the t distribution table by using degree of freedom is here

for (n-2=5) degree of freedom and 99% confidence ; critical t =4.032

therefore 99% confidence interval for the slope =estimated slope -/+ t*Std error

= 0.094781123 -/+ 4.032* 0.027926367 = -0.017822 to 0.207384

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.